Question

The surface areas of two similar solids are 318 yd2 and 1004 yd2. The volume of the larger solid is 1730 yd3. What is the volume of the smaller solid?

A) 308 yd3
B) 822 yd3
C) 974 yd3
D) 1,730 yd3

Thanks!

Answer 1

again?

Answer 2

I'm having trouble mastering your instructions...

Answer 3

1) take the ratio
2) take the square root
3) cube it

that is your new ratio

Answer 4

thanks man!

Answer 5

yw

Answer 6

i can check if you like

Answer 7

awesome!

Answer 8

17.83,

Answer 9

31.68,

Answer 10

how do i find ratio?

Answer 11

\[\frac{318}{1008}=\frac{159}{502}\]
\[\sqrt{\frac{159}{502}}=.52679\] rounded

Answer 12

oh i went for the square roots first...

Answer 13

\[.592679^3=.17825\] so did i

Answer 14

so that is your ratio

Answer 15

you got it but the decimal should be in front

Answer 16

now i cube it?

Answer 17

when I cube it i get 0.56785?

Answer 18

no i did what you did
take the square root
then cube
i did in the same order you did

Answer 19

root is .56785

Answer 20

then cube to get .17825

Answer 21

3.164 for the other number cubed...

Answer 22

what next?

Answer 23

oh wait i have confused you. i am not taking the square root or the cube of the numerator and denominator

Answer 24

i am taking the square root and the cube of the entire ratio

Answer 25

we start again and go step by step. initial ratio is
\[\frac{318}{1004}=\frac{159}{502}\] reduced. i just reduced the ratio, that is all. now i take the square root of the hole thing

Answer 26

\[\sqrt{\frac{159}{502}}=.56785\] rounded

Answer 27

now i cube the result and get
\[.56785^3=.17825\]

Answer 28

and that is the ratio for the volumes.

Answer 29

in other words that is what i would multiply your larger volume to get the smaller volume

Answer 30

\[1730\times .17825=308\] rounded and that is the answer

Answer 31

Okay! I see, thank you so much!

Answer 32

yw