Question

64 unit cubes are glued together to make
a big cube. The exterior of the big cube is
painted red in colour. Find how many of the
64 unit cubes would have been
(a) painted red on only one of their faces?
(b) painted red on two of their faces?
(c) painted red on three of their faces?
(d) without red paint on their faces?​

Answer 1

Ask to your maths teacher

Answer 2

a) The number of cubes painted on only one side = 32

b) The number of cubes painted on only two sides = 16

c) The number cubes painted on three sides = 8

d) The number of cubes not painted = 8

The 64 unit cubes when glued together to form a single cube , the volume of the big cube is equal to 64 unit³.

Let the side of big cube be a.

=> a³ = 64

=> a = 4 units

The side of big cube is 4 units.