Question

Each dimension of the cubical storage space inside a fireproof safe is 12 inches. What is the volume of the storage space?

Short answer

The volume of the storage space is 1728 cubic inches

Step-by-step solution

Identify the dimensions of the cube

Since the safe is cubical, we know that all sides are equal in length. The given dimension is 12 inches, hence the length, width and height of the cubical storage space are each 12 inches.

Apply the formula to find volume

The formula for the volume of a cube is \(Side^3\). This represents the multiplication of the length, width and height. Since they are all the same, this can be simplified into a simple cube of the side's length.

Calculate the volume

Substitute the value, \(Side = 12 inches\) into the formula. The resulting volume is obtained by cubing the side length, \(12 inches \times 12 inches \times 12 inches = 1728 cubic inches\)