The base area of a right pyramid is 57 sq. units and height is 10 units. Then the volume of the pyramid is

Options

A. 190 cubic units
B. 380 cubic units
C. 540 cubic units
D. 570 cubic units

Answer

To find the volume of a right pyramid, we can use the formula:

\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]

### Step-by-step Solution:

1. **Identify the given values**:
- Base Area (A) = 57 sq. units
- Height (h) = 10 units

2. **Substitute the values into the volume formula**:
\[ \text{Volume} = \frac{1}{3} \times 57 \times 10 \]

3. **Calculate the product of the base area and height**:
\[ 57 \times 10 = 570 \]

4. **Now, multiply by \(\frac{1}{3}\)**:
\[ \text{Volume} = \frac{570}{3} \]

5. **Perform the division**:
\[ 570 \div 3 = 190 \]

6. **State the final answer**:
\[ \text{Volume} = 190 \text{ cubic units} \]

### Final Answer:
The volume of the pyramid is **190 cubic units**.