Question

Two similar solid statues are 20 cm and 30 cm tall. If the shorter one weighs 6 kg, how much will the taller one weigh?

Answer 1

weigh = volume

volume of A : volume of B = (length of A) ^3 : (length of B)^3

6:x=20^3:30^3
6/x = 20^3 / 30^3
solve this to find x

Answer 2

\[6/x =(2/3)^3\]
\[6/(2/3)^3\] =x
x =20.25

Answer 3

how did you know to put 8000/27000?

Answer 4

instead of 27,000/8,000

Answer 5

yeah true, but you can easuly reverse it and get 9kg as answer

Answer 6

oh so it could be either one?

Answer 7

my book has 20.25

Answer 8

take a cube as an example,
(length of A)^3 = volume of A
(length of B)^3 = volume of B
volume of A/ volume of B = (length of A)^3 / (length of B)^3
so, it cannot be reversed!