Jevon filled one-half of a cube-shaped box with binders.

The box is 20 inches tall. What volume of the box is filled with binders?
Responses

A 8,000 in.38,000 in. 3

B 200 in.3200 in. 3

C 4,000 in.34,000 in. 3

D 400 in.3400

1 answer

B 200 in.3

The volume of the cube-shaped box is equal to the height of the box cubed, so if it's 20 inches tall, the volume of the box is 20^3 = 8000 in^3.

Since one-half of the box is filled with binders, the volume of the binders is half of the volume of the box, so 8000 in^3 / 2 = 4000 in^3.

Therefore, the correct answer is B) 200 in^3.