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MATHS 1 Marks Question

Visualising Solid Shapes · Bihar Board (BSEB) STD 8 (BSEB - English Medium). 73 questions.

Questions · Page 2 of 2

1 Marks Question

Question 511 Mark
Count the number of cubes in the given shapes.
Answer
For finding the number of cubes in the given shapes you have to count all cubes which are visible or not. Hence, we have the total number of cubes for the given figures as: $110$ cubes.
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Question 521 Mark
Total number of faces in a pyramid which has eight edges is ______.
Answer
Total number of faces in a pyramid which has eight edges is $5,$ i.e..Solution:
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Question 561 Mark
If the sum of number of vertices and faces in a polyhedron is $14,$ then the number of edges in that shape is ______.
Answer
If the sum of number of vertices and faces in a polyhedron is $14,$ then the number of edges in that shape is $12.$
Solution:
Given, the sum of number of vertices and faces in a polyhedron is $14,$ i.e. $V + F + = 14$
We know that, Euler's formula, $F + V - E = 2$ for any polyhedron.
$\Rightarrow 14 - E = 2$
$\Rightarrow 14 - 2 = E$
$\Rightarrow E = 12$
Hence, the number of edges are $12.$
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Question 571 Mark
Every cylinder has $2$ opposite faces as congruent circles, so it is also a prism.
Answer
False. Solution: The cylinder has a congruent cross-section which is a circle, so it could be called as a circular prism.
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Question 581 Mark
How many edges does following solids have$?$ Octagonal Pyramid.
Answer
Octagonal pyramid has $16$ edges.
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Question 591 Mark
A regular polyhedron is a solid made up of ______ faces.
Answer
A regular polyhedron is a solid made up of congruent faces. Solution: [according to the definition of regular polyhedron]
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Question 601 Mark
Count the number of cubes in the given shapes.
Answer
For finding the number of cubes in the given shapes you have to count all cubes which are visible or not. Hence, we have the total number of cubes for the given figures as:
$10$ cubes.
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Question 611 Mark
In the figure
the number of faces meeting at $B$ is ________.
Answer
In the figure the number of faces meeting at $B$ is $4.$
Solution:

Here, faces are $EDB, DCB, EAB$ and $ACB.$
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Question 621 Mark
Rectangular prism is also called a _______.
Answer
Rectangular prism is also called a cuboid.
Solution: Since, a rectangular prism has $8$ vertices, $12$ edges and $6$ rectangular faces as cuboid shown in below figure.
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Question 631 Mark
How many vertices does the following solids have? Octagonal Pyramid.
Answer
Octagonal pyramid has one vertex.
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Question 641 Mark
The given shape is a cylinder.
Answer
False. Solution: The given shape is a fustum. The shape of a cylinder is,
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Question 661 Mark
Count the number of cubes in the given shapes.
Answer
For finding the number of cubes in the given shapes you have to count all cubes which are visible or not. Hence, we have the total number of cubes for the given figures as: $10$ cubes.
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Question 671 Mark
Total number of regular polyhedra is ______.A prism has two bases, and a pyramid has one base.
Prisms
Pyramids
A Prism is a polyhedron that has two parallel, congruent bases. The bases can be any polygon. The other faces are parallelograms.
A pyramid is a polyhedron that has one base. The base can be any polygon. The other faces are triangles.
Answer
Total number of regular polyhedra is five, i.e. cube, octahedron, tetrahedron, dodecahedron and icosahedron.
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Question 681 Mark
A cuboid has atleast $4$ diagonals.
Answer
True. Solution: In a cuboid, the number of diagonals is not least then $4.$
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Question 691 Mark
Count the number of cubes in the given shapes.
Answer
For finding the number of cubes in the given shapes you have to count all cubes which are visible or not. Hence, we have the total number of cubes for the given figures as:$9$ cubes.
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Question 701 Mark
How many vertices does each of the following solids have? Hexagonal Prism.
Answer
Hexagonal prism has $12$ vertices.
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Question 711 Mark
If $4\ km$ on a map is represented by $1\ cm,$ then $16\ km$ is represented by ______ $cm.$
Answer
If $4\ km$ on a map is represented by $1\ cm,$ then $16\  km$ is represented by $\frac{1}{4}\text{cm}.$
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Question 721 Mark
Count the number of cubes in the given shapes.
Answer
For finding the number of cubes in the given shapes you have to count all cubes which are visible or not. Hence, we have the total number of cubes for the given figures as$: 15$ cubes.
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Question 731 Mark
Count the number of cubes in the given shapes.
Answer
For finding the number of cubes in the given shapes you have to count all cubes which are visible or not. Hence, we have the total number of cubes for the given figures as$: 11$ cubes.
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