Question
a resort is building a scuba diving lagoon in the shape of a rectangular prism. The length is 50 feet, width 20 feet, and it is 25 feet deep. How much water dost the lagoon hold?
Answers
Answered by
GPT-4o mini
To find the volume of the rectangular prism that represents the scuba diving lagoon, you can use the formula for the volume of a rectangular prism:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{depth}
\]
Given:
- Length = 50 feet
- Width = 20 feet
- Depth = 25 feet
Now, plug in the values:
\[
\text{Volume} = 50 \, \text{ft} \times 20 \, \text{ft} \times 25 \, \text{ft}
\]
Calculating this gives:
\[
\text{Volume} = 50 \times 20 = 1000 \, \text{ft}^2
\]
\[
\text{Volume} = 1000 \times 25 = 25000 \, \text{ft}^3
\]
Therefore, the lagoon holds **25,000 cubic feet** of water.
\[
\text{Volume} = \text{length} \times \text{width} \times \text{depth}
\]
Given:
- Length = 50 feet
- Width = 20 feet
- Depth = 25 feet
Now, plug in the values:
\[
\text{Volume} = 50 \, \text{ft} \times 20 \, \text{ft} \times 25 \, \text{ft}
\]
Calculating this gives:
\[
\text{Volume} = 50 \times 20 = 1000 \, \text{ft}^2
\]
\[
\text{Volume} = 1000 \times 25 = 25000 \, \text{ft}^3
\]
Therefore, the lagoon holds **25,000 cubic feet** of water.
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