Answer :
Answer:
height of the larger pyramid = 7.5 m
Step-by-step explanation:
given data
volumes of pyramids = 128 meters
volumes of pyramids = 250 meters
side length of the smaller pyramid = 8 meters
solution
we know that volume of square pyramids that is express as
volume of square pyramids = [tex]\frac{a^3h}{3}[/tex] ..............1
for smaller pyramids put here value and get height
128 = [tex]\frac{8^2\times h}{3}[/tex]
height of small pyramid h = 6
so two similar square pyramids ratio with height is express as
[tex]\frac{128}{250} = \frac{(6)^3}{x^3}[/tex]
x = 7.5 m