Problema Solution
the volume of a pyramid with a square is 168.7 5 cubic meters. its altitude is 9 meters. find the perimeter of its base.
Answer provided by our tutors
let
h = 9 m is the altitude
a = the length of the side of the square, a>0
V = 168.75 m^3 the volume of the pyramide
P = 4a the perimeter of the base that we need to find
The formula for the volume of a square pyramide is:
V = (1/3)(a^2)*h
(1/3)(a^2)*9 = 168.75
by solving we find:
a = 7.5 m
click here to see the step by step solution of the equation:
P = 4*7.5
P = 30 m
the perimeter of the base is 30 meters.