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Orlov [11]
3 years ago
14

I’m confused on this one

Mathematics
1 answer:
sveticcg [70]3 years ago
4 0

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

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