We will use the fact that these prisms are similar to find the suface area of the smaller solid. 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
=
(Side of the smaller solid/Side of the bigger solid)^2
We know that the side and the surface area of the bigger solid are 8 meters and 608 square meters, respectively. We also know that the side of the smaller solid is 5 meters. If we let S be the surface area of the smaller solid, we can substitute these values into the equation and solve for S.
Surface area of the smaller solid/Surface area of the bigger solid=(Side of the smaller solid/Side of the bigger solid)^2
