Question #9717d Geometry Perimeter, Area, and Volume Volume of Solids 1 Answer sjc 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 Answer link Related questions What is the volume v of a sphere of radius r? How do I find the volume of a sphere in terms of pi? How to find the volume of a sphere using integration? How do you find the volume of a square pyramid given the formula V=s^2(h)/3 when s=4inches... What is the surface area to volume ratio of a sphere? The total area of a cube is expressed by A(x) = 24x^2+24x+6. What is the volume of this cube? If the volume of a sphere doubles, what is the ratio of the surface area of the new, larger... Question #497d1 Question #6b9d0 If 9 cubic blocks with a side length of 1/3 inches are needed to find the volume of a cube,... See all questions in Volume of Solids Impact of this question 1586 views around the world You can reuse this answer Creative Commons License