Question

find the volume of the rectangular prism.
8 cm
3 cm
6 cm

Explanation:

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

The volume \( V \) of a rectangular prism 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 \( l = 6 \, \text{cm} \), the width \( w = 3 \, \text{cm} \), and the height \( h = 8 \, \text{cm} \).

Step3: Substitute the values into the formula and calculate

Substitute \( l = 6 \), \( w = 3 \), and \( h = 8 \) into the formula:

$$ V = 6 \times 3 \times 8 $$

First, calculate \( 6 \times 3 = 18 \). Then, calculate \( 18 \times 8 = 144 \).

Answer:

The volume of the rectangular prism is \( 144 \, \text{cm}^3 \).