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

Question

__ ft.

Answer 1

To find the width \( w \) of the rectangular prism, we can use the formula for the volume:

\[ V = lwh \]

Where:

• \( V \) is the volume,
• \( l \) is the length,
• \( w \) is the width,
• \( h \) is the height.

We're given the following values:

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

We can rearrange the formula to solve for \( w \):

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

Now, we can plug in the values:

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

Calculating the denominator:

\[ 3 \times 12 = 36 \]

Now, substituting back into the equation for \( w \):

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

Now, divide:

\[ w = 2.5 \]

Thus, the width of the rectangular prism is

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