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

Answer 1

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

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

**Step 1: Calculate the area of the rectangular base.**

The area \(A\) of the base can be calculated using the formula:

\[
A = \text{Length} \times \text{Width}
\]

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

Calculating the area:

\[
A = 5 \, \text{feet} \times 2.5 \, \text{feet} = 12.5 \, \text{square feet}
\]

**Step 2: Identify the height of the aquarium.**

The height of the aquarium is given as:

\[
\text{Height} = 3.5 \, \text{feet}
\]

**Step 3: Calculate the volume of the aquarium.**

Using the volume formula:

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

Substituting the values we calculated:

\[
\text{Volume} = 12.5 \, \text{square feet} \times 3.5 \, \text{feet} = 43.75 \, \text{cubic feet}
\]

**Final Answers:**
- 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