The volume of a rectangular prism can be calculated with the formula V=lwh

Question

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

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

Given:

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

Now, we can substitute the values into the equation:

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

Calculating the denominator:

\[ 3 \times 12 = 36 \]

Now substitute this back into the equation for \( w \):

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

Now, divide \( 90 \) by \( 36 \):

\[ w = 2.5 \]

Thus, the width of the rectangular prism is \( 2.5 \) ft.