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 does the lagoon hold?

1 answer

To find the volume of the rectangular prism that represents the scuba diving lagoon, we can use the formula for the volume of a rectangular prism:

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

Given the dimensions:

  • Length = 50 feet
  • Width = 20 feet
  • Depth = 25 feet

Now, we plug in the values:

\[ \text{Volume} = 50 , \text{feet} \times 20 , \text{feet} \times 25 , \text{feet} \]

Calculating this step-by-step:

  1. Multiply the length and width:

\[ 50 \times 20 = 1000 , \text{square feet} \]

  1. Now multiply the result by the depth:

\[ 1000 , \text{square feet} \times 25 , \text{feet} = 25000 , \text{cubic feet} \]

Thus, the lagoon holds 25,000 cubic feet of water.