A rectangular prism (box) has volume 240 cubic cm. A smaller rectangular prism is removed from the larger prism. The lengths of the edges of the smaller prism are one-half the lengths of the corresponding edges of the larger prism. How many cubic centimeters is the volume of the remaining solid?

Step-by-step explanation:

A rectangular prism is a three-dimensional solid.

A rectangular prism has six faces (each one of these faces are rectangles), eight vertices and twelve edges.

You know that this rectangular prism has 5 layers and the volume of one of these layers is 18 cubic centimeters ().

Assuming that all these layers are equal, the volume of this rectangular prism can be calculated with:

Where is the volume of one layer.

Substituting, you get:

answer: 800

step-by-step explanation: