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:
- First, calculate \( 5 \times 2.5 = 12.5 , \text{square feet} \).
- 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