Question

SOMENONE HELP
The two square pyramids are similar. Find the total volume of both pyramids if the ratio of their surface areas is 9/16
A 545
B 546
C 554
D 564

Answer 1

@jim_thompson5910 can you help

Answer 2

"the ratio of their surface areas is 9/16"

so the ratio of the corresponding sides is 3/4. I took the square root of 9/16 to get 3/4

Answer 3

Now solve the following equation for x

x/12 = 3/4

x = ???

tell me what you get

Answer 4

9?

Answer 5

yes that is correct

Answer 6

That is the side length of the smaller pyramid

Answer 7

Also, solve this for y

6/y = 3/4

y = ???

finding the value of y will get you the height of the larger pyramid. Tell me what you get

Answer 8

eek I have 5 minutes left

Answer 9

ok we can work on it when you get back

Answer 10

can you tell me the answer im sorry i will still go through it after

Answer 11

no I cannot

I will say this though

smaller pyramid:
side length is s = 9
height is h = 6


larger pyramid:
side length is s = 12
height is h = 8 (you find this after solving for y above)


use the formula V = (1/3)*s^2*h to find the volume of each pyramid. Then add up the volumes.

Answer 12

i didn't have enough time to figure that out and i failed my quiz for the 7th time.