Question

What is the volume of the square pyramid with base edges 18 m and slant height 15 m?

1296 m3

3965 m3

4860 m3

1144 m3

Answer 1

Answer: First option

Step-by-step explanation:

1. You must apply the following formula for calculate the volume of a square pyramid:

$V=\frac{b^{2}*h}{3}$

Where h is the height and b is a side of the base.

2. Calculate the height by applying the Pythagorean Theorem:

$h=\sqrt{(15m)^{2}-(\frac{18m}{2} )^{2}}=12m$

3. Therefore, the volume is:

$V=\frac{(18m)^{2}*12m}{3}=1296m^{3}$