Given the limited material for the box, if the gadget is 7 in high, what should be its volume? Can you  possibly create the box with the given dimensions? Justify your answer.

Q: The upper base of a frustum of a pyramid is 3m x 4m while the lower base is 6m x 8m. If the volume…

A: Pyramid

Q: if 900 square centimeters of material is available to make a box with a square base and an open top,…

A:

Q: The volume of a sphere is 2,240 yards ^3. What will be the new volume if the dimensions are…

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Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: The sum of its length and girth (the distance around) does not exceed 96 in.  What dimensions will…

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Q: box with no top is to be constructed from a piece of cardboard whose length measures 6 in. more than…

A: First considered length and width and use volume formula of rectangular box

Q: A square pyramid and a triangular pyramid each have a base that measures 36 square inches. The…

A: Given  There is a square and triangular pyramid both have 36 square inches area of base and volume…

Q: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

A: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

Q: A box with no top is to be constructed from a piece of cardboard whose length measures 13in. more…

A: Let x inches be the width of the cardboard, then the length is (x + 13) inches, because length is 13…

Q: If 1,200 cm2 of material is available to make a box with a square base and an open top, find the…

A: An open top square base box has area 1200 cm2.

Q: A pencil cup with a capacity of 36 in.3 is to be constructed in the shape of a rectangular box with…

A:

Q: A square pyramid and a triangular pyramid each have a base that measures 36 square inches. The…

A: The Volume of a Square Pyramid Formula is =  13×A1×h1      (A1 = Area of base of square pyramid, h1…

Q: Consider the following problem: A farmer with 850 ft of fencing wants to enclose a rectangular area…

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: If a cube has edges that are each three times as long as a second cube, then its volume will be 27…

A:

Q: The lengths of the legs of a right triangle are 4 cm and 6 cm. If the triangle is rotated about one…

A: Given data is : The lengths of the legs of a right triangle are 4 cm and 6 cm To find the greatest…

Q: If the diameter of the base remains constant, by what factor should the altitude be multiplied to…

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Q: If 1,200 cm^2 of material is available to make a box with a square base and open top, find the…

A: Given surface area of open box=1200cm^2 Now we have to find the largest possible volume As shown…

Q: The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular and will…

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Q: If 900 square centimeters of material is available to make a box with a square base and an open top,…

A: Surface of a box which is open from the top.It is the the sum of the a2 and 4 rectangles . Let base…

Q: What are the dimensions for the cheapest possible rectangular box with a volume of 56 cm if the…

A: Consider the provided question, Let length of the box = l cm Width of the box = w cm And, height of…

Q: Suppose that the base of the square pyramid below has an area of 12 cm2 and that the altitude of the…

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Q: A cylinder has a height of 12 in. and a radius of 4 in. How can you change the radius of the…

A: Given the height of a cylinder h=12inch and radius of the cylinder r=4inch We need to find the…

Q: A container with square base, vertical sides, and open top, is to be made from 3,000 ft² material.…

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Q: A circus tent is made in the shape of an octagonal prism and octagonal pyramid. If the side of the…

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Q: Suppose that the volume of an aluminum can is to be 97 in. Find the dimensions of the can if the…

A: given: the volume of an aluminium can is 9π in3. we have to find the dimensions of the can if the…

Q: In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If…

A: Given that, the sum of the external and internal radii is 14 cm and the width is 4 cm. The height of…

Q: If you double the length of the radius of a sphere from its original length, what effect does that…

A: Given that: Length of radius of a sphere is doubled.

Q: A snack food company has decided to package its new brand of crackers in a box shaped like a…

A: The volume of the box is 108 3/4 cubic inches. Volume=108 34 in3=108.75 in3Width=714 in=7.25…

Q: If 1,200 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: 4. The length of a rectangular box is 3 ft more than its width and the height is 5 ft more than its…

A: Consider a rectangular box with length l, width w and height h. Then the volume of this rectangular…

Q: A pencil cup with a capacity of 48 in.3 is to be constructed in the shape of a rectangular box with…

A:

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: Suppose you wanted a flat that would hold 9,000 cubic centimeters of strawberries. What would be the…

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Q: If 10,800 cm2 of material is available to make a box with a square base and an open top, find the…

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Q: If 8, 664 cm² of material is available to make a box with a square base (and a closed top), find the…

A: Given data- Surface area of box=8,664 cm2. we have to make a box with a square base and a closed…

Q: If the long edge of the rectangular block A is 17 times longer than the long edge of block B, and…

A:

Q: A cylindrical soup can has a height of 8 in. and a radius of 3in.  If the height is doubled on a…

A: We can make it easier for you

Q: A box with square ends of side x and a length L is to be made such that L+4x = 4 meters. The…

A:

Q: A box with no top is to be constructed from a piece of cardboard whose length measures 10in. more…

A:

Q: What happens to the volume of a box if the dimensions of the base are doubled?

A: In other words, volume of the box = Area of the base * Height of the box  ...(1) If dimensions of…

Q: If 4,800 cm2 of material is available to make a box with a square base and an open top, find the…

A: Introduction: - The derivative formula is one of every of the foremost fundamental notions in…

Q: A company wants to come up with a package box that has a square base a volume of 125 ft?. What…

A:

Q: Find the dimensions of a rectangle with area 1728 m whose perimeter is as small as possible. (I both

A: Length of rectangle = 24√3 m  Width = 24√3 m

Q: Suppose you have a rectangular pyramid with a base length of 4.5 in, a width of 7 in, and a pyramid…

A: Base length of pyramid:= 4.5 in Width of pyramid:= 7 in Height of pyramid:= 16 in   Now:          If…

Q: A square pyramid and a triangular pyramid each have a base that measures 36 square inches. The…

A: To find the relation between heights of pyramids

Q: 3. If find the largest possible volume for the box. 1200cm of material is available to make a box…

A: We can find the answer as below.

Q: Suppose you ask a jeweller to form a gold in the shape of a sphere whose volume is * cm³. But you…

A: Intial volume of gold = 4π/3.

Q: If 1200cm2 of material is available to make a box with a square base and an open top, find the…

A: We have considered each side of the square base is x cm and the height of the box is h cm.

Q: Consider the following problem: a farmer with 750 feet of fencing wants to enclose a rectangular…

A: Solution Given A farmer with 750 feet fencing wants to enclosed  a rectangular area and then divide…