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

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:
(i) A solid having no vertex and no edge is a sphere.
(ii) A solid that has congruent and parallel polygons as top and bottom faces
and all other faces rectangular is known as a prism.
(iii) A pyramid having 4 equilateral triangles as its faces is known as a tetrahedron.
(iv) A solid having 3 faces (one curved and two circulars),
no vertex and two curved edges are known as a cylinder.
(v) A Solis’having a circular base and one vertex is called a cone.
(vi) A triangular prism has 5 faces, 9 edges, and 6 vertices.
(vii) A triangular pyramid has 4 faces, 6 edges, and 4 vertices.
(viii) A square pyramid has 5 faces, 8 edges, and 5 vertices.
(ix) The base of a triangular pyramid is a triangle.
(x) Out of 5 faces of a triangular prism, 3 are rectangle and 2 are triangles.
(xi) Out of 5 faces of a square pyramid, 4 are triangle and 1 is/are squares.
(xii) Out of 5 faces of a rectangular pyramid, 4 are triangles and the base is a rectangle.
(xiii) A net 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 5.

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.
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 15 Visualising Solid Shapes Objective Type Questions Q6.1
Solution:
(i) The faces of a prism are triangular. (False)
Correct:
Faces are rectangular.
(ii) A cube can be treated as a prism. (True)
(iii) A pyramid has only one vertex. (False)
Correct:
It has three or more than three.
(iv) All the faces, except the base, of a square pyramid are triangular. (True)
(v) A tetrahedron has 3 rectangular faces and 1 rectangle face. (False)
Correct:
It has triangular faces.
(vi) A square pyramid has 5 faces and one vertex. (False)
Correct:
It has five vertices, not one.
(vii) A cone has one vertex, two faces, and one curved edge. (True)
(viii) The shadow of a 3-D object is a 2-D figure. (True)
(ix) A cube can cast a shadow in the shape of a rectangle. (True)
(x) A cube can cast a shadow in the shape of a hexagon. (False)
(xi) In an isometric sketch, the line segments of different lengths
can represent the sides of a cube. (False)
Correct:
A cube has equal length.
(xii) In an oblique sketch of a cuboid, the size of the opposite faces
must be different. (False)
(xiii) The top, front and side views of a sphere are different. (False)
Correct:
All are equal.
(xiv) The adjoining net is of a hexagonal pyramid. (True)

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:
A triangular prism has 6 vertices and 9 edges. (b)

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:
A square pyramid has 5 vertices and 5 faces. (d)

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:
A solid having 4 (plane) faces,
4 vertices and 6 edges is called rectangular pyramid. (c)

Question 6.
The number of cubes in the given structure is
(a) 12
(b) 10
(c) 9
(d) 8
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 15 Visualising Solid Shapes Objective Type Questions mulQ6.1
Solution:
The number of cubes in the given structure is 12. (a)

Question 7.
An isometric sheet is made up of dots forming
(a) squares
(b) rectangles
(c) right-angled triangles
(d) equilateral triangles
Solution:
An isometric sheet is made up of dots
forming equilateral triangles. (d)

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

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 15 Visualising Solid Shapes Objective Type Questions Q8.1

Question 8.
The number of unit cubes in the given structure is
(a) 13
(b) 20
(c) 21
(d) 22
Solution:
The number of unit cubes in the given structure is 21. (c)

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:
The number of unit cubes to be added to make a cuboid of dimensions
4 unit × 4 unit × 2 unit is 4 × 4 × 2 = 32 – 21 = 11 (a)

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:
If the structure is painted on the surface everywhere,
then the number of unit cubes ‘ having no face painted is 1. (b)

Question 11.
The side view of the given structure is
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 15 Visualising Solid Shapes Objective Type Questions Q11.1
Solution:
The side view of the given structure is (c).

ML Aggarwal Class 7 Solutions for ICSE Maths

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