The volume of a rectangular prism can be calculated with the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height. If a rectangular prism has a volume of 90 ft.3, length of 3 ft., and height of 12 ft., what is its width? Enter your answer as a decimal.

Answer 1

To find the width \( w \) of the rectangular prism, we can rearrange the volume formula \( V = lwh \) to solve for \( w \):

\[ w = \frac{V}{lh} \]

Given:

• Volume \( V = 90 , \text{ft}^3 \)
• Length \( l = 3 , \text{ft} \)
• Height \( h = 12 , \text{ft} \)

Now, substitute the known values into the formula:

\[ w = \frac{90}{3 \times 12} \]

Calculate \( 3 \times 12 \):

\[ 3 \times 12 = 36 \]

Now substitute that back into the equation:

\[ w = \frac{90}{36} \]

Now perform the division:

\[ w = 2.5 \]

Thus, the width \( w \) of the rectangular prism is:

\[ \boxed{2.5} , \text{ft} \]