Calculate the volume of a square-based pyramid in which the area of the base is 12 square units and the height is 15

Question

units. (1 point)
• 60 cubic units
• 180 cubic units
• 45 cubic units
• 27 cubic units

Answer 1

The volume \( V \) of a pyramid can be calculated using the formula:

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

Given:

• Base Area = 12 square units
• Height = 15 units

Now, substitute these values into the formula:

\[ V = \frac{1}{3} \times 12 \times 15 \]

Calculating the product inside the brackets:

\[ 12 \times 15 = 180 \]

Now, calculate the volume:

\[ V = \frac{1}{3} \times 180 = 60 \text{ cubic units} \]

Thus, the volume of the pyramid is \( \boxed{60} \) cubic units.