## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 15 Visualising Solid Shapes Objective Type Questions

**Mental Maths**

Question 1.

Fill in the blanks:

(i) A solid having no vertex and no edge is a ………..

(ii) A solid that has congruent and parallel polygons as top and bottom faces and all other faces rectangular is known as ………

(iii) A pyramid having 4 equilateral triangles as its faces is known as ………

(iv) A solid having 3 faces (one curved and two circulars), no vertex and two curved edges are known as ……..

(v) A solid having a circular base and one vertex is called a ………

(vi) A triangular prism has ……… faces, ………… edges and ………. vertices.

(vii) A triangular pyramid has ……… faces, ………. edges and ……… vertices.

(viii) A square pyramid has ……… faces, ……….. edges and ……… vertices.

(ix) The base of a triangular pyramid is a ………

(x) Out of ……….. faces of a triangular prism, ……… are rectangle and ……….. are triangles.

(xi) Out of ……….. faces of a square pyramid, ………. are a triangle and ………. is/are squares.

(xii) Out of ………. faces of a rectangular pyramid, ………. are triangles and the base is a ……….

(xiii) A ……….. is a sort of skeleton – outline in 2-D, which on folding results in a 3-D shape.

(xiv) If the sum of numbers on the two dice thrown together is 9, then the sum of the numbers opposite to these faces is ……….

Solution:

Question 2.

State whether the following statements are true (T) or false (F):

(i) The faces of a prism are triangular.

(ii) A cube can be treated as a prism.

(iii) A pyramid has only one vertex.

(iv) All the faces, except the base, of a square pyramid are triangular.

(v) A tetrahedron has 3 rectangular faces and 1 rectangle face.

(vi) A square pyramid has 5 faces and one vertex.

(vii) A cone has one vertex, two faces, and one curved edge.

(viii)The shadow of a 3-D object is a 2-D figure.

(ix) A cube can cast a shadow in the shape of a rectangle.

(x) A cube can cast a shadow in the shape of a hexagon.

(xi) In an isometric sketch, the line segments of different lengths can represent the sides of a cube.

(xii) In an oblique sketch of a cuboid, the size of the opposite faces must be different.

(xiii) The top, front, and side views of a sphere are different.

(xiv) The adjoining net is of a hexagonal pyramid.

Solution:

**Multiple Choice Questions**

Choose the correct answer from the given four options (3 to 11):

Question 3.

A triangular prism has

(a) 4 vertices and 6 edges

(b) 6 vertices and 9 edges

(c) 6 vertices and 6 edges

(d) 9 vertices and 6 edges

Solution:

Question 4.

A square pyramid has

(a) 4 vertices and 4 faces

(b) 4 vertices and 5 faces

(c) 5 vertices and 4 faces

(d) 5 vertices and 5 faces

Solution:

Question 5.

A solid having 4 (plane) faces, 4 vertices and 6 edges is called a

(a) triangular prims

(b) rectangular prism

(c) triangular pyramid

(d) rectangular pyramid

Solution:

Question 6.

The number of cubes in the given structure is

(a) 12

(b) 10

(c) 9

(d) 8

Solution:

Question 7.

An isometric sheet is made up of dots forming

(a) squares

(b) rectangles

(c) right-angled triangles

(d) equilateral triangles

Solution:

**Question numbers 8 to 11 are based on the given figure in which unit cubes are put together to form a structure as shown:**

Question 8.

The number of unit cubes in the given structure is

(a) 13

(b) 20

(c) 21

(d) 22

Solution:

Question 9.

The number of unit cubes to be added to make a cuboid of dimensions 4 unit × 4 unit × 2 unit is

(a) 11

(b) 12

(c) 13

(d) 14

Solution:

Question 10.

If the structure is painted on the surface everywhere, then the number of unit cubes having no face painted is

(a) 0

(b) 1

(c) 2

(d) 11

Solution:

Question 11.

The side view of the given structure is

Solution: