Cubes

Which of the four cubes pictured below are correct view when the six squares are folded (in clockwise direction) in to a cube?

A cube which is painted red on the outer surface is of $2 \mathrm{inches}$ height, $2 \mathrm{inches}$ wide and $2 \mathrm{inches}$ across. If it is cut into one-inch cubes as shown by dotted lines, indicate the number of cubes which are red on three sides?

A cube which is painted red on the outer surface is of $2 \mathrm{inches}$ height, $2 \mathrm{inches}$ wide and $2 \mathrm{inches}$ across. If it is cut into one-inch cubes as shown by dotted lines, indicate the number of cubes which are red on two sides?

The six faces of dice have been coloured with six different colours. Tell which colour will appear on top face if the bottom face has red colour?

The number of vertices in a cube is -

If three cubes of metal whose edges are $6 cm$, $8 cm$ and $10 cm$ are melted and made into a single cube, then the edge of the new cube so formed will be-

If $125$ small identical cubes are joined to form a big cube and all the six faces of the bigger cube are coloured with same colour then how many cubes would have only one coloured face?

Choose the box that is similar to the box formed from the given sheet of paper (X).

The sheet of paper shown in the figure given on the top, is folded to form a box. Choose from amongst the alternatives (A), (B), (C) and (D), the boxes that are similar to the box that will be formed.

A cube is made by folding the given sheet. In the cube so formed, what would be the letter on the face opposite the face showing the letter 'A'? 

Select the boxes that can be formed by folding the given sheet along the lines.

Lets say you have three identical cubes which you then join together so that each cube is covering atleast one face of another cube. How many faces of the three cubes are visible now?

Answer the following question on the basis of the given information.

A wooden cube of $8$ inches is painted in a fixed pattern:

a. The two opposite faces in front and back are painted in purple colour.

b. The two opposite faces on the sides are painted in orange colour.

c. The remaining top and bottom are painted in green colour.

The cube is cut into smaller cubes of $2$ inches.

How many painted cubes are there which does not have all the three colours together?

Answer the following question on the basis of the given information.

A wooden cube of$8$  inches is painted in a fixed pattern:

a. The two opposite faces in front and back are painted in purple colour.

b. The two opposite faces on the sides are painted in orange colour.

c. The remaining top and bottom are painted in green colour.

The cube is cut into smaller cubes of$2$  inches.

How many cubes have only two faces painted?

Answer the following question on the basis of the given information.

A wooden cube of $8$ inches is painted in a fixed pattern:

a. The two opposite faces in front and back are painted in purple colour.

b. The two opposite faces on the sides are painted in orange colour.

c. The remaining top and bottom are painted in green colour.

The cube is cut into smaller cubes of $2$ inches.

How many cubes have at least one face painted with purple ?

Answer the following question on the basis of the given information.

A wooden cube of  $8$ inches is painted in a fixed pattern:

a. The two opposite faces in front and back are painted in purple colour.

b. The two opposite faces on the sides are painted in orange colour.

c. The remaining top and bottom are painted in green colour.

The cube is cut into smaller cubes of $2$  inches.

How many cubes are there with three faces painted? 

Answer the following question on the basis of the given information.

A wooden cube of $8$ inches is painted in a fixed pattern:

a. The two opposite faces in front and back are painted in purple colour.

b. The two opposite faces on the sides are painted in orange colour.

c. The remaining top and bottom are painted in green colour.

The cube is cut into smaller cubes of$$$2$  inches.

How many cubes are there which have no face painted?

A cuboid of dimension $3\times 4\times 1$ is painted golden on all of its surfaces. Then it is cut into smaller cubes of dimension $1\times 1\times 1$. How many cubes at least have three color sides?

A cube of side 5 cm is painted pink on any of its 3 adjacent surfaces then the cube is cut into smaller cubes of dimensions $1\times 1\times 1$. How many cubes will have 3 pink color sides?

A cube of side 8 cm is painted purple on all of its surfaces. Then the cube is cut into smaller cubes of dimension $2\times 2\times 2$.

How many cubes will have three sides painted?