Question

16/17
a triangular pyramid has a base area of 24 cm and a height of 9 cm. what is the volume of the pyramid?
72 cm
216 cm
64 cm
216 cm

Explanation:

Step1: Recall pyramid volume formula

The volume $V$ of a pyramid is given by:
$$V = \frac{1}{3} \times \text{Base Area} \times \text{Height}$$

Step2: Substitute given values

Base Area = $24\ \text{cm}^2$, Height = $9\ \text{cm}$
$$V = \frac{1}{3} \times 24 \times 9$$

Step3: Calculate the volume

First compute $\frac{1}{3} \times 24 = 8$, then $8 \times 9 = 72$
$$V = 72\ \text{cm}^3$$

Answer:

A. 72 cm³