Question

1. enter the algebraic expression for the volume of the cube.

w meters

• refer to the backside of pg.1 of your notesheet for an example of wri an algebraic expression for the volume of a cube.

w meters × w meters × w meters

Explanation:

Step1: Recall the volume formula for a cube

The volume \( V \) of a cube is given by \( V=\text{side}\times\text{side}\times\text{side}\).

Step2: Substitute the side length

Here, the side length of the cube is \( w \) meters. So, substituting into the formula, we get \( V = w\times w\times w\).

Step3: Simplify using exponent rules

Using the rule \( a\times a\times a=a^{3}\) (where \( a = w\)), we can rewrite \( w\times w\times w\) as \( w^{3}\).

Answer:

\( w^{3}\)