A box with a square base and open top must have a volume of 1 1 9 1 6 4 cm 3 We wish to find the dimensions of the box that minimize the amount of material used First, find a formula for the surface area of the box in terms of only x , the length of one side of the square base Hint use the volume formula to express the height of the box in terms of x A ( x ) Now, calculate when the function A ( x ) has a minimum The length of the side of the square bottom is Select an answer cm 3 cm cm 2 The minimum amount of material needed is Select an answer cm cm 2 cm 3

Question

A box with a square base and open top must have a volume of 1 1 9 1 6 4 cm 3   We wish to find the dimensions of the box that minimize the amount of material used  First, find a formula for the surface area of the box in terms of only x , the length of one side of the square base    Hint  use the volume formula to express the height of the box in terms of x     A ( x )   Now, calculate when the function A ( x ) has a minimum  The length of the side of the square bottom is Select an answer cm   3 cm cm   2 The minimum amount of material needed is Select an answer cm cm   2 cm   3

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A box with a square base and open top must have a volume of 1 1 9 1 6 4 cm 3 . We wish

Step by Step Solution

1 Understanding Responsive Design Principles

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