Q:

The volume of a single layer in a rectangular prism is 18 cubic centimeters. There are 5 layers in this rectangular prism. What is the volume, on cubic centimeters, of this rectangular prism?

Accepted Solution

A:
Answer: [tex]90cm^3[/tex]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 ([tex]18cm^3[/tex]). Assuming that all these layers are equal, the volume of this rectangular prism can be calculated with: [tex]V_{prism}=5*V_1[/tex] Where [tex]V_1[/tex] is the volume of one layer. Substituting, you get: [tex]V_{prism}=(5)(18cm^3)\\\\V_{prism}=90cm^3[/tex]