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

Explanation:

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

`V=(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)-((18m)/(2) )^(2)}=12m`

3. Therefore, the volume is:

`V=((18m)^(2)*12m)/(3)=1296m^(3)`