Question
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
Answers
GPT-4o mini
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:
\[
\boxed{2.5}
\]
\[
V = lwh
\]
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:
\[
\boxed{2.5}
\]