Q9. - Algebra 1

Question

GEOMETRY A cube measures 3 meters on a side. What is its volume?

Step-by-Step Solution

Answer

The volume of the cube is 27 cubic meters.

Step 1. State the formula.

The formula for the volume of a cube is $V=a^3$, where V is the volume and a is the side length of the cube.

Step 2. List the given data.

A cube measures 3 meters on a side. So, the side length of the cube is 3 meters.

Step 3. Calculate the volume.

Put $a=3$ in $V=a^3$ to get,

$$\begin{gathered} V={\left(3\right)}^3 \\ =27 \end{gathered}$$

So, $V=27$.

Step 4. Determine the unit.

Since the unit of the side length is given as meter, the unit of the volume obtained must be cubic meters.

 

So, the volume of the cube is 27 cubic meters.