Question

Create a six sided cube that shows examples of different solids and explain how to calculate the surface area and volume of each.

Answer 1

We are given a six-sided cube. To determine the surface area and the volume of the cube, we need to know the area of one side:

All sides of the cube are squares with side, s. The area of one square is

A = s^2 

The surface area of a cube is the sum of all areas of the sides. So

SA = 6 sides * s^2
SA = 6s^2

The volume of the cube is 

V = s^3

The volume of the cube represents the total solid area of the cube which includes the space inside the solid.