Question

The faces of the two similar cubes is 2 : 5. What is the ratio of the areas of two corresponding faces? What is the ratio f the cubes' volumes?

Answer 1

area=6side^2
volume=side^3

faces rato is 2:5

the ratio of areas is 2:5

for volumes,
legnth of 1 side=√2:√5
cube that
2√2:5√5

the ratio of volumes is 2√2:5√5