Solve the Problem $50 \mathrm { in }$ , Square Corners Are Cut Out So That the Sides

question 107

Multiple Choice

Solve the problem.
-From a thin piece of cardboard 50 in. by $50 \mathrm { in }$ ., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary.

• A) \(16.7\) in. \(\times 16.7\) in. \(\times 16.7\) in.; \(4629.6\) in \(^ { 3 }\)
• B) 25 in. \(\times 25\) in. \(x 12.5\) in.; \(7812.5\) \(in^{3} \)
• C) \(33.3\) in. \(\times 33.3\) in. \(\times 16.7\) in.; \(18,518.5\) in \(^ { 3 }\)
• D) \(33.3\) in. \(\times 33.3\) in. \(\times 8.3\) in.; \(9259.3\) in \(^ { 3 }\)

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