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CBSE 7th Standard Mathematics Visualising Solid Shapes Important Questions And Answers Study Material - QB365 Set C

Published on: 31/10/2025

Question Set C

CBSE 7th Standard Mathematics Visualising Solid Shapes Important Questions And Answers Study Material - QB365

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Std: 7th Standard CBSE - Mathematics

chapter: Visualising Solid Shapes - Important Questions And Answers

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Questions:

Generic 5

10 x 5 = 50

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

Draw the correct solid shape with the help of the given net.

In the following figure,

(i) Which edge is the intersection of faces EFGH and EFBA?
(ii) Which faces intersected at edge FB?
(iii) Which three faces form the vertex A?
(iv) Which vertex is formed by the faces ABCD, ADHE and CDHG?
(v) Give all the edges that are parallel to edge AB.
(vi) Give the edges that are neither parallel nor perpendicular to edge BC.
(vii) Give all the edges that are perpendicular to edge AB.

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

The net given below in figure can be used to make a cube.
(i) Which edge meets AN?
(ii) Which edge meets DE?

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

Draw a net of a cuboid having same breadth and height but length double the breadth

Draw the top, side and front views of the solids given below in figures

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.

(i) EF (ii) ABFE, BFGC (iii) ABFE, ABCD, ADHE (iv) D (v) CD, EF, GH (vi) AE, EF, GH, HD (vii) AE, BF, AD, BC

The net of such square pyramid will be

(i) The given net of a cube shows edge GH meets edge AN.
(ii) The given net of a cube shows, DC meets DE edge.

(i) Net for triangular prism

(ii) Net for tetrahedron,

(iii) Net for cuboid

Required net of a cuboid will be

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.