# a cylinder of maximum volume is cut off from a solid cuboid with square box of side 14 cm and height 20 cm find the volume of metal

48,012 questions
1. ## Maths

a cylinder of maximum volume is cut off from a solid cuboid with square box of side 14 cm and height 20 cm find the volume of metal

asked by Abiyazzzzz on February 10, 2019
2. ## maths

A cyclinder of maximum volume is cut off from a solid cuboid with square box of slide 14cm and height 20cm.find. find the volume of metal wasted

3. ## calculus

An open box of maximum volume is to be made from a square piece of cardboard, 24 inches on each side, by cutting equal squares from the corners and turning up the sides to make the box. (a) Express the volume V of the box as a function of x, where x is

asked by Anonymous on March 27, 2011
4. ## maths

a square piece of tin 31cm and20cm is to be made into a box without top,by cutting a square from each corner and folding up the flaps to form the box.what should be the side of the square to be cut off so that the volume of the box is the maximum possible?

asked by haritha on October 16, 2013
5. ## Math

Nathan is designing a box to keep his pet newt in. To make the box, he’s going to start with a solid rectangle and cut squares with sides x cm in length from each corner, as shown in the picture below. The dimensions of the of the solid rectangle are 51

asked by Matt on October 30, 2014
6. ## precalculus

A square of size x inches is cut out of each corner of an 8in by 12in piece of cardboard, and the sides are folded up to form an open-topped box. Determine the dimensions of the cut-out squares that will produce the box of maximum volume.

asked by Anonymous on December 16, 2015
7. ## Pre-calculus

A square of size x inches is cut out of each corner of an 8in by 12in piece of cardboard, and the sides are folded up to form an open-topped box. Determine the dimensions of the cut-out squares that will produce the box of maximum volume.

asked by jul on December 16, 2015
8. ## math

A rectangular box is built by cutting out square corners from a 9" by 11" piece of cardboard, then folding the resulting flaps up to form the height. Let x represent the sides of the square corners being cut out. Express the volume of the box as a function

asked by Keonn'a on October 26, 2018
9. ## college algebra

An open box is made from a square piece of cardboard 20 inches on a side by cutting identical squares from the corners and turning up the sides.(a) Express the volume of the box, V , as a function of the length of the side of the square cut from each

asked by danny on September 27, 2012
10. ## algebra

open box made from 33 x 33 inch sheet of metal by cutting out x-inch square from each corner and folding up the sides. What size square should be cut out to produce a box of maximum volume? (This is algebra class)

asked by Sushmitha on October 15, 2011
11. ## Math

A Candy box is made from a piece of cardboard that meaasures 11 by 7 inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box. What size square should be cut from each corner to obtain maximum

asked by Anonymous on April 27, 2011
12. ## Math

A 5 cm by 5 cm square is cut from each corner of a rectangular piece of cardboard. The sides are folded up to make an open box with a maximum volume. If the perimeter of the base is 50 cm, what are the dimensions of the box?

asked by Anonymous on December 5, 2018
13. ## Mathematics

a cuboid with length 13cm width 4cm and height h State in terms of h the shaded face of the cuboid. write an expression in terms of h for the volume of the cuboid. if the volume of the cuboid is 286cm cube calculate the height h of the cuboid.

asked by SAM on May 2, 2012
14. ## math

Identical square are cut from each corner of an 8 inch by 11.75inch rectangular piececof cardboard.the sides are folded up to make a box with no top . if the volume of the resulting box is 63.75 cubic inches how long is the edge of each square that is cut

asked by zoren on August 11, 2016
15. ## Calculus (Optimization)

A rectangular piece of cardboard, 8 inches by 14 inches, is used to make an open top box by cutting out a small square from each corner and bending up the sides. What size square should be cut from each corner for the box to have the maximum volume? So far

asked by Mishaka on December 16, 2011
16. ## Math 117

1.) A rectangular solid and a circular cylinder have the same volume and the same height. The base of the rectangular solid is a square. Which (if any) of the following statements are true? (i) The rectangular solid and the cylinder have the same base

asked by Zack on August 20, 2009
17. ## calculus

from a cardboard box 12 in by 8 inches are cut out so the sides can be folded up to make a box . What dimentions will yield a maximum volume? What is maximum volume? we got our V = 4x^3--40x^2+96x V'=12x^2-80x +96 then we know to use quadratic equation I

asked by kim on May 7, 2017
18. ## Maths

Show that the maximum volume of a cylinder of radius r which can be cut centrally from a right solid cone of height h and semi-vertical angle alpha is givenby (4pi/27)h^3tan^2alpha

asked by Joel on August 9, 2016
19. ## math

A rectangular box open at the top has a square base. The internal side of the base is x cm long and the total internal surface area of the box is 432cm2. Express in terms of x. (i) the internal height h, of the box; (ii) the internal volume V, of the box.

asked by kd on October 31, 2018
20. ## math

a 5cm by 5cm square is cut from each corner of a rectangular piece of cardboard.the sides are folded up to make an open box with a maximum volume.if the perimeter of the base is 50cm,what are the dimensions of the box.

asked by Lilibeth on August 12, 2014
21. ## Calculus

A manufacturer constructs open boxes from sheets of cardboard that are 6 inches square by cutting small squares from the corners and folding up the sides. The Research and Development Department asks you to determine the size of the square that produces a

asked by Isaac on August 9, 2011
22. ## algebra 2

you can make an open box from a piece of flat cardboard. First cut congruent squares from the four corners of the cardboard. Then fold and tape the sides. let x equal the side of each congruent squares as x increases so does the depth of the box the

asked by herry on October 29, 2011
23. ## Math - Calculus

Question: A box in the shape of a cuboid with a square base is to be made so that the sum of its dimensions (l + b + h) is 20cm. Find its maximum value.

asked by GZB on July 6, 2018
24. ## math

A cuboid has a square base of side 18cm.The height of the cuboid is 10.4cm.Find its volume

asked by kimi on September 5, 2011
25. ## MATH

A cardboard sheet is of rectanguler shape with dimensions 48m x 36m. From each of its corners,a square is cut off so as to make an open box. if the side of the square of the square is 8m, find the volume and lateral surface area of the box.

asked by SHUBHAM on April 1, 2015
26. ## Math

The shaded face of the cuboid is a square and has an area of 64 cm2. What is the volume of the cuboid that has a width of 17 cm? Can you plzz explain how you found you're answer..... -THANX¢¾

asked by Sumaiya on January 25, 2011
27. ## Math

The shaded face of the cuboid is a square and has an area of 64 cm2. What is the volume of the cuboid that has a width of 17 cm? Can you plzz explain how you found you're answer..... -THANX♥

asked by Sumaiya on January 25, 2011
28. ## functions

Given a 10 cm by 20 cm piece of paper, if you cut out four equal squares from the corners and fold up the resulting sides you will create an open box. Write an expression for the volume of this box in terms of the side length of each cut‐out square, x.

asked by RRR on May 5, 2015
29. ## Algebra

Given a 10 cm by 20 cm piece of paper, if you cut out four equal squares from the corners and fold up the resulting sides you will create an open box. Write an expression for the volume of this box in terms of the side length of each cut‐out square, x.

asked by Reza on May 4, 2015
30. ## calculus

You have an 8.5 inch by 11 inch piece of paper. You need to cut out four squares in each corner of the box so you can fold the sides of the paper and create a volume for the box. 1. Write an equation that represents the volume of the box. 2. What is the

asked by John on October 10, 2008
31. ## Math

A rectangular piece of metal with dimensions 14 CMA 24 CM is used to make an open box equal squares of side length X centimeters are cut from the corners and sides are folded up a polynomial function that represents the volume, V,of the box is:

asked by Beth on October 1, 2015
32. ## calculus

A 33 by 33 square piece of cardboard is to be made into a box by cutting out equal square corners from each side of the square. What size corners should be cut out so that the volume of the box is maximized?

asked by james on February 20, 2012
33. ## Pre-calculus

You are given a 12"x18" piece of construction paper. You are to cut a square out of each corner in order to create a 3-dimensional open-top box. What size squares would you need to cut in order to maximize the volume of the box?

asked by John on November 27, 2012
34. ## math

a metallic sheet is of rectangular shape with dimensions 28m×36m from each of its corners a square is cut off so as to make an open box the volume of the box is Xm^3 , whenthe length of the square is 8m the value of X is?

asked by diya on November 17, 2015
35. ## Calculus

A manufacturer constructs open boxes from sheets of cardboard that are 6 inches square by cutting small squares from the corners and folding up the sides. The Research and Development Department asks you to determine the size of the square that produces a

asked by Isaac on August 9, 2011
36. ## algebra

Volume of a Box A box is constructed by cutting out square corners of a rectangular piece of cardboard and folding up the sides. If the cutout corners have sides with length x, then the volume of the box is given by the polynomial A box is constructed from

asked by mich on August 13, 2011
37. ## algebra

Volume of a Box (Refer to the preceding exercise.) A box is constructed from a square piece of metal that is 20 inches on a side. (a) If the square corners of length x are cut out, write a polynomial that gives the volume of the box. (b) Evaluate the

asked by mich on August 13, 2011
38. ## Calculus

A box with an open top is to be made from a square piece of cardboard by cutting equal squares from the corners and turning up the sides. If the piece of cardboard measures 12 cm on the side, find the size of the squares that must be cut out to yield the

asked by Candy on March 8, 2012
39. ## Pre-Calculus

Squares of side length x are removed from the 4 corners of an 11in by 8.5in piece of paper. The sides are then folded up to create an open-top box. Write a funcion that determines the volume of the box and determine the functions range. How much should be

asked by Calvin on January 8, 2017
40. ## Math

A rectangular sheet measuring 80cm and 50cm is 2mm thick and is made of metal whose density is 2.5g/cm cubed.A square of side 5cm is removed from each corner of the rectangle & the remaining part folded to form an open cuboid. Calculate a)The area of metal

41. ## I need help with algebra ASAP!

I'm in Algebra 1 this year and I really need help solving these equations. Completing the square 1)c^2-7c= -12 2)x^2-2x-8= 0 Incomplete Quadratic Equations 1) 2x^2-2 = 16 Any advice will be appreciated! c^2-7c= -12 What is 1/2 of -7? Square that, and add

asked by Jessica on August 24, 2005
42. ## Pre-calc

Congruent squares are cut from the corners of a 20 in. square piece of tine, and the edges are turned up to make an open box. How large should the squares cut from the corners be in order to maximize the volume of the box?

asked by Bobert on May 15, 2012
43. ## calculus-max & min

an open box with a square base is to be constructed from 48 square inches of material. What dimensions will produce a box with maximum volume?

asked by Pat on January 31, 2013
44. ## calculus

An open box having a square base is to be constructed from 32 square inches of material. What should be the dimensions of the box to obtain a maximum volume?

asked by jenna on January 22, 2017
45. ## Math

If the radius of a right circular cylinder is tripled and its altitude is cut in half, then the ratio of the volume of the original cylinder to the volume of the altered cylinder is?

asked by Timothy on November 8, 2017
46. ## calculus

an open box is to be made from a piece of metal 16 by 30 inches by cutting out squares of equal size from the corners and bending up the sides. what size should be cut out to create a box with the greatest volume? what is the maximum volume?

asked by lulu on November 18, 2011
47. ## algebra

Make a box with a square base using only 250 square feet of material. what dimensions for the box will produce a maximum valume? what is the maximym volume?

asked by Nabil on October 15, 2011
48. ## physics.pls help

The volume of a cylinder is defined by the formula V=pie R squared h. If initially have a cylinder with a volume of 10m cubed. Find the volume of the cylinder if the height doubles and if the height is cut in half. pls i really need help.

asked by ted on November 3, 2011
49. ## Geometry

Imagine a piece of square paper that measures 20 by 20 cm. You can make a box (with no lid) by cutting a square of the same size from each corner and folding up what's left to make a box. Keeping the lengths of each sides integers, what is the maximum

asked by Ella on December 5, 2013
50. ## math

A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 40 cm by 60 cm by cutting equal squares from the four corners and turning up the sides. Find the length of the side of the cut-out square so that

asked by Jeffrey on July 25, 2011
51. ## calculus

7. A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 40 cm by 60 cm by cutting equal squares from the four corners and turning up the sides. Find the length of the side of the cut-out square so that

asked by Jeff on July 30, 2011
52. ## algebra

Amy's project in metal shop class is to make a box (with no lid). Her shop teacher gave her a piece of metal that is 28 cm long and 20 cm wide. The assignment is to form the box by cutting squares out of each corner and bending the sides as shown below.

asked by lexis green on May 9, 2012
53. ## MATH 12

The total surface area of a square-based open top rectangular box is 12 square units. Find the dimensions of the box such that the volume is the maximum.

asked by BIINWEI on April 28, 2014
54. ## Calculus

A box with an open top is to be constructed from a square piece of cardboard, 10in wide, by cutting out a square from each other of the four and bending up the sides. What is the maximum volume of such a box?

asked by Rudy Brandares Jr. on April 21, 2018
55. ## calculus

My brother wants to make an open-topped box out of a 4x 6 square foot piece of card board by cutting identical squares from the corners and folding up the sides. What is the dimension of each square he will cut out of each corner in order to max the volume

asked by kelly on January 22, 2017
56. ## Precalculus

An open box is to be formed from a square sheet of carboard (square is 10x10 cm) by cutting squares and then folding up the sides. (the squares cut off are just the corners as they are labeles as an x by x). A) Find a function for the volume of the box.

asked by Sam on October 23, 2012
57. ## Precalculus

An open box is to be formed from a square sheet of carboard (square is 10x10 cm) by cutting squares and then folding up the sides. (the squares cut off are just the corners as they are labeles as an x by x). A) Find a function for the volume of the box.

asked by Sam on October 23, 2012
58. ## Calculus

A rectangular piece of tin has an area of 1334 square inches. A square tab of 3 inches is cut from each corner, and the ends and sides are turned up to make an open box. If the volume of the box is 2760 cubic inches, what were the original dimensions of

asked by James on June 13, 2016
59. ## pre-calc

A box with an open top is to be constructed by cutting equal-sized squares out of the corners of a 18 inch by 30 inch piece of cardboard and folding up the sides. a) Let w be the length of the sides of the cut out squares. Determine a function V that

asked by moshie on February 8, 2015
60. ## Calculus

An open top bos with a square base is to be constructed from 192 sq ft of material. What should be the dimensions of the box if the volume is to be a maximum? What is the maximum volume?

asked by Derek on October 29, 2012
61. ## Physics

Four objects - a hoop, a solid cylinder, a solid sphere, and a thin, spherical shell - each has a mass of 4.59 kg and a radius of 0.252 m. (a) Find the moment of inertia for each object as it rotates about the axes shown in the table above. hoop____ kg·m2

asked by Ana on March 19, 2010
62. ## Geometry,Math

Is my data correct? For package design I will use a cylinder. The Equation for the surface area of a cylinder is A = 2 π r h + 2 π r² . The equation for the volume of a cylinder is V = π r² h. I have chosen a cylinder for my cereal box because I

asked by Help! on May 22, 2016
63. ## Mathematics

An open box is made from a square piece of sheet metal 19 inches on a side by cutting identical squares from the corners and turning up the sides. Express the volume of the box, V, as a function of the length of the side of the square cut from each corner,

asked by sexana on December 3, 2015
64. ## Math

i have a piece of paper 22 in. long and 16 in. wide. i cut a 2 in. x 2 in. square from each corner. i then folds up the sides and forms a box with an open top. what is the volume of this box?

asked by Damien on February 24, 2011
65. ## Pre-Cal

I have a piece of paper 22 in. long and 16 in. wide. I cut a 7 in. x 7 in. square from each corner. I then fold up the sides and form a box with an open top. What is the volume of this box?

asked by Lauren on February 6, 2012
66. ## math

An open box is made from a rectangular piece of cardboard measuring 16 cm by 10cm. Four equal squares are to be cut from each corner and flaps folded up. Find the length of the side of the square which makes the volume of the box as large as possible. Find

asked by annie on March 27, 2013
67. ## Physics

An infinitely long, solid insulating cylinder with radius a has positive charge uniformly distributed throughout it with a constant charge per unit volume p. a) using Gauss's law, derive the expression for the electric field inside the cylinder ra c)

asked by Sally on June 15, 2016
68. ## algebra

An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out. 1. Find the function V that

69. ## mathyematics

a diagram of the net of each of the following solid cube, cuboid, cylinder,cone, prism, pyramid and sphere. See response to your second post.

asked by jason on May 25, 2007
70. ## calculus

A box with a square base is to be constructed with a surface area of 726 square centimeters. 1. Draw a diagram of the box. Label the diagram appropriately with variables. 2. Write an objective equation and a constraint equation (label each one as objective

asked by Courtney on April 8, 2015
71. ## Maths

Q1. A metallic sheet of the rectangular shape with dimensions 50cm x 40cm. From each one of its corner, a square of 5cm is cut off. An open box is made of the remaining sheet. Find the volume of the box and the total surface area of the box.

asked by Freshi on February 1, 2017
72. ## Math - Calculus

Problem solving with derivatives. A rectangular box has square base of edge length x cm. Its framework of 12 edges is constructed from wire of total length 36cm. Find: i. the height of the box in terms of x ? ii. the volume of the box in terms of x? ii.

asked by GZB on July 6, 2018
73. ## math

A metalic sheet of rectangular shape with 48m*36m from each of it corner a square is cut off so as to make an open box. if length of each square length is 8m find the volume of the open box ????

asked by TUHITUHI on January 27, 2013
74. ## Math

Arlan needs to create a box from a piece of cardboard. The dimensions of his cardboard are 10 inches by 8 inches. He must cut a square from each corner of the cardboard, in order to form a box. What size square should he cut from each corner, in order to

asked by Ciara on August 5, 2014
75. ## algebra

have 50 sq ft of material to make an open top box with a square base. a) use formula for surface area to express the height h of the box in terms of x. b) find the dimensions of the box that will produce the maximum volume.

asked by Sejul on December 3, 2011
76. ## Calculus

A closed box is to be a rectangular solid with a square base and volume of 12 ft^3. Find the most economical dimensions if the top of the box is twice as expensive as the sides and bottom.

asked by Candy on March 10, 2012
77. ## Algebra

A rectangular box is to be made from a piece of cardboard 6 cm wide and 14 cm long by cutting out squares of the same size from the four corners and turning up the sides. If the volume of the box is to be 40 cm^3, what should the length of the side of the

asked by Arnee on November 25, 2015
78. ## Math

A square sheet of cardboard 100 cm by 100 cm is to have corners of side length x cut out. These cutouts will create flaps that can be folded up to form a box with no lid. The length and width of the base of the box are given by the expression (100 – 2x),

asked by Alex on January 11, 2015
79. ## Calculus

You are given a 60 inch by 30 inch piece of cardboad and asked to make a six-sided box. If the cardboard is cut along the lines shown, what will the dimensions of the box with maximum volume?

asked by Alex on January 3, 2011
80. ## AP Calculus

An open box is to be made from cutting squares of side 's' from each corner of a piece of cardboard that is 35" by 40". (a) Write an expression for the volume, 'V', of the box in terms of 's'. (b) Draw a graph of V(s). (c) State the domain and range of

asked by Casey on July 17, 2013
81. ## Engineering

A box with an open top is to be made from a square piece of cardboard by cutting equal squares from the corners and turning up the sides. If the piece of cardboard measures 12 in on the side, find the size of the squares that must be cut out to yield the

asked by Trisha on September 6, 2014
82. ## Calculus - Optimization

A parcel delivery service a package only of the length plus girth (distance around) does not exceed 24 inches. A) Find the dimensions of a rectangular box with square ends that satisfies the delivery service's restriction and has a maximum volume. What is

asked by Jess on November 16, 2013
83. ## Calculas

an open box is to be made from a square piece of cardboard whose sides are 19 inches long,by cutting squares of equal size from the corners and bending up the sides. Determine the size of the aquare that is to be cut out so that the volume may be a

asked by jessica on December 7, 2014
84. ## math

a square sheet of tin 30cm on a side is to be used to make an open - top box by cutting a small square of tin from each corner and bending up the sides. how large should be the square cut from each corner to make the box's volume as large as possible

asked by irma on May 12, 2013
85. ## calculuc

A rectangular box without a lid is to be made from 12 square meters cardboard. Find the maximum volume of such a box.

asked by daniel on April 17, 2011
86. ## calculus

A car[enter will be building a stained glass jewelry box. The frame of the box is to be built from a 48 inch stripe of metal which will be cut into 12 pieces. The 12 pieces are then soldered to form a rectangular box whose base is twice as long as it is

asked by Demetra Mallios on November 6, 2011
87. ## math 12

\$identical\:squares\:are\:cut\:from\:each\:corner\:of\:a\:rectangular\:piece\:of\:cardboard,\:7\:cm\:by\:10\:cm.\:The\:sides\:are\:then\:folded\:up\:to\:make\:a\:box\:with\:an\:open\:top.\:If\:the\:volume\:of\:the\:box\:is\:25\:cubic\:centimeter,\:how\:long\:is\:the\:side\:of\:each\:square?\$

asked by sally on September 10, 2014
88. ## Geometry

A square piece of cardboard, 24 inches by 24 inches, is to be made into an open box by cutting out each of the four corners. Each side of the box will then be folded up. Find the maximum volume that the box can hold.

asked by Tom on November 13, 2014
89. ## maths

The rectangle box with square base is open at the top. The maximum volume of the box made from 1200 m2 tin,in m3 is:

asked by Anonymous on September 7, 2014
90. ## Math

An open-topped box is constructed from a piece of cardboard with a length 2 cm longer than its width. A 6 cm square is cut from each corner and the flaps turned up from the sides of the box. If the volume of the box is 4050 cm3 , find the dimensions of the

asked by Aria on March 24, 2015
91. ## pre-calculus

An open box is made from a square piece of material 36 inches on a side by cutting equal squares from the corners and turning up the sides. Use your calculator to find the maximum volume this box can hold. I got the equation 4x^3-36x^2+1296x = V But when I

asked by perry on September 18, 2009
92. ## Math

A square sheet of cardboard 100 cm by 100 cm is to have corners of side length x cut out. These cutouts will create flaps that can be folded up to form a box with no lid. The length and width of the base of the box are given by the expression (100 – 2x),

asked by Alex on January 11, 2015
93. ## Calculus

What is the maximum volume of a closed box with a square base which can be made by bending the material? The box is to have a surface area of 100in^2.

asked by Paige on October 25, 2015
94. ## Algebra 1 (Reiny!)

A piece of 8.5-by-11-inch cardboard has identical squares cut from its corners. It is then folded into a box with no lid. The volume of the box in cubic inches is 4c^3 - 39c^2 + 93.5c, where c is the side length of the missing squares in inches. a. What is

asked by Anonymous on February 9, 2014
95. ## Math

From an 8 inch by 10 inch rectangular sheet of paper, squares of equal size will be cut from each corner. The flaps will then be folded up to form an open-topped box. Find the maximum possible volume of the box.

asked by tammy on April 9, 2011
96. ## Pre Calc

an open box is to be formed by cutting squares from a square sheet of metal that is 10 cm on a side and then folding up the sides. What i the maximum volume of the box?

asked by Rusty Wallace on October 19, 2011
97. ## math final review (help)

from a 12cm by 12cm piece of cardboard, square corners are cut out so that the sides can be folded up to make a box. Express the volume of the box as a function of the length, x, in centimeters.

asked by christina on December 16, 2012
98. ## math

Square of a side x are cut from each corner of an 8 inches * 5 inches rectangle, so that its sides can be folded to make a box with no top. Define a function that can represent the volume of this box.

asked by Mar on June 26, 2016
99. ## math

Inside a long empty cylinder with radius R = 25 cm is put a long solid cylinder with radius r = 10 cm such that the bases of the two cylinders are attached. Then water is poured in the remaining empty region of the first cylinder until the height of the

asked by emy on February 22, 2015
100. ## math

a manufacturer wants to design an open box that has a square base and a surface area of 48sq units what dimension will produce a box with a maximum volume?

asked by ruth on February 15, 2016