Question

PLEASE HELP
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 48 inches and a height of 32 inches. How many times bigger is the volume of pyramid B than pyramid A? (4 points)

Answer 1

do you know the formula to find the volume of a pyramid?

Answer 2

I believe it's 1/3bh

Answer 3

yes, where b in this case is the base area, h is the height

Answer 4

what is the base area of pyramid A?

Answer 5

would it be 12 or 144? I wasn't sure about that.

Answer 6

the base is this figure



imagine you're looking down on it (from a birds eye view)

Answer 7

the area is 12*12 = 144

Answer 8

so for pyramid A

b = 144
h = 8

Answer 9

so the volume would be 384?

Answer 10

yes, 384 cubic inches

Answer 11

use these steps to find the volume of pyramid B

Answer 12

tell me what you get

Answer 13

alright I got 24,576 cubic inches.

Answer 14

to get the final answer, you divide

\[\Large \frac{\text{Volume of Pyramid B}}{\text{Volume of Pyramid A}} = ??\]

Answer 15

I got 64...so triangle b is 64 times larger than triangle a??

Answer 16

yes, pyramid B is 64 times bigger than pyramid A in terms of the volume

if you melt pyramid A down into a liquid, then you can pour this into pyramid B. If you do this 64 times, then you'll completely fill up pyramid B without spilling

Answer 17

Thank you so much for all your help!!

Answer 18

sure thing

Answer 19

@jim_thompson5910 thanks for the help