When two solids are similar, the ratio of their surface areas is equal to the ratio of their corresponding linear measures squared.
Surface area of the smaller solid/Surface area of the bigger solid
=
(Length of the smaller solid/Length of the bigger solid)^2
We know that the length and the surface area of the smaller solid are 4 meters and 40 square meters, respectively. We also know that the length of the bigger solid is 6 meters. If we let S be the surface area of the bigger solid, we can substitute these values into this equation and solve for S.
Surface area of the smaller solid/Surface area of the bigger solid=(Length of the smaller solid/Length of the bigger solid)^2
