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CBSE 7th Standard Mathematics Visualising Solid Shapes Sample Question Papers Study Material - QB365 Set A

Published on: 31/10/2025

Question Set A

CBSE 7th Standard Mathematics Visualising Solid Shapes Sample Question Papers Study Material - QB365

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Std: 7th Standard CBSE - Mathematics

chapter: Visualising Solid Shapes - Sample Question Papers

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Questions:

Generic 5

10 x 5 = 50

Can a polyhedron have 10 faces, 20 edges and 15 vertices?

Using Euler's formula find the unknown.

	(i)	(ii)	(iii)
Faces	?	5	20
Vertices	6	?	12
Edges	12	9	?

Fill the correct symbol >, =, < in the following blanks.
(a) Faces of pyramid ----- Vertices of the pyramid.
(b) Faces of pyramid ----- Edge of the base
(c Edges on the base of a tetrahedron ------ Faces of a tetrahedron.

Draw the net of a square pyramid with base as square of side 4 cm and slant edges 6 cm.

Draw the net of triangular pyramid with base as equilateral triangle of side 3 cm and slant edge 5 cm.

Draw a net of the solid given in the figure

Draw the nets of the followings:
(i) Triangular prism (ii) Tetrahedron (iii) Cuboid

Draw the top, the front and the side views of the following solid figure made up of cubes.

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

10.

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

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Answers Key:

Generic 5

10 x 5 = 50

Here F = 10
E = 20
V = 15
So, F + V = 10 + 15 = 25
E + 2 = 20 + 2 = 22
\(\because\) F + V \(\neq \) E + 2
\(\therefore\) Such a polyhedron is not possible.

F + V = E + 2
\(\Rightarrow\) F + 6 = 12 + 2
\(\Rightarrow\) F + 6 = 14
\(\Rightarrow\) F = 14 - 6 = 8
(ii) F + V = E + 2
\(\Rightarrow\) 5 + V = 9 + 2
\(\Rightarrow\) 5 + V = 11
\(\Rightarrow\) V = 11 - 5 = 6
(iii) F + V = E + 2
\(\Rightarrow\) 20 + 12 = E + 2
\(\Rightarrow\) 32 = E + 2
\(\Rightarrow\) E = 32 - 2
\(\Rightarrow\) E = 30

(a) = (b) > (b) <

The net of such square pyramid will be

The net of such triangular pyramid will be

The net of the given solid figure will be

(i) Net for triangular prism

(ii) Net for tetrahedron,

(iii) Net for cuboid

For the given figure:

An isometric sketch of a cuboid formed by placing three cubes with 2 ern edge side by side is given below:

Then, length of cuboid = 2 + 2 + 2 = 6 cm
Breadth of cuboid = 2 cm
and height of cuboid = 2 cm
Also, the oblique sketch of this cuboid is given below:

10.

Given, dimensions of a cuboid are 5 cm, 3 cm and 2 cm. Three different isometric sketches of cuboid are as follow:
(i) When length and height of front face are 5 cm and 3 cm, respectively.

(ii) When length and height of front face are 2 cm and 5 cm, respectively.

(iii) When length and height of front face are 3 cm and 5 cm, respectively.