Question

what is the volume of this triangular pyramid?
3 cm
4 cm
5 cm
cubic centimeters

Explanation:

Step1: Calculate base triangle area

The base is a right triangle, so area is $\frac{1}{2} \times 4 \times 3 = 6$ $\text{cm}^2$

Step2: Apply pyramid volume formula

Volume = $\frac{1}{3} \times \text{base area} \times \text{height}$
$\frac{1}{3} \times 6 \times 5 = 10$

Answer:

10 cubic centimeters