Q1:

A cuboid of 3 × 4 × 5 cm³ is cut into smaller cubes. Find the minimum number of smaller cubes that can be formed?

Q2:

Find the number of cubes whose all three outer sides are painted.

Q3:

Find the number of a cube whose two sides are painted blue.

Q4:

Find the number of cubes having only one face painted.

Q5:

Find the number of cubes with no side are painted.

Q6:

What is the minimum number of smaller cubes required to form a larger cube such that when all the faces of larger cube is painted yellow, it has zero number of non-painted smaller cubes?

Q7:

Find the number of cubes which are cut twice in operation.

Q8:

How many cubes will be cut into two halves?

Q9:

Find the minimum number of cuts required which can cut a cube into 36 identical pieces.

Q10:

A mouse was stuck in a 3 × 3 × 3 cube each of volume 8 cm³. The mouse decided to cut the cubes to come out of the maze on the other side from where he entered. The mouse got confused in the middle, and he cut 24cm to reach another side face of the cube. Find the minimum length that would be enough for the mouse to come out on the opposite face.

Q11:

What is the minimum number of cuts required to cut a cube into 150 identical pieces?

Q12:

512 smaller cubes of dimension 1 cm × 1 cm are stacked together to form a larger cube, and then the cube is cut along diagonals. How many smaller cubes are cut into two pieces?

Q13:

Find the minimum number of cubes having two faces painted Green.

Q14:

How many maximum small cubes have all the three color on them.

Q15:

What is the maximum possible number of smaller cubes that have only Red and Green colors on them?