A rectangular aquarium 3 ft x 2 ft x 1 ft is `2/3` full of water. In cubic feet, how much water is in the tank ?

Options

A. `14 2/3`
B. 11
C. `7 1/3`
D. 4

Answer

To find out how much water is in the aquarium, we will follow these steps:

### Step 1: Calculate the volume of the aquarium.
The volume \( V \) of a rectangular prism (in this case, the aquarium) can be calculated using the formula:
\[ V = \text{length} \times \text{width} \times \text{height} \]
Given the dimensions of the aquarium:
- Length = 3 ft
- Width = 2 ft
- Height = 1 ft

Substituting the values into the formula:
\[ V = 3 \, \text{ft} \times 2 \, \text{ft} \times 1 \, \text{ft} = 6 \, \text{cubic feet} \]

### Step 2: Determine the amount of water in the aquarium.
The problem states that the aquarium is \( \frac{2}{3} \) full of water. To find the volume of water, we need to calculate \( \frac{2}{3} \) of the total volume of the aquarium:
\[ \text{Volume of water} = \frac{2}{3} \times \text{Total Volume} \]
Substituting the total volume we calculated:
\[ \text{Volume of water} = \frac{2}{3} \times 6 \, \text{cubic feet} \]

### Step 3: Perform the multiplication.
Calculating \( \frac{2}{3} \times 6 \):
\[ \text{Volume of water} = \frac{2 \times 6}{3} = \frac{12}{3} = 4 \, \text{cubic feet} \]

### Conclusion:
The amount of water in the tank is \( 4 \, \text{cubic feet} \).

---