Question

Constructing an Open Box An open box with a square base
is to be made from a square piece of cardboard 24 inches on
a side by cutting out a square from each corner and turning
up the sides. See the figure.(a) Express the volume V of the box as a function of
the length x of the side of the square cut from each
corner.
(b) What is the volume if a 3-inch square is cut out?
(c) What is the volume if a 10-inch square is cut out?

24 in.
-24 in.

Image Transcription

24 in. -24 in.

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Math
Calculus

Functions

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