# Emerson is making a box without a top from a rectangular piece of cardboard, with dimensions 12in by 16in, by cutting out square corners with side length x in. A) Write an equation for the volume V of the box in terms of x. B) Use technology to estimate the value of x that gives the greatest volume. Round the value to the nearest tenth. C) Assume Emerson used the value of d you found in Part (b) to make his box. What were the dimensions of Emerson’s box?

###### Question:

Emerson is making a box without a top from a rectangular piece of cardboard, with dimensions 12in by 16in, by cutting out square corners with side length x in.
A) Write an equation for the volume V of the box in terms of x.
B) Use technology to estimate the value of x that gives the greatest volume. Round the value to the nearest tenth.
C) Assume Emerson used the value of d you found in Part (b) to make his box. What were the dimensions of Emerson’s box?

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