If the ratio of volume of two cubes is 64 : 27, then find the ratio of their surface areas :
Answer & explanation
Correct answer: option 4
Ratio of volume of cubes = (edge1)³ : (edge2)³ = 64 : 27
Ratio of radii = \(\sqrt[3]{64}\) : \(\sqrt[3]{27}\) = 4 : 3
Ratio of surface area = 6(edge1)² : 6(edge2)² = (4)² : (3)² = 16 : 9