Question

Bakersfield Middle School bought a large aquarium for their science lab. The aquarium has a length of 5 feet and a width of 2.5 feet. The aquarium is 3.5 feet tall. How many cubic feet of water will this aquarium hold?



Find the Volume of the aquarium. Do not round.



(3 points)
Area of the rectangular Base =
square feet

Height of the rectangular prism =
feet

Volume of the rectangular prism =
cubic feet





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Answer 1

To find the volume of the aquarium (which is a rectangular prism), we can use the formula for the volume of a rectangular prism:

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

Given:
- Length = 5 feet
- Width = 2.5 feet
- Height = 3.5 feet

**Step 1: Calculate the area of the rectangular base:**
\[
\text{Area of the rectangular base} = \text{Length} \times \text{Width} = 5 \, \text{feet} \times 2.5 \, \text{feet} = 12.5 \, \text{square feet}
\]

**Step 2: Height of the rectangular prism:**
\[
\text{Height of the rectangular prism} = 3.5 \, \text{feet}
\]

**Step 3: Calculate the volume of the rectangular prism:**
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height} = 5 \, \text{feet} \times 2.5 \, \text{feet} \times 3.5 \, \text{feet}
\]
Calculating this step-by-step:
1. First, calculate \( 5 \times 2.5 = 12.5 \, \text{square feet} \).
2. Then, multiply by the height:
\( 12.5 \times 3.5 = 43.75 \, \text{cubic feet} \).

Thus:
- **Area of the rectangular Base =** 12.5 square feet
- **Height of the rectangular prism =** 3.5 feet
- **Volume of the rectangular prism =** 43.75 cubic feet

In summary:
- Area of the rectangular Base = 12.5 square feet
- Height of the rectangular prism = 3.5 feet
- Volume of the rectangular prism = 43.75 cubic feet