The volume of a rectangular prism can be validated with the formula V=lwh, Where V Is the volume l is length w is width and h is height If a retailer prism has a volume of 90 ft 3 length of three feet and height of 12 feet, what is the width? Answer your question as a decimal

Answer 1

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

\[ V = lwh \]

We are given:

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

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

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

Now, substituting the known values into the formula:

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

Calculating the denominator:

\[ 3 \times 12 = 36 \]

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

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

Now we can simplify:

\[ w = 2.5 , \text{ft} \]

Thus, the width is:

\[ \boxed{2.5} \]