A cube of side 4 cm is cut into 1 cm cubes. What is the ratio of the surface areas of the original cubes and cut-out cubes?

(a) 1 : 2 (b) 1 : 3 (c) 1 : 4 (d) 1 : 6

Question

A cube of side 4 cm is cut into 1 cm cubes What is the ratio of the surface areas of the original cubes and cutout cubes a 1 2 b 1 3 c 1 4 d 1 6

Accepted Answer

The correct answer is option c 1 4 Explanation Given The cube side is 4cm The side of cube 4cm is cut into small cubes in which each of 1 cm Therefore the total number of cubes 4 x 16 64 cubes Thus the number of cutout cubes 641 Now the surface area of the cutout cubes c x 1 cm2 The surface area of the original cube 6 x 42 Hence the required ratio obtained is 6 x 42 64 x 6 1 4

NCERT Exemplar Solutions Class 8 Mathematics Solutions for Mensuration - Exercise in Chapter 11 - Mensuration