Question

g. (ex 3) a shipping container is in the shape of a cube with a side length of 3x inches. what is the volume of the container?

Explanation:

Step1: Recall cube volume formula

The volume \( V \) of a cube is given by \( V = s^3 \), where \( s \) is the side length.

Step2: Substitute side length

Here, the side length \( s = 3x \) inches. Substitute into the formula: \( V=(3x)^3 \).

Step3: Simplify the expression

Using the power of a product rule \((ab)^n = a^n b^n\), we have \((3x)^3 = 3^3 \cdot x^3 = 27x^3\).

Answer:

The volume of the container is \( 27x^3 \) cubic inches.