Question

find the width of a recatngle.

volume: 90ft^3
height: 12ft
length: 3ft

Answer 1

To find the width of the rectangle, we can use the formula for the volume of a rectangular prism (box), which is given by:

\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]

In this case, we know the volume, height, and length:

- Volume \( V = 90 \, \text{ft}^3 \)
- Height \( H = 12 \, \text{ft} \)
- Length \( L = 3 \, \text{ft} \)

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

\[
W = \frac{V}{L \times H}
\]

Now plug in the known values:

\[
W = \frac{90 \, \text{ft}^3}{3 \, \text{ft} \times 12 \, \text{ft}}
\]

Calculating the denominator:

\[
3 \, \text{ft} \times 12 \, \text{ft} = 36 \, \text{ft}^2
\]

Now we can calculate the width:

\[
W = \frac{90 \, \text{ft}^3}{36 \, \text{ft}^2} = 2.5 \, \text{ft}
\]

Thus, the width of the rectangle is \( 2.5 \, \text{ft} \).