 # RD Sharma Solutions for Class 7 Maths Chapter 19 Visualising Solid Shapes

The PDF of RD Sharma Solutions for Class 7 Maths Chapter 19 Visualising Solid Shapes are downloaded from the given links. Class 7 is a stage where several new topics are introduced. Our experts formulate RD Sharma Solutions to help students in their exam preparation to achieve excellent marks in Maths. RD Sharma Solutions for Class 7 help students to get a good score in the examinations. It also provides extensive knowledge about the subject, as Class 7 builds a foundation in their academic career. The solutions are stepwise and detailed to make learning easy for students. Let us have a look at some important topics being discussed in this chapter.

• One-dimensional figures
• Two-dimensional figures
• Three-dimensional figure
• Faces, Edges and vertices of
• Cube
• Cuboid
• Pyramid
• Cylinder
• Cone
• sphere
• Nets for building 3D – Shapes
• Euler’s formula

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Exercise 19.1 Page No: 19.3

1. Complete the following table and verify Euler’s formula in each case. Solution: (i) We know that Euler’s formula is (F – E + V)

(F – E + V) = (6 – 12 + 8) = 2

Hence Euler’s formula verified

(ii) We know that Euler’s formula is (F – E + V)

(F – E + V) = (4 – E + 4) = 2.

E = 6

Hence Euler’s formula verified

(iii) We know that Euler’s formula is (F – E + V)

From the figure,

(F – E + V) = (9 – 16 + 9) = 2.

Hence Euler’s formula verified

(iv) We know that Euler’s formula is (F – E + V)

From the figure,

(F – E + V) = (7 – 15 + 10) = 2.

Hence Euler’s formula verified

2. Give three examples from our daily life which are in the form of

(i) A cone

(ii) A sphere

(iii) A cuboid

(iv) A cylinder

(v) A pyramid.

Solution:

(i) Examples for Cone: Ice-cream cone, birthday cap

(ii) Examples of Sphere: Football, a round apple, an orange

(iii) Examples of Cuboid: dice, duster, book, rectangular box

(iv) Examples of Cylinder: circular pipe, glass, circular pole, gas cylinder

(v) Examples for Pyramid: Christmas tree, prism

Exercise 19.2 Page No: 19.5

1. Match the following nets with appropriate solids: Solution:

(a) → (ii)

(b) → (iii)

(c) → (iv)

(d) → (i)

2. Identify the nets which can be used to make cubes (cut-out the nets and try it): Solution:

Only (ii), (iv) and (vi) form a cube.

3. Can the following be a net for a die? Explain your answer. Solution:

We know that in a die, the sum of the number of opposite faces of a die is 7. In the given figure, it is not possible to get the sum as 7. Hence the given net is not suitable for a die.

4. Out of the following four nets there are two correct nets to make a tetrahedron. Identify them. Solution:

For making a tetrahedron, only (i) and (iii) are suitable nets.

5. Here is an incomplete net for making a cube. Complete it in at least two different ways. Solution: 