Constructing a crate The frame for a shipping crate is to be constructed from 24 feet of 2 ×2 lumber. Assuming the crate is to have square ends of length x feet, determine the value(s) of x that result(s) in a volume of 4 ft3. (See Exercise.)
Constructing a crate The frame for a shipping crate is to be constructed from 24 feet of 2 ×2 lumber (see the figure).
(a) If the crate is to have square ends of side x feet, express the outer volume V of the crate as a function of x (disregard the thickness of the lumber).
(b) Sketch the graph of V for x > 0.
EXERCISE
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