Solve the problem.
-From a thin piece of cardboard 50 in. by 50 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. × 16.7 in. × 16.7 in.; 4629.6
B) 25 in. × 25 in. × 12.5 in.; 7812.5
C) 33.3 in. × 33.3 in. × 8.3 in.; 9259.3
D) 33.3 in. × 33.3 in. × 16.7 in.; 18,518.5

Question

Solve the problem.
-From a thin piece of cardboard 50 in. by 50 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. × 16.7 in. × 16.7 in.; 4629.6 
B) 25 in. × 25 in. × 12.5 in.; 7812.5 
C) 33.3 in. × 33.3 in. × 8.3 in.; 9259.3 
D) 33.3 in. × 33.3 in. × 16.7 in.; 18,518.5

Quizplus · Accepted Answer

The Answer of Solve the problem.
-From a thin piece of cardboard 50 in. by 50 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. × 16.7 in. × 16.7 in.; 4629.6 
B) 25 in. × 25 in. × 12.5 in.; 7812.5 
C) 33.3 in. × 33.3 in. × 8.3 in.; 9259.3 
D) 33.3 in. × 33.3 in. × 16.7 in.; 18,518.5

Solve the Problem. -From a Thin Piece of Cardboard 50 In. by 50