Question

Comprehension (Question 04) A solid cube of 12 cm has been painted green in two adjacent sides, yellow in other two adjacent sides and blue in two opposite sides. It is then cut into cubical blocks of side 4 cm each. QUESTION 04 a Select the correct answer How many cubes have no face painted? G 1 O 8 4 0 Type here to search O 2​

Answer 1

Step-by-step explanation:

Only one central cube will have no face painted.

Answer 2

Given:

The edge length of larger cube= 12cm

Color on adjacent sides = Green and yellow

Color on opposite side= Blue

The edge length of smaller cubes = 4cm

To find:

Number of smaller cubes with zero faces painted

Solution:

Let the number of smaller cubes x.

Since volume is conserved before and after cutting,

L³ = x X l³

or x = 12³ / 4³  = 27

So the larger cube is cut like a Rubix cube.

26 cubes are on the faces and 1 in the center. So, the center cube is the only cube having 0 painted faces.

Hence, there is only one small cube with 0 painted faces.