Question

Two triangular pyramids are similar the volume of the large pyramids is 729cm and the volume of the smaller pyramids is 64 cm . If the perimeter of the base of the similar pyramids is 8 cm what is the perimeter of the base of the larger pyramids

Answer 1

18 cm for larger base

Explanation:

For similar figures, there is a formula regarding volume, area, and length

Large: small = y: x for length

large: small = (y^3) / (x^3) for volume

729 cm cube/ 64 cm cube = large : small

9: 4 = large: small by length

large/ 8cm = 9/ 4

large = 8*(9/4) = 2*9 = 18 cm