Visualising Solid Shapes Class-7 ML Aggarwal ICSE Mathematics Solutions Chapter-15. We provide step by step Solutions of Exercise / lesson-15 Visualising Solid Shapes ICSE Class-7th  ML  Aggarwal Maths.

Our Solutions contain all type Questions with Exe-15.1 , Exe-15.2,  Exe-15.3, Objective Type Questions ( including Mental Maths Multiple Choice Questions ) and Check Your Progress to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-7 Mathematics.

## Visualising Solid Shapes Class-7 ML Aggarwal ICSE Mathematics Solutions Chapter-15

–: Select Topic :–

Exe 15.1 ,

Exe-15.2,

Exe-15.3,

Objective Type Questions,

Mental Maths,

Multiple Choice Questions ,(MCQ)

### Ex 15.1, Visualising Solid Shapes Class-7 ML Aggarwal ICSE Mathematics Solutions

Question 1.
Match the following shapes with their names:    Question 2.
Identify the nets which can be folded to form a cube (cut out copies of the nets and try it):  Question 3.
Dice are cubes with dots on each face. Opposite faces of a die always have a total of sevend dots on them. Here are two nets to make dice (cubes); the numbers inserted in each square indicate the number of dots in that box. Insert suitable numbers in the blanks, remembering that the number on the opposite faces should total to 7. Question 4.
Can any of the following be a net for a die? If no, explain your answer:  Question 5.
Here is an incomplete net for making a cube. Complete it in at least two different ways. Remember that a cube has six faces. How many are there in the net here? (You may use a squared paper for easy manipulation.)  ### Visualising Solid Shapes Class-7 ML Aggarwal ICSE Mathematics Solutions Ex 15.2

Question 1.
The dimensions of a cuboid are 5 cm, 3 cm, and 2 cm. Draw three different isometric sketches of this cuboid with height
(i) 2 cm
(ii) 3 cm
(iii) 5 cm Question 2.
Give (i) an oblique sketch (ii) an isometric sketch for each of the following:
(a) A cube is with an edge 4 cm long.
(b) A cuboid of length 6 cm, breadth 4 cm, and height 3 cm.

(a) Cube (b) Cuboid Question 3.
The adjoining figure shows an isometric sketch of a 3-D shape. Draw an oblique sketch that matches this sketch. The oblique sketch of the given isometric sketch
of a 3-D shape has been given below: Question 4.
Draw an isometric sketch of each of the following oblique shapes: Isometric sketch of each of the given oblique shapes
have been given below: ### Visualising Solid Shapes Exe-15.3 Class-7 ML Aggarwal ICSE Mathematics Solutions

Question 1.
Count the number of cubes in the following structures: Number of cubes in the given structure havebeen given below:
(i) 5 × 3 × 2 = 30
(ii) 7 × 2 + 6 = 14 + 6 = 20
(iii) 5 × 5 + 17 + 4 = 25 + 17 + 4 = 46

Question 2.
What cross-section is made in the following
(i) vertical cut (ii) horizontal cut?
(a) A brick
(b) A round apple
(c) A die
(d) A circular pipe
(e) An ice cream cone
(f) A square pyramid

 Vertical cut Horizontal cut (a) A brick Rectangle Rectangle (b) A round apple Circle Circle (c) A die Square Square (d) A circular pipe Rectangle Circle (e) An ice cream cone Triangle Circle (f) A square pyramid Triangle Square

Question 3.

For each solid given below, the three views (1), (2) and (3) are given. Identify for each solid the corresponding top, front and side views:   (a) (1) Side (2) Top (3) Front
(b) (1) Front (Top) (2) Side (3) Top (Front)
(c) (1) Top (2) Side (3) Front
(d) (1) Front (Side) (2) Side (Front) (3) Top
(e) (1) Top (2) Side (3) Front

Question 4.
For the soldis given below sketch the front, side and top view:  ### Objective Type Questions,

#### Mental Maths, Visualising Solid Shapes Class-7 ML Aggarwal ICSE Mathematics Solutions Chapter-15

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 ……….

(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. (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)

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