Pyramid A is a square pyramid with a base side length of 7 inches and a height of 6 inches. Pyramid B has a volume of 3,136 in3. How many times bigger is the volume of pyramid B than pyramid A?

Select one:

a. 15

b. 32

c. 54

d. 75

First we need to calculate volume of pyramid A.

Volume of pyramid is calculated by using formula:

Va=B*H/3 where:

B is base surface and H is height of pyramid.

B=a^2 where a is length of one side of square base.

B=49

Va = 49*6/3 = 49*2=98

Now we divide volume of pyramid B with volume of pyramid A:

Vb/Va = 3136/98 = 32

Answer is B.