A large gift box is being constructed in the shape of a rectangular prism. The base area is 15 feet squared and the height is 5 feet. What will the volume of the gift box be?

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 does the lagoon hold?
A rectangular prism has a length of 7 ft, a width of 9 ft and a height of 12ft. What is the volume?

Answer 1

To calculate the volume of a rectangular prism, you can use the formula:

\[ \text{Volume} = \text{Base Area} \times \text{Height} \]

1. For the large gift box:

Given:

• Base area = 15 square feet
• Height = 5 feet

Calculating the volume:

\[ \text{Volume} = 15 , \text{ft}^2 \times 5 , \text{ft} = 75 , \text{ft}^3 \]

The volume of the gift box is 75 cubic feet.

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2. For the scuba diving lagoon:

Given:

• Length = 50 feet
• Width = 20 feet
• Depth (height) = 25 feet

Calculating the volume:

\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \] \[ \text{Volume} = 50 , \text{ft} \times 20 , \text{ft} \times 25 , \text{ft} = 25000 , \text{ft}^3 \]

The lagoon holds 25,000 cubic feet of water.

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3. For the third rectangular prism:

Given:

• Length = 7 feet
• Width = 9 feet
• Height = 12 feet

Calculating the volume:

\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \] \[ \text{Volume} = 7 , \text{ft} \times 9 , \text{ft} \times 12 , \text{ft} = 756 , \text{ft}^3 \]

The volume of this rectangular prism is 756 cubic feet.

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To summarize:

• The volume of the gift box is 75 ft³.
• The lagoon holds 25,000 ft³ of water.
• The volume of the third rectangular prism is 756 ft³.