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.

Height of bigger square pyramid = 3.072 meter

Step-by-step explanation:

Using equivalent ratios to find the side of the bigger square prism

128:8 = 250:X

X = (250 x 8) ÷ 128 = 15.625

Volume of a square pyramid = a x a x h/3

Hence to evaluate the height

250 = 15.625 x 15.625 x h/3

H = 3.072 meters