NCERT solutions for Mathematics [English] Class 7 chapter 13 - Visualising Solid Shapes [Latest edition]

Identify the net which can be used to make cube (cut out copies of the net and try it):

Identify the net which can be used to make cube (cut out copies of the net and try it):

Identify the net which can be used to make cube (cut out copies of the net and try it):

Identify the net which can be used to make cube (cut out copies of the net and try it):

Identify the net which can be used to make cube (cut out copies of the net and try it):

Identify the net which can be used to make cube (cut out copies of the net and try it):

Dice are cubes with dots on each face. Opposite faces of a die always have a total of seven dots on them.

Here are two nets to make dice (cubes); the numbers inserted in each square indicate the number of dots in that box.

Insert suitable numbers in the blanks, remembering that the number on the
opposite faces should total to 7.

Can this be a net for a die?

Explain you answer.

Here is an incomplete net for making a cube. Complete it in at least two different ways. Remember that a cube has six faces. How many are there in the net here? (Give two separate diagrams. If you like, you may use a squared sheet for easy manipulation.)

Match the nets with appropriate solids:

(a)		(i)
(b)		(ii)
(c)		(iii)
(d)		(iv)

Use isometric dot paper and make an isometric sketch for the given shape:

Use isometric dot paper and make an isometric sketch of the given shape:

Use isometric dot paper and make an isometric sketch of the given shape:

Use isometric dot paper and make an isometric sketch of the given shape:

The dimensions of a cuboid are 5 cm, 3 cm and 2 cm. Draw three different isometric sketches of this cuboid.

Three cubes each with 2 cm edge are placed side by side to form a cuboid. Sketch an oblique or isometric sketch of this cuboid.

Make an oblique sketch of the given isometric shape:

Make an oblique sketch of the given isometric shape:

Give an oblique sketch of the following:

A cuboid of dimensions 5 cm, 3 cm and 2 cm. (Is your sketch unique?)

Give an oblique sketch of the following:

A cube with an edge 4 cm long.

Give an isometric sketch for the following:

A cuboid of dimensions 5 cm, 3 cm and 2 cm. (Is your sketch unique?)

Give an isometric sketch for the following:

A cube with an edge 4 cm long.

What cross-sections do you get when you give a vertical cut and horizontal cut to the given solids a brick.

What cross-sections do you get when you give a vertical cut and horizontal cut to the given solid a round apple.

What cross-sections do you get when you give a vertical cut and horizontal cut to the given solid a die.

What cross-sections do you get when you give a vertical cut and horizontal cut to the given solid a circular pipe.

What cross-sections do you get when you give a vertical cut and horizontal cut to the given solid a ice cream cone.

A bulb is kept burning just right above the following solid. Name the shape of the shadow obtained in case. Attempt to give a rough sketch of the shadow. (You may try to experiment first and then answer these question).

      A ball

A bulb is kept burning just right above the following solid. Name the shape of the shadow obtained in case. Attempt to give a rough sketch of the shadow. (You may try to experiment first and then answer these question).

           A cylindrical pipe

A bulb is kept burning just right above the following solid. Name the shape of the shadow obtained in case. Attempt to give a rough sketch of the shadow. (You may try to experiment first and then answer these question).

              A book

Here are the shadow of some 3-D object, when seen under the lamp of an overhead projector. Identify the solid(s) that match shadow. (There may be multiple answer for these!)

      A circle

Here are the shadow of some 3-D object, when seen under the lamp of an overhead projector. Identify the solid(s) that match shadow. (There may be multiple answer for these!)

      A square

Here are the shadow of some 3-D object, when seen under the lamp of an overhead projector. Identify the solid(s) that match shadow. (There may be multiple answer for these!)

    A triangle

Here are the shadow of some 3-D object, when seen under the lamp of an overhead projector. Identify the solid (s) that match shadow. (There may be multiple answer for these!)

           A rectangle

Examine if the following is true statement:

The cube can cast a shadow in the shape of a rectangle.

Examine if the following is true statement:

The cube can cast a shadow in the shape of a hexagon.