Question

The volumes of two similar square pyramids is 128 and 250 meters respectively. The side length of the smaller pyramid is 8 meters. Determine the height of the larger pyramid.

A)7.5 m
B)6 m
C)48 m
D)60 m

Answer 1

height of the larger pyramid = 7.5 m

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 =
`(a^3h)/(3)` ..............1

for smaller pyramids put here value and get height

128 =
`(8^2* h)/(3)`

height of small pyramid h = 6

so two similar square pyramids ratio with height is express as

`(128)/(250) = ((6)^3)/(x^3)`

x = 7.5 m