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Single Variable Calculus

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Maximize the Volume of a Box

SVCALC-6JELYD

A shipping box with a square base cannot have the sum of its dimensions exceed $150$ inches.

What is the maximum volume of such a box?

A

$2500$ in$^3$

B

$22500$ in$^3$

C

$225000$ in$^3$

D

$3375000$ in$^3$