Question

Two cubes have their volumes in ratio 1: 27 . Find the ratio of their surface areas.

Answer 1

Answer:

3:27

Step-by-step explanation:

We are given that the ratio of their volumes is 1:27 which means acc. to formula l^3/l^3=1/27 and if we take cube root on both sides we get l/l=1/3

So,now their surface area. The formula for surface area of cube is 6l^2. So if we take ratio it will be 6l^2/6l^2

We already know the value of l. So by substituting it we get 6(1)^2/6(3)^2

=6/54

=3/27

So the ratio is 3:27