Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with a base side length of 36 inches and a height of 24 inches. How many times bigger is the volume of pyramid B than pyramid A?

Numerical Answers Expected!

Question

Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with a base side length of 36 inches and a height of 24 inches. How many times bigger is the volume of pyramid B than pyramid A?

Numerical Answers Expected!

phi · Answer

Do you know the formula for the volume of a pyramid ?

welshfella · Answer

Note that the ratio of the lengths of the side base and the height are 36:12 and 24:8
which simplifies to what?

welshfella · Answer

divide 36 by 12 and 12 by 12 and what do you get?

help_people · Answer

36/12 = 3 and 12/12 =1 @welshfella

welshfella · Answer

ok so thats a ratio of 3:1
Now the ratios of their volumes is  3^3 : 1^3

so now you can answer the questsion