Answer:

98

Step-by-step explanation:



1. 125 small but identical cubes are put together to form a large cube. This large cube is now

painted on all six faces.

(i) How many of

III) Atleast 1 face painted ⇒

greater than or equal to 1

Cube with 1 face painted + cube with 2 side painted + cube with 3 side painted

Cube with 1 face painted will be the outermost layer of larger cube but not on the edges.

i.e. (5–2)2

= 9 cubes on 1 side

So totally 6 ×

9 = 54 cubes

Cube with 2 face painted ll be edges of the larger cube but

(5 – 2) = 3.

Since a cube has 12 edges, totally 12×

3 = 36 cubes

Cube with 3 sides painted = 8 cubes

Totally 54 + 36 + 8 = 98 cubes

Verified answer

Answer:

98



1. 125 small but identical cubes are put together to form a large cube. This large cube is now

painted on all six faces.

(i) How many of

III) Atleast 1 face painted ⇒

greater than or equal to 1

Cube with 1 face painted + cube with 2 side painted + cube with 3 side painted

Cube with 1 face painted will be the outermost layer of larger cube but not on the edges.

i.e. (5–2)2

= 9 cubes on 1 side

So totally 6 ×

9 = 54 cubes

Cube with 2 face painted ll be edges of the larger cube but

(5 – 2) = 3.

Since a cube has 12 edges, totally 12×

3 = 36 cubes

Cube with 3 sides painted = 8 cubes

Totally 54 + 36 + 8 = 98 cubes