8th Maths : Chapter 2 : Measurements: Three dimensional (3-D) shapes : Exercise 2.3: Text Book Back Exercises Questions with Answers, Solution

**Exercise 2.3**

** **

**1. Fill in the blanks:**

(i) The three
dimensions of a cuboid are ____, _____ and ____. **[Answer: length, breadth,
height]**

(ii) The
meeting point of more than two edges in a polyhedron is called as ______. **[Answer: vertex]**

(iii) A cube
has __________ faces. **[Answer: six]**

(iv) The
cross section of a solid cylinder is __________.**[Answer: circle]**

(v) If a
net of a 3-D shape has six plane squares, then it is called ______.**[Answer: cube]**

** **

**2. Match the following:**

**[Answer: (i)−b, (ii)−a, (iii)−d, (iv)−c] **

**3. Which 3-D shapes do the following
nets represent? Draw them**

**Solution:**

**(i)** The net represents cube, because it
has 6 squares.

**(ii)** The net represents cuboid

**(iii)** The net represents Triangular prism

**(iv)** The net represents square pyramid

**(v)** The net represents cylinder

** **

**4. For each solid, three views are given.
Identify for each solid, the corresponding Top, Front and Side (T, F and S) views.**

Solution:

** **

**5. Verify Euler’s formula for the table
given below.**

**Solution:**

Euler’s formula is given
by F + V − E = 2

**(i)**** F = 4; V = 4; E = 6**

F + V − E = 4 + 4 − 6 = 8 − 6

F + V − E = 2

∴ Euler’s formula is satisfied.

**(ii)**** F = 10; V = 6; E = 12**

F + V − E = 10 + 6 – 12 = 16 − 12 = 4 ≠ 2

∴ Euler’s formula is not satisfied.

**(iii)**** F = 12 ; V = 20 ; E = 30**

F + V − E = 12 + 20 − 30 = 32 − 30 = 2

∴ Euler’s formula is
satisfied.

**(iv)**** F = 20 ; V = 13 ; E = 30**

F + V − E = 20 + 13 − 30 = 33 − 30 = 3 ≠ 2

∴ Euler’s formula is
not satisfied.

**(v)**** F = 32 ; V = 60 ; E = 90**

F + V − E = 32 + 60 − 90 = 92 − 90 = 2

∴ Euler’s formula is
satisfied.

**Answer:**

**Exercise 2.3 **

**1. (i) length, breadth
and height (ii) Vertex (iii) Six (iv) Circle (v) Cube**

**2. (i) (b) (ii) (a) (iii)
(d) (iv) (c) **

**3. (i) Cube (ii) Cuboid
(iii) Triangular Prism (iv) Square Pyramid (v) Cylinder**

**4. (i) F, T, S (ii) T,S,F
(iii) S,F,T **

**5. (i) Yes (ii) No (iii)
Yes (iv) No (v) Yes**

** **

Tags : Questions with Answers, Solution | Measurements | Chapter 2 | 8th Maths , 8th Maths : Chapter 2 : Measurements

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8th Maths : Chapter 2 : Measurements : Exercise 2.3 (Three dimensional (3-D) shapes) | Questions with Answers, Solution | Measurements | Chapter 2 | 8th Maths

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