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Visualizing Solid Shapes

Question

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Match the nets with appropriate solids:

(a)

(i)

(b)

(ii)

(c)

(iii)

(d)

(iv)

Solution

Consider net (i). It can be folded as follows.

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It is a net of a pyramid. Hence, (d) is the correct matching option.

Consider net (ii). It can be folded as follows.

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It is a net of a cube. Hence, (a) is the correct matching option.

Consider net (iii). It can be folded as follows.

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It is a net of a cylinder. Hence, (b) is the correct matching option.

Consider net (iv). It can be folded as follows.

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It is a net of a cone. Hence, (c) is the correct matching option.

Some More Questions From Visualizing Solid Shapes Chapter

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 each one of the given shapes:

(i)

(ii)

(iii)

(iv)

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 for each one of the given isometric shapes:

Give (i) an oblique sketch and (ii) an isometric sketch for each of the following:
(a) A cuboid of dimensions 5 cm, 3 cm and 2 cm. (Is your sketch unique?)
(b) A cube with an edge 4 cm long.

What cross-sections do you get when you give a
(i) vertical cut (ii) horizontal cut
to the following solids?
(a) A brick (b) A round apple (c) A die
(d) A circular pipe (e) An ice cream cone

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

Here are the shadows of some 3−D objects, when seen under the lamp of an overhead projector. Identify the solids (s) that match each shadow. (There may be multiple answers for these!)

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