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CBSE 7th Standard Mathematics Visualising Solid Shapes Model Questions Papers Study Material - QB365 Set C

Published on: 31/10/2025

Question Set C

CBSE 7th Standard Mathematics Visualising Solid Shapes Model Questions Papers Study Material - QB365

Download CBSE Class 7th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 7th Standard CBSE Mathematics

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Std: 7th Standard CBSE - Mathematics

chapter: Visualising Solid Shapes - Model Questions Papers

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Questions:

Generic 2

15 x 2 = 30

(i) How are prisms and cylinders alike?
(ii) How are pyramids and cones alike?

Is it possible to have a polyhedron with any given number of faces?

Draw the front view, side view and top view of the given objects.
A dice

Find the value of [(5²)³ x 5⁴] \(\div \) 5⁷

If P = -2, then find the value of -3p² + 4p + 7.

For a pyramid there are 4 faces and 4 vertices. Find the number of edges.

Answer the following:
(a)Which pyramid is called tetrahedron?
(b)How many vertices are there in a pentagonal pyramid?

Write the number of faces, edges and vertices in the solids given below:
Triangular pyramid

Count the number of cubes in the following figures.

10.

Draw an isometric sketch of a rectangular pyramid.

11.

Draw an isometric sketch of a square pyramid.

12.

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

13.

If a cone is cut from the top horizontally, then which 2-D figure will be seen?

14.

If a cone of base radius 3 cm is placed on a cylinder of base radius 3 cm, then how many faces will the resultant figure have?

15.

Identity the nets which can be used to make cubes (cut-out copies of the nets and try it).

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Answers Key:

Generic 2

15 x 2 = 30

(i) The prisms and cylinder, both, have their base and top faces as congruent and parallel to each other. Also, a prism becomes a cylinder as the number of sides of its base becomes larger and larger.
(ii) The pyramids and cones are alike in the sense that their lateral faces meet at a point (called vertex). Also, a pyramid becomes a cone as the number of sides of its base becomes larger and larger.

Possible, only if the number of faces is greater than or equal to 4.

125

-13

For a pyramid, faces and vertices are given by
F-E+V=2
4 - E + 4 = 2 (F = 4 and V = 4)
\(\Rightarrow\) 8-E=2
\(\Rightarrow\)E=8-2=6
Hence, there are 6 edges.

(a) Triangular pyramid
(b) six

The number of faces in triangular pyramid = 4
The number of edges in triangular pyramid = 6
The number of vertices in triangular pyramid = 4

Here, the number of cubes is 32

10.