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 height. If a rectangular prism has a volume of 90ft to the third power, the length of 3ft and the height of 12ft., what is it's width? Enter your answer as a decimal.

1 answer

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

Given:

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

We can plug in the values into the formula and solve for \( w \):

\[ 90 = 3 \times w \times 12 \]

Calculating the product of length and height:

\[ 90 = 36w \]

Now, we can solve for \( w \) by dividing both sides by 36:

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

Calculating the fraction:

\[ w = 2.5 \]

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