volume is dependent on the mass
the volume of similar solids varies directly as the cube of their heights, so
16000/2000 = 30^3/h^3
8 = 27000/h^3
take cube root of both sides
2 = 30/h
h = 15 ------> the height of the smaller is 15 m
check:
let the base of larger be x by x
(1/3)x(x)(30) = 16000
x^2 = 1600
x = appr 40
ratio of heights = 30 : 15 = 2 : 1
so ratio of base sides = 40 : s
2/1 = 40/s
2s = 40
s = 20
volume of larger = (1/3)(40^2)(30) = 1600
volume of smaller = (1/3)(20^2)(15) = 2000
The vertical height of a large square based solid pyramid is 30m. Its mass is 16000 tonnes. If the mass of the smaller pyramid is 2000 tones, calculate its vertical height.
Is the mass taken as volume or area the formula im trying to use is AREA/area =k^2
1 answer
1 answer