# so if my question is find the dimensions of a box that will hold twice as many cubes as a box that is 2 by 6 by 4 a] volume of original box: 48 b]volume of new box is :96

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### math

so if my question is find the dimensions of a box that will hold twice as many cubes as a box that is 2 by 6 by 4 a] volume of original box: 48 b]volume of new box is :96 c] dimensions of new box is 12 by 4 by 2

### math 5TH GRADE

The factory wants you to build a box that will hold twice as many cubes.What are the dimensions of a box that contains two times as many cubes as a box that is 2 by 3 by 4 ? W rite the dimensions and explain how you found your answer.

### math

The factory wants you to build a box that will hold twice as many cubes. What are the dimensions f a box that contains two times as many cubes as a box that is 2 by 3 by 4

### Math

Find the dimensions of a box that will hold twice as many cubes as a box that is 2 by 6 by 4

### Math

Find the dimensions of a box that will held twice as many cubes as a box that is 2 by 6 by 4...Find the volume of original box..(2) Find the volume of the new box..(3) find the dimensions of new box...

### 5th grade math

find two boxes that will hold HALF as many centimeter cubes as the 3 centimeters by 4 centimeters by 6 centimeters box. what would the dimensions of each box be. dimensions of the first box dimensions of the second box.

### 5th grade math

How do you find the dimensions of a box that hold 2xs as many cubes as a box that is 2 by 3 by 4?

### math

A clerk is packing cubes into a box each cube has edges of 6 inches the dimensions of the box are 15 inches by 30 i.ches by 18 inches find how many cubes will fit in the box ? I don't know how to solve and explain how i found my answer please

### algebra

A rectangular box has Dimensions 16 inches and 22 inches and volume 4224 cubic inches. If the same amount is decreased from the largest and smallest sides, the volume of the new box is 6/11 of the first box. Find the dimensions of the second box.

### Calculus

I actually have two questions: 4. An open box is to be made from a rectangular piece of material 3m by 2m by cutting a congruent square from each corner and folding up the sides. What are the dimensions of the box of the largest volume made this way, and what is the volume? 5...

### math

a memo cube is1 cubic unit. christine packs 6 memo cubes into a box. there is room in the box for 8 more cubes.what is the volume of the box?

### math

a memo cube is1 cubic unit. christine packs 6 memo cubes into a box. there is room in the box for 8 more cubes.what is the volume of the box?

### calculus

An open box is to be made out of a 8-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume. Dimensions of the bottom of the box: Height of the...

### 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.

### math 5TH GRADE

how many boxes can you find that will hold two times as many cubes as a 2 by 3 by4 box.record each of the dimensions

### Math

A box manufacturer wants to produce an open box for which the volume is 2 cubic meters and the length is twice the width. What actual dimensions of he box will require the least amount of material? Work: V = 2m^3 2m^3 = (w)*(2w)*(h) Possible dimensions: length width height ...

### math

I need some serious help. I am a grade 10 student and I have this assignment due for tomorrow, but I can't get past the first question. The first part of the question asks me to calculate the volume of a box (prism) measuring 100mm by 60mm by 40mm. I got that part- the answer ...

### calculus

A box with a square base and an open top is to have a volume of 68in^3 . Neglect the thickness of the material used to make the box, and find the dimensions of the box that would minimize the amount of material used. The width and length of the box are each ___ in. The height ...

### math

A manufacturer sells widgets, each of which is packaged in a box whose dimensions are 8 centimeters by 8 centimeters by 8 centimeters. Design the dimensions of a box to ship widgets. Your box must hold at least 1000 widgets. (Enter your answer in the form length, width, height...

### Calc

An open box is to be made out of a 10-inch by 16-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume. Dimensions of the bottom of the box:

### Math

A box has a bottom with one edge 7 times as long as the other. If the box has no top and the volume is fixed at V, what dimensions minimize the surface area? Please help me find the COMPLETE dimenssion of the box.

### Calculus

An open box with a capacity of 36,000 cubic inches is to be twice as long as it is wide. The material for the box is $.10/sq ft. What are the dimensions of the least expensive box? How much does it cost?

### Pre-algebra

Hey I'm having a lot of trouble with this question. An open box is to be made from a 20 inch by 40 inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. A) What size should the squares be in order to obtain a box with the ...

### 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.

### Math

Ms Rowe needs to make a box to hold 729 cm^3. She needs the box to have a lid. What are the dimensions of the box that would minimise the surface area?

### 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 the box has the largest...

### 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 the box has the ...

### Algebra 2

The dimensions in inches of a shipping box can be expressed as width x, length x + 1, and height x - 4. The volume is 84 ft^3. Find the dimensions of the box in feet. 1, 1, 4 2, 2, 21 2, 6, 7 3, 4, 7 Please help? If somebody can help put this into an equation for me, I can do ...

### Changing Dimension

Find the dimension of a box that will hold half as many cubes as a box that is 2 by 8 by 10.

### 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.

### 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 edge length of the ...

### geometry

a closed box of uniform thickness is made of wood 1cm thick. Its extenal dimensions are 6cm and 5 cm by 4 cm. Find the a. volume of the wood used in making the box. b. the capacity of the box, given that the cover is full length and full width c. The interior surface area if ...

### Math

A box that holds an expensive pen has square ends, and its length is 13 cm longer than its width. The volume of the box is 60 cm^3. Determine the dimensions of the box.

### math

To find the volume of a box, you can multiply its height, length, and width. The measure of the volume of a box is 357. Find its possible dimensions.

### Math

2.)The volume of a box can be found by multiplying the length times width times height of a box(V=lwh).If the volume of a box is 1,300 cubic inches, & all its its dimensions are equal, what is the side length of the box in inches? A.)10.9 B.)36.1 C.)162.5 D.)433.3

### Calculus

1. Chris makes an open-topped box from a 30-cm by 30-cm piece of cardboard by cutting out equal squares from the corners and folding up the flaps to make the sides. What are the dimensions of each square to the nearest hundredth of a centimetre, so that the volume of the ...

### Math

a rectangular box is 2 cm high, 4cm wide and 6 cm deep. Michelle packs the box with cubes, each 2 cm by 2cm by 2cm, with no space left over. How many cubes does she fit in the box?

### calculus

a. A closed cylindrical can is to hold 1000cm^3 of liquid. How should we choose the height and radius of this can to minimize the amount of material need to manufacture the can? b.a manufacturer wants to design a open box having a square base and surface of 108cm^2. What ...

### 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.

### Calculus I Quick Optimization Problem

Could you please explain this problem step by step, thank you! You are planning to make an open rectangular box that will hold a volume of 50 cubed feet. What are the dimensions of the box with minimum surface area?

### calculus

a closed rectangular box whose base is twice as long as it is wide has a volume of 36000 cm^3.the material for the top cost 10 centavo per sq cm,that for the sides and bottom cost 5 centavos per sq cm.find the dimensions that will make the cost of making the box a minimum

### math

A Jewlery box has length of 3 and a half, a width if 1 and a half, and a height of 2 units. What is the volume if the box I cubic units? Each of the cubes in this activity has a side length of 1/2. How many cubes with side length 1/2 does it take to form a unit cube? How many ...

### math

A company is designing a juice box. The box is in the shape of a rectangular prism. The base of the box is 6 1/2 inches by 2 1/2 inches, and th box is 4 inches high. If juice fills 90% of the box's volume, find the volume of juice in the box. Thank you!

### Math

The volume of the box is the number of cubes it would take to fill it up. If each is a centimeter on the edges, the volume would be given in cubic centimeters. what is the volume of the 4 cm x 4 cm x6 cm box?

### geometry

a rectangular box is to be constructed with its length four times the size of its width, and its height one half the size of its length. the volume of the box must be 1000 cubic centimeters. find the dimensions of the box

### math

The length of a rectangular piece of cardboard is three more than twice the width. A square 2 cm on a side is cut out of each corner. The sides are folded up to form an open box. if the volume of the box is 120cm^3, what were the original dimensions of the cardboard.

### Calculus Word Problem

A farmer wishes to build a fence for 6 adjacent rectangular pens. If there is 600 feet of fencing available, what are the dimensions of each pen that maximizes total pen area? The image looks like this: box box box box box box also: If the interior fencing is $3.00 per foot ...

### calculus

An open rectangular box having a volume of 256 is to be constructed from a tin sheet. Find the dimensions of such a box if the amount of material used in its construction is to be minimal. Hint: Let the dimensions of the box be x by y by z . Then, xyz=256 and the amount of ...

### Math Pre-Calc 12

A box has a Square base. The Perimeter of the base plus the height is 120cm. What is the max volume of this box, and what are the dimensions of the this maximized box.

### 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 original piece of ...

### 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 useable area of the ...

### math

a piece of cardboard is twice as it is wide. It is to be made into a box with an open top by cutting 2-in squares from each corner and folding up the sides. Let x represent the width (in inches) of the original piece of cardboard. a.Represent the length of the original piece ...

### Math

A jewelry box is designed such that its length is twice its width and its depth is 2 inches less than its width. The volume of the box is 64 cubic inches. Use synthetic division to find the roots of the polynomial equation. Are the roots all rational numbers? Ans: Yes, the ...

### math

Krispy Kritters Cereal used to come in a box with a volume of 2,850 cm. However, The Krispy Kritters Co designed a new larger box, 22.5cm wide, 6.2cm deep, and 30cm high. How many more cubic centimeters will the new box hold than the old box?

### math

find the volume of iron required to make an open box whose ,external dimensions are 36 cm *25 cm *16.5 cm, the box being 1.5 cm thick throughout . if 1 cm ^3 of iron weights 8.5 grams , find the weight of the empty box in kilogramsfind the volume of iron required to make an ...

### Pre Cal 12

A 12cm by 8cm rectangular piece of metal is to be made into an open-top box by cutting a sqaure from corner and folding up the resulting flaps (sides). If the volume of the lidless box is 36 cm what are the integer dimensions of the box?

### Maths - Algebra

Boxes are made by cutting 8cm squares from the corners of sheets of cardboard and then folding. The sheets of cardboard are 6cm lnbger than they are wide. width of sheet= x length of sheet = x+6 length of finished box = (x-10) width of finished box = (x-16) volume of the box...

### math

The volume of a ball is 36 pi cm^3. Find the dimensions of a rectangular box that is large enough to hold the ball.

### optimal dimensions

Applications of derivatives You are planning to make an open rectangular box from an 8 by 15 inch piece of cardboard by cutting congruent squares from the corners and folding up the sides. what are the dimensions of the box of largest volume you can make this way, and what is ...

### calculus

A rectangular box is to be constructed from two different materials. The box will have a square base and open top. The material for the bottom costs $4.25/m2. The material for the sides costs $2.50/m2. Find the dimensions of the box with the largest volume if the budget is $...

### Calculus

An open top box is made by cutting congruent squares from the corners of a 12 inch by 9 inch sheet of cardboard and then folding the sides up to create the box. What are the dimensions of the box which contains the largest volume?

### Urgent 1 Math question

Elaine has a customer who needs a box with a volume of 12 cubic inches. Th e customer wants to know what size box is the least expensive to buy. • Th e price will be based on surface area. Th e supplier charges _ 21_ cent per square inch. • Th e dimensions of the box are ...

### math

a woman wants to construct a box whose base length is twice the base width. The material to build the top and bottom is $ 9/m ( squared) and the material to build the sides is $6m/ ( squared). If the woman wants the box to have a volume of 70 m cubed, determine the dimensions ...

### calc

If an open box has a square base and a volume of 91 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction.

### Calculus

A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box that minimize the amount of material used.

### math

a company is designing a juice box. the box is in the shape of a rectangular prism. the base of the box is 8 1/2 inches by 4 1/2 inches, and the box is 4 inches high. if the juice fills 80% of the boxes volume, find the volume of juice in the box.

### Math

An open box with a square base is to bemade to organize items in the trunk of a car. It is planned to use an area of 16m square of flexible plastic forthis box. What are the dimensions of the box for max volume?

### math

The volume of a box is the number of cubes it would take to fill it up. If each cube is a centimeter on the edges, the volume would be given in cubic centimeters. What is the volume of the 4cm x 4cm x 6cm box to the right?

### math

The volume of a ball is 288 pi cm^3. Find the dimensions of a rectangular box that is just large enough to hold the ball.

### math

It takes 125 identical wooden cubes to fill a cubical box. How many of these cubes does it take to cover the bottom of the box? Could someone explain this one to me?

### 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: V(X)=x(14-2x)(24-2x). Determine ...

### Calculus

An open top box with a square base is to have a volume of exactly 500 cubic inches. Find the dimensions of the box that can be made with the smallest amount of materials.

### calculus

A box of rectangular base and an open top has a surface area 600 cm2. If the height of the box is equal to its width, find the dimensions that give a maximum volume.

### math

A box with an open top has vertical sides, a square bottom, and a volume of 256 cubic meters. If the box has the least possible surface area, find its dimensions.

### 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 domain of the volume ...

### math

A rectangular box is 16cm long and 10cm wide 960 1-cm cubes can fit into the box exactly what is the height of the box?

### math

You cut square corners from a piece of cardboard that has dimensions 32 cm by 40 cm. You then fold the cardboard to create a box with no lid. To the nearest centimeter, what are the dimensions of the box that will have the greatest volume?

### Pre-calc

A cardboard box with an open top and a square bottom is to have a volume of 45 ft3 . Use a table utility to determine the dimensions of the box to the nearest 0.1 foot that will minimize the amount of cardboard used to construct the box.

### math

A toy baseball bat comes with 3 plastic balls in a box that is a rectangular solid. The box is just big enough to hold the 3 balls. The radius of the balls is 1.9 in. What is the volume of the air in the box surrounding the balls?

### math

The volume of a ball is 288 pi cm^3. Find the dimensions of a rectangular box that is just large enough to hold the ball. Use 3.14 for pie

### math

The volume of a ball is 288 pi cm^3. Find the dimensions of a rectangular box that is just large enough to hold the ball. use 3.14 for pie

### math

The volume of a ball is 288 pi cm^3. Find the dimensions of a rectangular box that is just large enough to hold the ball. use 3.14 for pie

### math

The areas of the faces of a rectangular box are 48 m2, 96 m2, and 288 m2. A second box is cubical and each of its faces has area 16 m2. Find the ratio of the volume of the first box to the volume of the second box. A) 18 : 1 B) 12 : 1 C) 324 : 1 D) 16 : 1

### Math

The areas of the faces of a rectangle box are 48 m2, 96 m2, and 288 m2. A second box is cubical and each of its faces has area 16m2. Find the ratio of the volume of the first box to the volume of the second box.

### math

You are going to build a glass box. The length of the box is 8 inches more than the width and the height is half the length. The length of the wire to make the frame is 108 inches. 1.What are the dimensions of the box? 2.All six faces of the box will be panes of glass. What is...

### math

An open box is made from a rectangular piece of cardboard, with dimensions of 24 cm by 30 cm, by cutting congruent squares from each corner and folding up the sides. Determine the dimensions of the squares to be cut to create a box with a volume of 1040 cm ^3

### math

The length of an open-top box is 4 cm longer than its width. The box was made from a 480-cm^2 rectangular sheet of material with 6cm by 6cm squares cut from each corner. The height of the box is 6cm. Find the dimensions of the box. Please show me in detail how to set this up ...

### math

The areas of the faces of a rectangular box are 48 m2, 96 m2, and 288 m2. A second box is cubical and each of its faces has area 16 m2. Find the ratio of the volume of the first box to the volume of the second box.

### MATH

A box with an open top has vertical sides, a square bottom, and a volume of 4 cubic meters. If the box has the least possible surface area, find its dimensions. Length of base= Height=

### Calculus

You are given a piece of sheet metal that is twice as long as it is wide an has an area of 800m^2. Find the dimensions of the rectangular box that would contain a max volume if it were constructed from this piece of metal by cutting out squares of equal area at all four ...

### 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 wide. How should the ...

### 5th grade math

how many boxes con you find that will hold two times as many cubes as a 2 by 3 by 4 box.

### geometry

a rectangular box has dimensions 9cm by 6 cm by 24 cm. a second rectangular box has volume one-half of the first and has a base 6 cm by 4 cm.what is the height of the second box

### Calculus - dimensions of a box?

A rectangular box with a square bottom and a volume of 256 cubic feet is to be constructed. The top and bottom cost $ .10 per square foot to make and the four sides cost $ .05 per square foot to make. Find the approximate dimensions of the box which would minimize its cost.

### algebra

a cardboard box which has a volume of 60 cubic inches and has the dimensions of (x-1) (x-6) (x-2) what is the lenght, width and height of the box

### math againnn

A rectangle prism is measured 84cm (L)X 42cm (w) X 56cm (H). What is the largest size cube that fits the dimensions of the prism? What number of cubes is required? i don't even know how to start it T_T The question is poorly worded Interpretation #1 The largest cube to fit ...

### math

An open-topped box is made from a rectangular piece of cardboard, with dimensions of 24 cm by 30 cm, by cutting congruent squares from each corner and folding up the sides. Determine the dimensions of the squares to be cut to create a box with a volume of 1040cm^3. What ...

### math

An open topped box can be created by cutting congruent squares from each of the 4 corners of a piece of cardboard that has dimensions of 20cm by 30cm and folding up the sides. Determine the dimensions of the squares that must be cut to create a box with a volume of 1008cm^3

### 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.