# What will be the Ratio of Their Surface Areas? If

The ratio of volumes of two cubes is 8 : 125. The ratio of their surface areas is

- 4 : 25
- 2 : 75
- 2 : 15
- 4 : 15

**Answer: (1) 4 : 25**

**Explanation:-**

The ratio of volumes of two cubes = 8 : 125.

**Formula-**

** The volume of the cube = a ^{3}**

**Where, a – side of a cube.**

Then, a

_{1}

^{3}/a

_{2}

^{3}= 8/125

Cube root of both side,

a

_{1}/a

_{2}= 2/5

Thus, ratio of side = 2 : 5

**Formula-**

**The surface area of a cube = 6 a**

^{2}Then, the ratio of their surface area = 6 (2)

^{2}/6 (5)

^{2}

= 4/25

Hence, the answer is (1) 4 : 25.