RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

RD Sharma Solutions for Class 8 Mathematics

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Class 8 : RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

The document RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev is a part of the Class 8 Course RD Sharma Solutions for Class 8 Mathematics.
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PAGE NO 19.12:

Question 1:

Which among the following are nets for a cube?

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

ANSWER:

To create a cube, we need six equal faces that enclose a closed box.

In the given figure, only (iv) , (v)  and (vi) are such nets that enclose a box when we fold each face from the edge.
 

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRevRD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRevRD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

PAGE NO 19.13:

Question 2:

Name the polyhedron that can be made by folding each net:

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev   RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev    RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev    RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev    RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

ANSWER:

(i) If we fold the given figure from the edges, we'll get a pyramid with a square base.

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

 

(ii) If we fold the given polyhedron from the edges, we'll get a triangular prism.

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

 

(iii) If we fold the given polyhedron from the edges, we'll get a triangular prism.

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

 

(iv) If we fold the given polyhedron from the edges, we'll get a hexagonal prism.

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

 

(v) If we fold the given net from the edges, we'll get a hexagonal pyramid.

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

 

(vi) If we fold the given net from the edges, we'll get a cuboid.

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev


Question 3:

Dice are cubes where the numbers on the opposite faces must total 7. Which of the following are dice?

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRevRD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

ANSWER:

Among the given figures, only figure (i)  is a dice.

This is because if we fold the given net from the edges, we'll get a cube in which the sum of the opposite faces is 7.
  RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev


Question 4:

Draw nets for each of the following polyhedrons:

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev    RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev    RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

ANSWER:

(i)

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

(ii)

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

(iii)

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

(iv)

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev


PAGE NO 19.14:

Question 5:

Match the following figures:

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

ANSWER:

(a) The given figure is a cuboid with sides 4, 4 and 6 units.

Area of a rectangle  = length × width

∴ Area of the rectangular face sith sides 4 and 4  = 4 × 4 = 16

And, area of the other face with sides 4 and 6  = 4 × 6 = 24

Thus, the net for the given figure will have four faces with area 24 and two faces with area 16.

Observe net (iv)  satisfies this.Thus, the net of figure (a)  is net (iv) .

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

 

(b) The given figure is a cuboid with sides 3, 3 and 8.

Area of a rectangle  = length × width

∴ Area of the rectangular face sith sides 3 and 3  = 3 × 3 = 9

And the area of the other face with sides 3 and 8  = 3 × 8 = 24

Thus, the net for given figure will have four faces with area 24 and two faces with area 9.

Observe that net (i)  satisfies this.Thus, the net of figure (b)  is net (i) .

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

 

(c) The given figure is a cuboid with sides 3, 4 and 6.

Area of a rectangle = length × width

∴ Area of the rectangular face sith sides 3 and 4  = 3 × 4 = 12,

Area of the rectangular face with sides 4 and 6  = 4 × 6 = 24

And, area of the other face with sides 3 and 6  = 3 × 6 = 18

Thus, the net for given figure will have two faces with area 24, two faces with area 18 and two faces with area 12.

Observe that net (ii)  satisfies this.Thus, the net of figure (c)  is net (ii) .

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

 

(d) The given figure is a cuboid with sides 3, 3 and 9.Area of a rectangle  = length × width

Area of the rectangular face with sides 3 and 3  = 3 × 3 = 9,

And, area of the other face with sides 3 and 9  = 3 × 9 = 27

Thus, the net for given figure will have four faces with area 27 and two faces with area 9.

Observe that net (iii)  satisfies this.

Thus, the net of figure (d)  is net (iii) .

RD Sharma Solutions - Chapter 19 - Visualising Shapes (Part - 2), Class 8, Maths Class 8 Notes | EduRev

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