Question

calculate the volume of a triangular pyramid with base area $10\\ \text{cm}^2$ and height $6\\ \text{cm}$.
$60\\ \text{cm}^3$
$30\\ \text{cm}^3$
$20\\ \text{cm}^3$
$15\\ \text{cm}^3$

Explanation:

Step1: Recall pyramid volume formula

$V = \frac{1}{3} \times B \times h$
where $B$ = base area, $h$ = height

Step2: Substitute given values

$V = \frac{1}{3} \times 10\ \text{cm}^2 \times 6\ \text{cm}$

Step3: Calculate the volume

$V = \frac{1}{3} \times 60\ \text{cm}^3 = 20\ \text{cm}^3$

Answer:

C. $20\ \text{cm}^3$