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

Answer 1

The volume of pyramid B would be 8 times larger than pyramid A.

Answer 2

Answer:

The answer is 8 times.

Step-by-step explanation:

In order to determine the answer, we have to know the formulas about a square pyramid. I have attached an image that show some formulas and a sketch about square pyramid.

Then, if we use the volume formula of the image for Pyramid A and Pyramid B:

Pyramid A:

$a=12 in\\h=8 in\\V=\frac{1}{3}*a^2*h\\ V=\frac{1}{3}*(12)^2*8\\V=384in^3$

Pyramid B:

$a=24 in\\h=16 in\\V=\frac{1}{3}*a^2*h\\ V=\frac{1}{3}*(24)^2*16\\V=3072in^3$

Finally, if we divide the volume of Pyramid B by the volume of Pyramid A:

$\frac{3072}{384} =8$

So, the volume of Pyramid B is bigger 8 times than the volume of Pyramid A.