Answer to Question #168642 in Geometry for Adam

Question

Solid A and solid B are similar. The surface area of solid A is 675 m² and the surface area of solid B is 432 m². If the volume of solid B is 960 m³, find the volume of solid A.

Answer 1

V_b = the volume of solid B is =960m³

S_a = the surface area of A =675 m²

S_b = the surface area of B=432 m²

volume

= Area * Hight (h)

S_b * h = 960 m ³

^h=

k^2= S_a / S_b =675/432=1.56

k=1.25

h’=hk

h’=2.22*1.25

h’=2.775

V_a= S_a*h’=675*2.775

S_a=1873.125 m³