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Maths Case study (4 Marks)

Visualising Solid Shapes · Jharkhand Board (JAC) STD 8 (Jharkhand - English Medium). 11 questions.

Questions

Case study (4 Marks)

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11 questions · self-marked practice — reveal the answer and mark yourself.

Question 14 Marks
Using Euler’s formula, find the value of unknown $x, y, z, p, q, r,$ in the following table.
Faces $y$
Vertices $12$
Edges $18$
Answer
$V = 12, E = 18$ and $F = y So, F + V - E = 2 a$
$\Rightarrow y + 12 - 18 = 2 $
$\Rightarrow y - 6 = 2 $
$\Rightarrow y = 2 + 6 $
$\Rightarrow y = 8$
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Question 24 Marks
Draw the front, side and top view of the given shapes.
Answer
On the basis of properties and features of front view, top view and side view, we can draw all the three views of the given figures as:
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Question 34 Marks
Draw the front, side and top view of the given shapes.
Answer
On the basis of properties and features of front view, top view and side view, we can draw all the three views of the given figures as:
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Question 44 Marks
Using Euler’s formula, find the value of unknown $x, y, z, p, q, r,$ in the following table.
Faces $9$
Vertices $z$
Edges $16$
Answer
$F = 9, E = 16,$ and $V = Z$
So, $F + V - E = 2$
$\Rightarrow 9 + z - 16 = 2$
$z - 7 = 2$
$\Rightarrow z = 2 + 7$
$\Rightarrow z = 9$
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Question 54 Marks
Draw the front, side and top view of the given shapes.
Answer
On the basis of properties and features of front view, top view and side view, we can draw all the three views of the given figures as:
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Question 64 Marks
Using Euler’s formula, find the value of unknown $x, y, z, p, q, r,$ in the following table.
Faces $7$
Vertices $10$
Edges $x$
Answer
By using Euler's formula for polyhedron. $F =7, V = 10$ and $E = x$
So, $F + V - E = 2 $
$\Rightarrow 7 + 10 - x = 2 $
$\Rightarrow 17 - x = 2 $
$\Rightarrow 17 - 2 = x $
$\Rightarrow x = 15$
 
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Question 74 Marks
Draw the front, side and top view of the given shapes.
Answer
On the basis of properties and features of front view, top view and side view, we can draw all the three views of the given figures as:
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Question 84 Marks
Draw the front, side and top view of the given shapes.
Answer
On the basis of properties and features of front view, top view and side view, we can draw all the three views of the given figures as:
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Question 94 Marks
Draw the front, side and top view of the given shapes.
Answer
On the basis of properties and features of front view, top view and side view, we can draw all the three views of the given figures as:
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Question 104 Marks
Draw the front, side and top view of the given shapes.
Answer
On the basis of properties and features of front view, top view and side view, we can draw all the three views of the given figures as:
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Question 114 Marks
Draw the front, side and top view of the given shapes.

Answer
On the basis of properties and features of front view, top view and side view, we can draw all the three views of the given figures as:

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