Question

a rectangular prism with length \\( \ell \\), width \\( w \\), and height \\( h \\) has a volume of \\( \ell wh \\). what is the volume of a prism which has a base of 5 m by 3 m, and a height of 4 m? \\( \square \\) \\( \text{m}^3 \\)

Explanation:

Step1: Identify the formula

The volume \( V \) of a rectangular prism is given by \( V = \ell wh \), where \( \ell \) is the length, \( w \) is the width, and \( h \) is the height.

Step2: Substitute the values

Here, \( \ell = 5 \, \text{m} \), \( w = 3 \, \text{m} \), and \( h = 4 \, \text{m} \). Substituting these into the formula, we get \( V = 5 \times 3 \times 4 \).

Step3: Calculate the product

First, multiply \( 5 \) and \( 3 \): \( 5 \times 3 = 15 \). Then, multiply the result by \( 4 \): \( 15 \times 4 = 60 \).

Answer:

\( 60 \)