If the scale factor of two similar solids is 3 : 11, what is the ratio of their corresponding areas? What is the ratio of their corresponding volumes?

Question

mathmate · Answer

Areas are proportional to the square of the ratios, and volumes, cubes.

Example:
scale factor:  2:5
ratio of areas:  2^2:5^2 =4:25
ratio of volumes : 2^3 : 5^3 = 8 : 125

This is because for areas, we multiply together two dimensional units, and for volumes, three.

mayankdevnani · Answer

Recall that if the linear dimensions of two similar solids are in ratio a:b, then their surface areas are in ratio a^2:b^2 and their volumes are in ratio a^3:b^3...

Since the side lengths of two similar solids are in ratio 3:7, their volumes are in ratio 3^3:11^3 = 27:1331.....  ok       @sue101

anonymous · Answer

ok thanks!!