An open box is constructed from a square 10-inch piece of cardboard by cutting squares of length x inches out of each corner and folding the sides up. Express the volume of the box as a function of x, and state the domain.

Question

Carley Solomon

Mathematics

29 December, 14:24

An open box is constructed from a square 10-inch piece of cardboard by cutting squares of length x inches out of each corner and folding the sides up. Express the volume of the box as a function of x, and state the domain.

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Answers (1)

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Easton Webster · Answer 1

Answer: V = 8x^3-80x^3 + 200x

Domain 0
Step-by-step explanation:

Dimension of cardboard = 10 by 10

Let the length of box = 10-2x

Let the width of box = 10 - 2x

Let the height of box be = x

Volume = l*w*h

V = (10-2x) * (10-2x) * x

V = 100 - 40x + 42 * x

V = 8x^3 - 80x^2 + 200x