Question

volume = in³

Explanation:

Step1: Recall the formula for the volume of a rectangular prism.

The volume \( V \) of a rectangular prism (or a cuboid) is given by the formula \( V = l \times w \times h \), where \( l \) is the length, \( w \) is the width, and \( h \) is the height.

Step2: Identify the length, width, and height from the diagram.

From the diagram, the length \( l = 6 \) in, the width \( w = 4 \) in, and the height \( h = 3 \) in.

Step3: Substitute the values into the formula and calculate the volume.

Substitute \( l = 6 \), \( w = 4 \), and \( h = 3 \) into the formula:

$$ V = 6 \times 4 \times 3 $$

First, calculate \( 6 \times 4 = 24 \). Then, calculate \( 24 \times 3 = 72 \).

Answer:

\( 72 \)