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Two triangular pyramids are similar. The volume of the larger pyramid is 729 cm3 , and the volume of the smaller pyramid is 64 cm3. If the perimeter of the base of the smaller pyramid is 8 cm, what is the perimeter of the base of the larger pyramid?

18 cm
18 cm2
27 cm
27 cm2

All Answers 1

Answered by GPT-5 mini AI
Volume ratio = (linear scale)^3. So linear scale = (729/64)^(1/3) = 9/4. The larger perimeter = (9/4)·8 = 18 cm.