Question

Find the volume of a pyramid with a square base, where the perimeter of the base is

10.3
m
10.3 m and the height of the pyramid is
15.1
m
15.1 m. Round your answer to the nearest tenth of a cubic meter.

Answer 1

33.4 m^3

Explanation:

The edge length of the base is 1/4 of the perimeter, so is ...

(10.3 m)/4 = 2.575 m

Then the area of the base is the square of this, or ...

B = (2.575 m)^2 = 6.630625 m^2

The volume is ...

V = (1/3)Bh = (1/3)(6.630625 m^2)(15.1 m) ≈ 33.4 m^3

The volume of the pyramid is about 33.4 cubic meters.