To find the volume of the aquarium, you can use the formula for the volume of a rectangular prism (which is the shape of the aquarium):
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
From the information provided:
- Length = 5 feet
- Width = 2.5 feet
- Height = 3.5 feet
Step 1: Find the area of the rectangular base.
The area of the base (which is a rectangle) is calculated as follows:
\[ \text{Area} = \text{Length} \times \text{Width} \] \[ \text{Area} = 5 , \text{feet} \times 2.5 , \text{feet} = 12.5 , \text{square feet} \]
Step 2: Height of the rectangular prism.
The height of the aquarium is already given:
Height = 3.5 feet
Step 3: Find the volume of the rectangular prism.
Now, we will calculate the volume:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \] \[ \text{Volume} = 5 , \text{feet} \times 2.5 , \text{feet} \times 3.5 , \text{feet} \] \[ \text{Volume} = 5 \times 2.5 = 12.5 , \text{square feet} \] Now multiply by height: \[ \text{Volume} = 12.5 , \text{square feet} \times 3.5 , \text{feet} = 43.75 , \text{cubic feet} \]
Summary of Results
- 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
So, the aquarium will hold 43.75 cubic feet of water.