Alexandra needs to cut the square pyramid out of cardboard. How much cubic space does she have?
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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 cutout square so that

PreAlegebra
3. If a number is not a rational number, then it is _____. (1 point) an integer an irrational number a whole number a radical*** 4.Mrs. Clarkson designed a rectangular garden with a length of 15 meters and a width of 8 meters. She plans to build a walkway

Math HELP!!
Chuck needs to cut a piece of cardboard for an art project at school. He has four pieces of cardboard that he can cut from: 6 inches, 5 inches, 7 inches, and 3 inches. If the length of the cardboard he needs is √35 inches, which piece of cardboard should

Mathematics
Four congruent square corners are cut off from the large square of cardboard. Find three expression in terms of x and y to calculate shaded area.

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

Algebra
You have to make a squarebottomed, unlidded box with a height of three inches and a volume of approximately 42 cubic inches. You will be taking a piece of cardboard, cutting threeinch squares from each corner, scoring between the corners, and folding up

MATH HELP
3. If a number is not a rational number, then it is _____. (1 point) an integer an irrational number a whole number a radical*** 4.Mrs. Clarkson designed a rectangular garden with a length of 15 meters and a width of 8 meters. She plans to build a walkway

Math ASAP
Starting at the top, if you cut a square pyramid in half using a single cut, what is the shape of the newlyexposed section? A.) square B.) rectangle C.) triangle D.) pentagon

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

geometry
Find the volume of a pyramid with a square base, where the side length of the base is 18.5 in and the height of the pyramid is 10.9. Round your answer to the nearest tenth of a cubic inch.

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

Math
A cardboard manufacturer wishes to make open boxes from square pieces of cardboard of side 12 in. by cutting equal squares from the four corners and turning up the sides. Let x inches be the length of the side of the the square to be cut out. Express the

Math
3. If a number is not a rational number, then it is _____. (1 point) an integer an irrational number**** A whole number a radical 4.Mrs. Clarkson designed a rectangular garden with a length of 15 meters and a width of 8 meters. She plans to build a walkway

geometry
The limestone blocks from which an ancient pyramid was made weigh about 2 tons per cubic yard. Find the approximate weight of the pyramid having a square base of length 250 yards and a height of 150 yards.

math
The volume of a pyramid varies jointly with the base area of the pyramid and its height. The volume of one pyramid is 24 cubic inches when its base area is 24 square inches and its height is 3 inches. What is the volume of a pyramid with a base area of 15

Maths
A square based pyramid, with a perpendicular height of 15cm I'd placed on a table. The weight of the pyramid is 70.56N. The pyramid exerts a pressure of 4900N/m^2 on the table. Work out the volume of the square based pyramid. Thank you so much.

Algebra
A rectangular piece of cardboard is 15 inches longer than it is wide. If 5 inches are cut from each corner, and the remaining fold up to form a box,the volume of the box is 1250 cubic inches. Find the dimensions of the piece of cardboard.

math
a rectangular cardboard, 15 cm by 50 cm is cut into smaller squares. What is the least number of such square pieces?

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 cutout square so that

algebra
I have a piece of cardboard that is twice as long as it is wide .I f I cut a 1inch by 1inch square from each corner and fold up the resulting flaps ,I get a box with a volume of 40 cubic inches.what are the dimensions of the cardboard?

geometry
12. Find the volume of the cylinder in terms of pi. The diagrams are not drawn to scale. h=8 in. and r=4 in. ~256 pi in.3 ~128 pi in.3 ***** ~64 pi in.3 ~32 pi in.3 14. What is the volume of the composite space figure to the nearest whole number? The

math calculus
. Folding a Pyramid  A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

math
a box is to be made by cutting out the corners of a square piece of cardboard and folding the edges up. if 3inch squares are to be cut out of the corners and the box contains 243 cubic inches, what is the length of a side of the original cardboard square

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

math
a square pyramid is cut perpendicular to its base and through the vertex.What twodimensional figure is formed by the cross section ? a)parallellogram b)rectangle c)square d)triangle

algebra
A rectangular piece of cardboard is 2 units longer than it is wide? From each of its corner a square piece 2 units on a side is cut out.The flaps are then turned up to form an open box that has a volume of 70 cubic units.Find the length and width of the

calculus max area
Maximize volume of a pyramid cut from peice of paper. (Problem) A pyramid consists of 4 isosceles triangles around a square base. If this is to be cut and folded out of a single square piece of paper, Maximize the volume. I am not sure where to begin here.

Math 10C
Janet needs a rectangular piece of cardboard measuring 21 ft by 24 ft for a school project. a) What is the area of the cardboard in square feet? b) What is the area of the cardboard in square yards? Show your calculations in two different ways. c) The

Math
A store manager set up a cardboard display to advertise a new brand of perfume. The display is a square pyramid whose base is 18 inches on each side. The height of each triangular face of a puramid is 12 inches. How much cardboard was used to make the

Math
The volume of a rectangular pyramid is 4,000 cubic feet. The area of the base is 40 square feet. What is the height of the pyramid?

Geometry
1 How many faces does a square pyramid have? 2 How many edges does a square pyramid have? 3 How many vertices does a square pyramid have? answer? 8, 5, 10 Viualize one of the great pyramids of Egypt. It's base is a square and it has four sides. So the

Algebra
Please help as soon as you can! Madelyn had a square piece of cardboard that 10 inches in length. She cut one 3inch square from each corner, as shown below. Please show your work!

math
Ira built a model of the Great Pyramid in Egypt for a school project. The Great Pyramid has a square base with sides of length 756 feet. The height of the Great Pyramid is 481 feet. Ira made his model pyramid using a scale of 1 inch:10 feet. A)What is the

Math
A right square pyramid’s base has edges measuring 20 feet each. If the pyramid’s height is 27 feet, what is its volume, in cubic feet?* *Could you include an explanation as well?

Math
Suppose you take a piece of cardboard measuring 7 inches by 7 inches, cut out square corners with sides x inches long, and then fold up the cardboard to make an open box. Express the volume V of the box as a function of x.

Math
Ira built a model of the great pyramid in Egypt for a school project. The great pyramid had a square base with sides of length 756feet the height of the great pyramid is 481 feet Ira made his model pyramid using a scale of 1 inch :20 feet A.what is the

Maths
OPQRS is a right pyramid whose base is a square of sides 12cm each. Given that the slant height of the pyramid is 15cm. Find the height of the pyramid. The volume of the pyramid and the total surface of the pyramid.

math
Enter your answer and show all the steps that you use to solve this problem in the space provided. A pyramid on its side is shown with its height measuring 22 m and its base measuring 8 m. Find the lateral area of the square pyramid.

Math
An opentopped 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

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 opentopped box. Determine the dimensions of the cutout squares that will produce the box of maximum volume.

math calculus
. Folding a Pyramid  A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

Math
a rectangular piece of cardboard is twice as long as it is wide . from each of its for corners, a square piece 3 inches on a side cut out. the flaps at each corner are then turned up to form an open box. if the volume of the box is 168 cubic inches, what

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

GRADE 12 APPLIED MATH
The Problem You are given a piece of cardboard that is 6 inches by 4 inches. You would like to cut equalsized squares out of each of the 4 corners and fold the cardboard in such a way to make an opentop rectangular box. Part A: Complete the table below:

geometry
A rectangle with a width of 9 ft. and a length of 13 ft. is the base of a 30 ft. tall pyramid. What is the volume of the pyramid? 117 cubic feet 1,170 cubic feet 390 cubic feet 3,510 cubic feet

math
A cardboard box is open at one end and is shaped like a square prism missing one of its square bases. The volume of the prism is 810 cubic inches, and its height is 10 inches. A)What is the length of each side of the base? B)Draw a net of the box C)How

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

Math
Post a New QuestionCurrent Questions Homework Help: Math Posted by Anonymous on Wednesday, November 11, 2015 at 7:08pm. 3. If a number is not a rational number, then it is _____. (1 point) an integer an irrational number**** A whole number a radical 4.Mrs.

Algebra
You cut square corners with side lengths that are whole numbers from a piece of cardboard with dimensions 20 inches by 30 inches. You then fold the cardboard to create a box with no lid. Which of the following dimensions will give you the greatest volume?

Maths
OPQRS is a right pyramid whose base is a square of sides 12cm each. Given that the slant height of the pyramid is 15cm. Find the height of the pyramid. The volume of the pyramid and the total surface of the pyramid.

math
Alexandra needs to cut the square pyramid out of cardboard. How much cubic space does she have?

math calculus
. Folding a Pyramid  A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

math calculus
. Folding a Pyramid  A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

math calculus
. Folding a Pyramid  A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

math calculus
. Folding a Pyramid  A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

math calculus
. Folding a Pyramid  A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

math calculus
. Folding a Pyramid  A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

math calculus
. Folding a Pyramid  A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

math calculus
. Folding a Pyramid  A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

math calculus
. Folding a Pyramid  A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

math calculus
. Folding a Pyramid  A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

math calculus
. Folding a Pyramid  A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

math calculus
. Folding a Pyramid  A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

math calculus
. Folding a Pyramid  A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

math calculus
. Folding a Pyramid  A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

math calculus
. Folding a Pyramid  A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

Calculus
Pyramid  A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid. The diagonal

math
A store manager set up a cardboard display to advertise a new brand of perfume. The display is a square pyramid whose base is 18 inches on each side. The height of each triangular face of the pyramid is 12 inches. How much cardboard was used to make the

Math
Lesson 8: Geometric Constructions Madelyn had a square piece of cardboard that was 10 inches in length. She cut one 3inch square from each corner. The shaded part represents the remaining cardboard. Show your work!

math
2 planes parallel to the base of a pyramid cut the pyramid at 1/4 and 2/3 of the height as measured from the base up. If the volume of the pyramid is 100 cubic inches, what is the volume of the middle piece to the nearest tenth?

Math
Find the area of cardboard wasted if a sector of maximum possible side is cut out from a square cardboard of size 24cm.

math
a tray with a square base is to be made from a square piece of cardboard by cutting 5 inch squares from each corner and folding up the sides. If the box is to hold a volume 520 cubic inches, find the length of the piece of cardboard that is needed.

Math
a tray with a square base is to be made from a square piece of cardboard by cutting 5 inch squares from each corner and folding up the sides. If the box is to hold a volume 520 cubic inches, find the length of the piece of cardboard that is needed.

English  To Kill A Mockingbird
Hi My earlier question needed some clarification. I'm writing a monologue on a marginilised To Kill A Mockingbird character, I am doing Aunt Alexandra. During my monolouge I made two statements from Aunt Alexandra's pov. The first is that Aunt Alexandra

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\:lon

Math
Circular discs of radius 3.5cm are to be cut from a rectangular sheet of cardboard measuring 50cm by 30cm. once the disc are cut out, the remaining parts of the sheet are waste. A. how many disc can be cut from one sheet of cardboard? B. If % waste =

algebra
rectangular opentopped box is made from a 9 x 16 piece of cardboard by cutting xinch squares out of each corner and folding up the sides. What size square should be cut out to produce a volume of 120 cubic inches?? I set it up with 120 = (162x)(92x)(x)

geometry thank you last one
A square pyramid and a rectangular pyramid have the same height. The base area of the square pyramid is half the base are of the rectangular pyramid. Compare their volumes. I think that the volume of the square pyramid is 1/2 the volume of the rectangular

Mathematics
OPQRS is a right pyramid whose base is a square of sides 12cm each. Given that the slant height of the pyramid is 15cm. Find the height of the pyramid, the volume of the pyramid, and the total surface area of the pyramid by first drawing the net of the

Geometry help
27. Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 12 feet by 12 feet by 9 inches for a patio if the concrete costs $54.00 per cubic yard? (1 point) $1,944.00 $972.00 $552.00 $216.00 28. Two square pyramids have the same

Math
Starting at the top, if you cut a square pyramid in half using a single cut, what is the shape of the newlyexposed section?

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?

Math
The volume of a pyramid varies jointly with the base area of the pyramid and its height. The volume of one pyramid is 24 cubic inches when its base area is 24 square inches and its height is 3 inches. What is the volume of a pyramid with a base area of 10

math
Ira built a model of the Great Pyramid in Egypt for a school project. The Great Pyramid has a square base with sides of length 756 feet. The height of the Great Pyramid is 481 feet. Ira made his model pyramid using a scale of 1 inch:10 feet. A)What is the

Math
Suppose you take a piece of cardboard measuring 7 inches by 7 inches, cut out square corners with sides x inches long, and then fold up the cardboard to make an open box. Express the volume V of the box as a function of x.

Math Homework
1) Given the side of a square pyramid is 6cm and the altitude is 4cm calculate the surface area. 2) Given the side of a square pyramid is 12cm and the altitude is 8cm calculate the surface area. 3) Given the side of a square pyramid is 18cm and the

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.

Maths
How much air space is contained inside a rectangular cardboard box that has the dimensions 85 cm by 62 cm by 36 cm. Answer using cubic metres correct to two decimal places.

math
How much air space is contained inside a rectangular cardboard box that has the dimensions 85 cm by 62 cm by 36 cm. Answer using cubic metres (m^3), correct to two decimal places.

Geometry
Two similar pyramids have lateral areas f 20 square feet and 45 sqaure feet. The vloume of the smaller pyramid is 8 cubic feet. Find the volume of the larger pyramid. 33ft^3 27ft^3 18ft^3 12ft^3 Can some explain how to solve this.

Math
Alex wants to cut out as many circular badges as possible from a rectangular sheet of cardboard(100cm by 60cm). The diameter of each badge is 14 centimeters. Use 22 an approximation for pi. a) How many badges can Alex cut? b) What is the area of the

Math
Square with sides of length are cut out of each corner of a rectangle Mylar piece of cardboard measuring 13ft by 8ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the box. B. Supposed that in part a the

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

MNHS_HELP
What is the least number of square pieces into which a cardboard, 13 ft long 8 ft wide, can be cut?

MATHS
Donna wants to cut out circular discs of radius 7cm from a cardboard measuring 50cm by 70cm. What is the maximum number of circular discs that can be cut out from the cardboard?

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 opentopped box. Determine the dimensions of the cutout squares that will produce the box of maximum volume.

Calc
A cardboard box manufacturer makes open boxes from rectangular pieces of cardboard of size 30cm by 40cm by cutting squares from the four corners and turning up the sides. A) find a mathematical model expressing the volume of the box as a function of the

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?

Math
A cone and a square based pyramid have slant heights of 6 inches . The diameter for the cone and the base edge of the pyramid are both 8 inches. How would I find which space figure has the greater surface area

MATH
E LARGEST PYRAMID IN THE U.S. IS THE LUXUR HOTEL IN VEGAS. THE VOLUME OF THIS HOTEL IS 28,933,800 OR ABOUT 29 MILLION CUBIC FEET. THE HEIGHT OF THE PYRAMID IS 148 FEET LESS THAN THE LENGTH OF THE BUILDING. THE BASE OF THE BUILDING IS SQUARE. FIND THE