SSC MTS 2019 PYQ — Question 62

SSC MTS Previous Year - 02 August 2019 - Shift 1 • Quantitative Aptitude • Q62

If the volumes of two cubes are in the ratio of 64 : 125, then what is the ratio of their total surface areas?

Show answer & explanation

Correct answer: C

Explanation

Correct Answer is option 3 i.e. 16 : 25

Understanding

Application

Given:

Ratio of volumes of cubes = 64 : 125

Suppose the sides of 2 cubes are x and y;

x3 : y3 = 64 : 125

⇒ x : y = 4 : 5

Then,

Ratio of their total surface areas

= 6x2 : 6y2

= 16 : 25