Question

7.3.9.b a rectangular prism is 8cm long, 3 cm wide, and 5 cm tall. what is the volume?

Explanation:

Step1: Recall volume formula for 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: Substitute the given values

Here, \( l = 8 \, \text{cm} \), \( w = 3 \, \text{cm} \), and \( h = 5 \, \text{cm} \). Substituting these into the formula, we get \( V = 8 \times 3 \times 5 \).

Step3: Calculate the product

First, multiply \( 8 \times 3 = 24 \). Then, multiply \( 24 \times 5 = 120 \). So the volume is \( 120 \, \text{cubic centimeters} \).

Answer:

The volume of the rectangular prism is \( 120 \, \text{cm}^3 \).