Question

A solid cube of each side 9 cm has been painted green, red and yellow on pairs of opposite faces. It is then cut into cubical block of each side 3
cms.
Question:
How many cubes have no face painted?
12
8
1
0​

Answer 1

Answer:

There are 8 cubes having one face painted red and all other faces unpainted.

Step-by-step explanation:

Each side of solid cube= 8cm

Each side of small solid cubes= 2cm

To calculate the number of smaller cubes having one face painted, we need to calculate the number of cubes present on the faces of bigger cube excluding the cubes present on edges.

Total number of cubes having one face painted and other face unpainted

= 6*{(8/2)-2}^2=6*4=24

But we need to calculate the cubes having one face painted with red  and there are only two faces painted red.

So, by symmetry

Total number of cubes having one face painted with red and other face unpainted= 24/3=8

hope it helps you ♥️♥️