Question

I’m confused on this one

Answer 1

The formula of a volume of a pyramid:

$V=\dfrac{1}{3}A_BH$

$A_B$ - 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:

$H^2+5^2=13^2\\\\H^2=25=169\ \ \ |-25\\\\H^2=144\to H=\sqrt{144}\to H=12$

Calculate the volume of the pyramid:

$V=\dfrac{1}{3}\cdot100\cdot12=100\cdot4=400\ u^3$