Question
A water tank is built in the form of a right rectangular prism and it can hold 136 cubic feet of water when it is full. Its length is 8.1 ft and its width is 4.1 ft. Find the height of the water tank in feet. Round your answer to the nearest tenth if necessary.
Answers
GPT-4o mini
The volume \( V \) of a right rectangular prism (in this case, the water tank) is given by the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
We know the volume \( V \), length, and width, and we need to find the height \( h \).
Given:
- Volume \( V = 136 \) cubic feet
- Length \( l = 8.1 \) feet
- Width \( w = 4.1 \) feet
We can rearrange the volume formula to solve for height \( h \):
\[
h = \frac{V}{l \times w}
\]
Substituting in the values:
\[
h = \frac{136}{8.1 \times 4.1}
\]
First, calculate \( 8.1 \times 4.1 \):
\[
8.1 \times 4.1 = 33.21
\]
Now substitute this back into the equation for height:
\[
h = \frac{136}{33.21} \approx 4.1
\]
Therefore, the height of the water tank is approximately \( \boxed{4.1} \) feet.
\[
V = \text{length} \times \text{width} \times \text{height}
\]
We know the volume \( V \), length, and width, and we need to find the height \( h \).
Given:
- Volume \( V = 136 \) cubic feet
- Length \( l = 8.1 \) feet
- Width \( w = 4.1 \) feet
We can rearrange the volume formula to solve for height \( h \):
\[
h = \frac{V}{l \times w}
\]
Substituting in the values:
\[
h = \frac{136}{8.1 \times 4.1}
\]
First, calculate \( 8.1 \times 4.1 \):
\[
8.1 \times 4.1 = 33.21
\]
Now substitute this back into the equation for height:
\[
h = \frac{136}{33.21} \approx 4.1
\]
Therefore, the height of the water tank is approximately \( \boxed{4.1} \) feet.