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 is divided into 64 equal small cubes. Before dividing the cube each face of it is coloured in different colours. How many small cubes will be formed having more than one colour ?

Directions- Two adjacent sides of a cube are coloured in red and two opposite sides to them are coloured in yellow and rest of the two sides are coloured in blue. The cube is divided into 64 small equal cubes.

How many small cubes will be formed having one side yellow and one side red necessarily ?

A big cube of side $18 \mathrm{cm}$ is divided into small cubes of side $3 \mathrm{cm}$. Before dividing the cube it is coloured in green colour.

How many cubes will be formed having only one face coloured?

A cube of  $4 \mathrm{cm}$ side is divided into $125$ small cubes. What will be the length of the side of small cube?

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

Read the following data and answers the questions that follow-
$\left(\mathrm{i}\right)$  A cuboid shaped wooden block has $6 \mathrm{cm}$length, $4 \mathrm{cm}$ breadth and $1 \mathrm{cm}$ height.
$\left(\mathrm{ii}\right)$ Two sides measuring $4 \mathrm{cm}\times 1 \mathrm{cm}$ are coloured in black.
$\left(\mathrm{iii}\right)$ Two sides measuring $6 \mathrm{cm}\times 1 \mathrm{cm}$ are coloured in red.
$\left(\mathrm{iv}\right)$ Two sides measuring $6 \mathrm{cm}\times 4 \mathrm{cm}$ are coloured in green.
$\left(\mathrm{v}\right)$ The block is divided into $6$ equal cubes of side $1 \mathrm{cm}$ (from $6 \mathrm{cm}$ side) $4$ equal cubes of side $1 \mathrm{cm}$ (from $4 \mathrm{cm}$ side).

How many small cubes will be formed?

A big cube of side $18 \mathrm{cm}$ is divided into small cubes of side $3 \mathrm{cm}$. Before dividing the cube it is coloured in green colour.

How many cubes will be formed having only two faces coloured?

How many small cubes of $1.5 \mathrm{cm}$ side can be formed from a cube of  $6 \mathrm{cm}$ side ?

A big cube of side $18 \mathrm{cm}$ is divided into small cubes of side $3 \mathrm{cm}$. Before dividing the cube it is coloured in green colour.

How many cubes will be formed having four faces coloured?

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 cuboid of length $5 \mathrm{cm},$ breadth $4 \mathrm{cm}$ and height $3 \mathrm{cm}$ is divided into small cubes. How many such small cubes can be formed?

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?

Directions- Two adjacent sides of a cube are coloured in red and two opposite sides to them are coloured in yellow and rest of the two sides are coloured in blue. The cube is divided into 64 small equal cubes.

How many small cubes will be formed having all the three colours ?

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-

Read the following data and answers the questions that follow-
$\left(\mathrm{i}\right)$  A cuboid shaped wooden block has $6 \mathrm{cm}$length, $4 \mathrm{cm}$ breadth and $1 \mathrm{cm}$ height.
$\left(\mathrm{ii}\right)$ Two sides measuring $4 \mathrm{cm}\times 1 \mathrm{cm}$ are coloured in black.
$\left(\mathrm{iii}\right)$ Two sides measuring $6 \mathrm{cm}\times 1 \mathrm{cm}$ are coloured in red.
$\left(\mathrm{iv}\right)$ Two sides measuring $6 \mathrm{cm}\times 4 \mathrm{cm}$ are coloured in green.
$\left(\mathrm{v}\right)$ The block is divided into $6$ equal cubes of side $1 \mathrm{cm}$ (from $6 \mathrm{cm}$ side) $4$ equal cubes of side $1 \mathrm{cm}$ (from $4 \mathrm{cm}$ side).

How many cubes will remain if the cubes having black and green colour are removed?

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?

A cube is divided into $27$ small cubes of $3 \mathrm{cm}$ side each. What will be the length of the side of big cube?