25/15 = 5/3
We got that the dimensions of the larger pyramid is larger by a scale factor of 53 than the dimensions of the smaller pyramid. Next, let's recall the relationship between the surface areas of similar solids.
Surface Area of Similar Solids
If Solid X is similar to Solid Y by a scale factor, then the surface area of X is equal to the surface area of Y times the square of the scale factor.
Therefore, to get the surface area of the larger pyramid, we need to multiply the surface area of the smaller pyramid by 53 raised to the second power.
S.A. of the larger pyramid
=
( 5/3 )^2 ( S.A. of the smaller pyramid)
We can rewrite this equation to get the ratio of the surface area of the larger pyramid to the smaller pyramid.
S.A. of the larger pyramid = (5/3 )^2 (S.A. of the smaller pyramid)
