An open-faced box is to be constructed by cutting squares out of the corners of a 12in by 12in sheet of tin and folding up the sides. Which of the following describes the volume of such a box?

a. The volume of the box is given by ℎ(12-2ℎ)2³, where ℎ is the side length of the cut out squares.
b. The volume of the box is given by ℎ2(12-2ℎ)³, where ℎ is the side length of the cut out squares.
c. The volume of the box is given by (12-2ℎ)3³, where ℎ is the side length of the cut out squares.
d. The volume of the box is given by ℎ³³, where ℎ is the side length of the cut out squares.

Question

11-06-2024
Physics

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An open-faced box is to be constructed by cutting squares out of the corners of a 12in by 12in sheet of tin and folding up the sides. Which of the following describes the volume of such a box?

a. The volume of the box is given by ℎ(12-2ℎ)2³, where ℎ is the side length of the cut out squares.
b. The volume of the box is given by ℎ2(12-2ℎ)³, where ℎ is the side length of the cut out squares.
c. The volume of the box is given by (12-2ℎ)3³, where ℎ is the side length of the cut out squares.
d. The volume of the box is given by ℎ³³, where ℎ is the side length of the cut out squares.

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