Question

Pyramid A is a square pyramid with a base side length of 14 inches and a height of 6 inches. Pyramid B has a volume of 3136 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percent. Provide an explanation and proof for your answer to receive full credit.

Answer 1

So let's break this up into parts. We need to compare their volumes right? So do you know any formulas or ways to find the volume of a pyramid?

Answer 2

base x h?

Answer 3

:/

Answer 4

Close, the formula is \[\LARGE V=\frac{1}{3}bh\] since b x h will be the volume of the entire rectangular prism with the height h.

Answer 5

28?

Answer 6

Yeah, very good! Ok, now we need to find out how much larger the second one is to this smaller one. So to put it into a percent, you divide the smaller one by the larger one and then multiply it by 100 to get it in percentage.

Answer 7

D:

Answer 8

28/3136 ???

Answer 9

Yeah, exactly =D

Answer 10

That will make it a decimal, but if you multiply it by 100 that makes it a percentage

Answer 11

i got 0.89285714285

Answer 12

:/

Answer 13

Hahaha that's right! I don't know why the funny faces! XD

Answer 14

It's not even 1% of the volume! That makes sense, since 28 is so much smaller than 3136.

Answer 15

WELL THANKS!!!!!!!!!!!!!!!!!!

Answer 16

You're welcome!