Question

if l = 5 m, w = 8 m, and h = 4 m, calculate the volume of the prism:

Explanation:

Step1: Recall the volume formula for 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: Substitute the given values into the formula

We are given that \( l = 5 \, \text{m} \), \( w = 8 \, \text{m} \), and \( h = 4 \, \text{m} \). Substituting these values into the formula, we get:

$$ V = 5 \times 8 \times 4 $$

Step3: Perform the multiplication

First, multiply \( 5 \) and \( 8 \): \( 5 \times 8 = 40 \). Then, multiply the result by \( 4 \): \( 40 \times 4 = 160 \).

Answer:

The volume of the prism is \( 160 \, \text{m}^3 \).