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 24 inches and a height of 16 inches. how many times bigger is the volume of pyramid b than pyramid a? (4 points)

Step-by-step explanation:

Notice that the base area of this pyramid is a square, which means its area is

The volume of a pyramid is defined by

Replacing values, we have

Now, we use the same process to find the volume of the pyramid B.

Then,

Now, to find the scale factor between these volumes, we use the following relation

Where we have to find

Therefore, the volume of pyramid B is 8 times greater than the volume of the pyramid A.

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

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