Question #9717d

1 Answer
Jan 30, 2017

9:16

Explanation:

For two similar solids

"(ratio of surface areas)=(ratio of lengths)"^2

"(ratio of volumes)=(ratio of lengths)"^3

"to tackle this problem we go from"
"the volume ratio , to length ratio then to area ratio"

let the ratio of lengths be " "l_1:l_2"

"where "l_1 < l_2

"ratio of volumes"::(27:64)

:.l_1 :l_2::root(3)(27:64)

=>l_1 :l_2::3:4

" ratio of surface areas ="(l_1:l_2)^2"

"ratio of surface areas"::(3:4)^2::9:16