Question

if l = 10 m, w = 20 m, and h = 12 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 \( l = 10 \, \text{m} \), \( w = 20 \, \text{m} \), and \( h = 12 \, \text{m} \). Substituting these values into the formula, we get:
\( V = 10 \times 20 \times 12 \)

Step3: Calculate the product

First, multiply \( 10 \) and \( 20 \): \( 10 \times 20 = 200 \). Then, multiply the result by \( 12 \): \( 200 \times 12 = 2400 \).

Answer:

The volume of the prism is \( 2400 \, \text{m}^3 \).