Question

1. a rectangular prism has a volume of 2,400 m³. its length is 20 m and height is 12 m. what is the width?

w = ______

Explanation:

Step1: Recall volume formula for rectangular prism

The volume \( V \) of a rectangular prism is given by \( V = l \times w \times h \), where \( l \) is length, \( w \) is width, and \( h \) is height. We need to solve for \( w \), so we can rearrange the formula to \( w=\frac{V}{l\times h} \).

Step2: Substitute the given values

We know \( V = 2400\space m^3 \), \( l = 20\space m \), and \( h = 12\space m \). First, calculate the product of length and height: \( l\times h=20\times12 = 240\space m^2 \). Then, substitute into the formula for width: \( w=\frac{2400}{240} \).

Step3: Perform the division

\( \frac{2400}{240}=10 \).

Answer:

The width of the rectangular prism is \( 10\space m \).