Question

Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B has a volume of 3,456 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percentage. Provide an explanation and proof for your answer to receive full credit.

Answer 1

in my head i feel like i know how to do this but I dont want to put it out there just incase im wrong yk

sooooo @AZ

Answer 2

I think he left it on, so it says he's online. He hasn't responded to messages or anything

Answer 3

oop- @snowflake0531

Answer 4

Oh lord I'm done for

Answer 5

\(\text{Volume of square pyramid} = \dfrac{1}{3}s^2 h\)

where s is the side and h is the height

so our s = 12
and h = 8

what is the volume of pyramid A?

Answer 6

Is it 384?

Answer 7

Yup!

So how many times is pyramid B bigger than pyramid A?

Just have to divide

3456/ 384 =

Answer 8

9

Answer 9

yeah and they want it as a percent so multiply by 100%

Answer 10

900%..?

Answer 11

yup!

Answer 12

What about Provide an explanation and proof for your answer to receive full credit.

Answer 13

show your work using that formula
The volume of Pyramid A is 384

show that Pyramid B volume / Pyramid A volume * 100 = 900%
and so the volume of Pyramid B is 9 00% times larger than the volume of Pyramid A.

Answer 14

Is that all it needs?

Answer 15

It's math so like I doubt they can expect any different kind of explanation- as long as you show your work

Answer 16

What about the proof part?

Answer 17

the proof is the work that you show

you plugging in the numbers into the formula

Answer 18

900% 

The volume of Pyramid A is 384

Pyramid B volume / Pyramid A volume * 100 = 900% and so the volume of Pyramid B is 9 00% times larger than the volume of Pyramid A.
Is that good?

Answer 19

well include the formula

V = 1/3 s^2 * h

s = 12
h = 8

and you can even show the numbers you get in between before you reach the final answer

Answer 20

Ok how about this
900% 

V = 1/3 s^2 * h

s = 12

h = 8

V= 1 / 3 12^2 * 8

The volume of Pyramid A is 384

Pyramid B volume / Pyramid A volume * 100 = 900% and so the volume of Pyramid B is 900% times larger than the volume of Pyramid A.

Answer 21

might want to put a little * between 1/3 and 12^2 so you can tell that it's multiplication so


V = 1/3 s^2 * h

s = 12

h = 8

V= 1/3 * 12^2 * 8

The volume of Pyramid A is 384

Pyramid B volume / Pyramid A volume * 100%
3456 / 384 * 100% = 900%

The volume of Pyramid B is 900% times larger than the volume of Pyramid A.

Answer 22

Ok thank you!

Answer 23

No problem!