Answer:
Area and Volume of Similar Solids
Two solids are similar if and only if they are the same type of solid and their corresponding linear measures (radii, heights, base lengths, etc.) are proportional.
Surface Area
Recall that when two shapes are similar, the ratio of the area is the square of the scale factor.
For example, the two rectangles above are similar because their sides are in a ratio of 5:8. The area of the larger rectangle is 8(16)=128 units2 and the area of the smaller rectangle is 5(10)=50 units2. If we compare the areas in a ratio, it is 50:128 = 25:64 = 52:82.
Surface Area Ratio: If two solids are similar with a scale factor of ab, then the surface areas are in a ratio of (ab)2.
Step-by-step explanation:
