3. A box with an open top is to be constructed from a 10 inch by 16 inch piece ofcardboard by cutting squares of equal sides length from the corners and folding up thesides. Find the dimensions of the box of largest volume that can be constructed.

To find the dimensions of the box.

Answered: 3. A box with an open top is to be…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 20CR: If the radius length of one sphere is three times as long as the radius length of another sphere,...

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Similar questions

When the length of each edge of a cube is increased by 1 cm, the volume is increase by 61 cm3. What is the length of each edge of the original cube?
Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?
When the rectangle in the accompanying drawing whose dimensions are 16 by 9 is cut into pieces and rearranged, a square can be formed. What is the perimeter of this square?
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The numerical value of the volume of a cube equals the numerical value of its total surface area. What is the length of each edge of the cube?
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3. A box with an open top is to be constructed from a 10 inch by 16 inch piece of cardboard by cutting squares of equal sides length from the corners and folding up the sides. Find the dimensions of the box of largest volume that can be constructed.