Exercise 15.2 Visualizing Solid Shapes NCERT Solutions Class 7

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Chapter 15 Ex.15.2 Question 1

Use isometric dot paper and make an isometric sketch for each one of the given shapes:

Solution

Video Solution

What is known?

Oblique sketch

What is unknown?

Isometric sketch

Reasoning:

See the figure carefully and then draw it on isometric dot paper.

Steps:

Chapter 15 Ex.15.2 Question 2

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

Solution

Video Solution

What is known?

Dimensions of a cuboid.

What is unknown?

\(3\) different isometric sketches of this cuboid.

Reasoning:

Draw \(3\) rough sketch of cuboid having dimensions of \(5\,\rm{cm}, 2\,\rm{cm}\) and \(3\, \rm{cm}\) then draw it on isometric dot paper.

Steps:

The dimensions of cuboid are \(5\) cm, \(3\) cm and \(2\) cm:

Three different isometric sketches of given cuboid are below:

Chapter 15 Ex.15.2 Question 3

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.

Solution

Video Solution

What is known?

Three cubes each with \(2 \,\rm{cm}\) edge are placed side by side to form a cuboid.

What is unknown?

Oblique or isometric sketch of this cuboid.

Reasoning:

Draw rough sketch of this cuboid and then draw oblique and isometric sketch.

Steps:

Length of three each cube edge \(=\) \(2\) cm

Placing three cubes side by side, then the dimension of cuboid \( =  6\rm{cm}×2 \rm{cm}×2 \rm{cm}\)

Chapter 15 Ex.15.2 Question 4

Make an oblique sketch for each one of the given isometric shapes:

Solution

Video Solution

What is known?

isometric sketch

What is unknown?

Oblique sketch

Reasoning:

See the figure carefully and then draw an oblique sketch of these figures.

Steps:

Below are the oblique sketches of given isometric shapes:

Chapter 15 Ex.15.2 Question 5

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.

An isometric sheet is attached at the end of the book. You could try to make on it some cubes or cuboids of dimensions specified by your friend.

Solution

Video Solution

What is known?

Dimensions of the cube and cuboid.

What is unknown?

Oblique and isometric sketch of cube and cuboid.

Reasoning:

First draw a rough sketch then draw oblique and isometric sketch for cube and cuboid.

Steps:

a) oblique and isometric sketch for a cuboid of dimensions \(5\) cm, \(3\) cm and \(2\) cm

b) oblique and isometric sketch for a cube with  \(4\) cm length

  
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