Question

find the volume of the rectangular prism. the rectangular prism (shown in the image) has dimensions 7 cm, 9 cm, and 3 cm. ( v = ? , \text{cm}^3 )

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, we have \( l = 7 \) cm, \( w = 9 \) cm, and \( h = 3 \) cm.

Step3: Substitute the values into the formula and calculate.

Substitute \( l = 7 \), \( w = 9 \), and \( h = 3 \) into the formula:
\[
V = 7 \times 9 \times 3
\]
First, calculate \( 7 \times 9 = 63 \). Then, calculate \( 63 \times 3 = 189 \).

Answer:

\( 189 \)