NCERT Solutions for Class 8 Math Chapter 10 - Visualising Solid Shapes

Answer:

1. $\to$ (ii) $\to$ (c)
2. $\to$ (v) $\to$ (g)
3. $\to$ (iii) $\to$ (b)
4. $\to$ (vii) $\to$ (h)
5. $\to$ (viii) $\to$ (f)
6. $\to$ (iv) $\to$ (d)
7. $\to$ (vi) $\to$ (e)
8. $\to$ (i) $\to$ (a)

Answer:

(i) $\to$ (c) (ii) $\to$ (c) (iii) $\to$ (e)
(iv) $\to$ (b) (v) $\to$ (a)

Answer:

(a) $\to$ (iii) $\to$ (iv)
(b) $\to$ (i) $\to$ (v)
(c) $\to$ (iv) $\to$ (ii)
(d) $\to$ (v) $\to$ (iii)
(e) $\to$ (ii) $\to$ (i)

Answer:

(a) (i) Front (ii) Side (iii) Top
(b) (i) Side (ii) Front (iii) Top.
(c) (i) Front (ii) Side (iii) Top.
(d) (i) Front (ii) Side (iii) Top.

Answer:

(a) (i) Top (ii) Front (iii) Side.
(b) (i) Side (ii) Front (iii) Top.
(c) (i) Top (ii) Side (iii) Front.
(d) (i) Side (ii) Front (iii) Top.
(e) (i) Front (ii) Top (iii) Side.

Answer:

Answer:

Answer:

Answer:

What happens to F, V and E if some parts are sliced off from a solid?

Answer:

(i) No
(ii) Yes, Pyramid
(iii) Yes, Square Pyramid.

Answer:

Yes, Pyramid.

Answer:

(ii) Unsharpened Pencil and (iii) a table weight.

Answer:

(i) Both prism and cylinder may have common vertical axis.
(ii) Both pyramid and cone have only one vertex above the plane base.

Answer:

Yes, a square prism can be same as cube in the same way as a rectangular prism is same as cuboid.

Answer:

(i) Number of faces F = 5
Number of vertices V = 9
Number of edges E = 12
$\therefore$ By Euler’s law :
F + V – E = 2
5 + 9 – 12 = 2
2 = 2
(ii) Number of faces F = 10
Number of vertices V = 9
Number of edges E = 17
$\therefore$ By Euler’s law :
F + V – E
10 + 9 – 17 = 2
2 = 2

Answer:

According to Euler’s Formula :
F + V = E + 2
Therefore, we have:

Answer:

No, because, it does not satisfies the Euler’s relation.
i.e., F + V – E = 2
$\Rightarrow$ 10 + 15 – 20
$\Rightarrow$ 25 – 20 = 5 $\ne$ 2.