If a regular square pyramid has a base of side 4 cm and height of 30 cm, then its volume is :

Options

A. 120 cc
B. 240 cc
C. 160 cc
D. 900 cc

Answer

To find the volume of a regular square pyramid with a base side of 4 cm and a height of 30 cm, we can follow these steps:

### Step 1: Recall the formula for the volume of a pyramid.
The volume \( V \) of a pyramid is given by the formula:
\[ V = \frac{1}{3} \times \text{Area of Base} \times \text{Height} \]

### Step 2: Calculate the area of the base.
Since the base of the pyramid is a square, the area \( A \) of the base can be calculated using the formula for the area of a square:
\[ A = \text{side}^2 \]
Given that the side of the square is 4 cm, we have:
\[ A = 4^2 = 16 \text{ cm}^2 \]

### Step 3: Substitute the area and height into the volume formula.
Now, we can substitute the area of the base and the height into the volume formula:
\[ V = \frac{1}{3} \times 16 \text{ cm}^2 \times 30 \text{ cm} \]

### Step 4: Perform the multiplication.
Calculating the multiplication:
\[ V = \frac{1}{3} \times 480 \text{ cm}^3 \]
\[ V = 160 \text{ cm}^3 \]

### Conclusion:
Thus, the volume of the pyramid is \( 160 \text{ cm}^3 \).