If the volumes of two cubes are in the ratio of 64 : 125, then what is the ratio of their total surface areas?
Answer & explanation
Correct answer: option 3
We know that,
Volume of cube = (side)3
Total surface area of a cube = 6(side)2
Let the edge of two cubes be a and b respectively
Now,
a3 : b3 = 64 : 125
a : b = 4 : 5
Ratio of total surface area = 6a2 : 6b2 = 42 : 52 = 16 : 25