Question

find the volume of the rectangular prism.
(an image of a rectangular prism with length 9 in, width 5 in, height 8 in)
in³

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 \( l = 9 \) in, the width \( w = 5 \) in, and the height \( h = 8 \) in.

Step3: Substitute the values into the formula

Substitute \( l = 9 \), \( w = 5 \), and \( h = 8 \) into the formula: \( V = 9 \times 5 \times 8 \).

Step4: Calculate the product

First, calculate \( 9 \times 5 = 45 \). Then, calculate \( 45 \times 8 = 360 \).

Answer:

\( 360 \) cubic inches (or \( 360 \text{ in}^3 \))