Question

I’m confused on this one

Answer 1

The formula of a volume of a pyramid:

`V=(1)/(3)A_BH`

`A_B` - area of a base

`H` - height of a pyramid

Calculate the area of the base:

`A_B=10^2=100\ u^2`

Calculate the length of height of the pyramid using the Pythagorean theorem:

`H^2+5^2=13^2\\\\H^2=25=169\ \ \ |-25\\\\H^2=144\to H=√(144)\to H=12`

Calculate the volume of the pyramid:

`V=(1)/(3)\cdot100\cdot12=100\cdot4=400\ u^3`