Grade 8 Solid Shapes and Symmetry Worksheet Questions and Answers (For CBSE, ICSE, IAS, NET, NRA 2022)

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(1) For Each Polyhedron, Write in the Number of Faces (F) , Vertices (V) , Edges (E) , and the Value of F + V – E.

For Each Polyhedron, Write in the Number of Faces (F) , Vertices (V) , Edges (E) , and the Value of F
PolyhedronFaces (F)Vertices (V)Edges (E)
(a)
For Each Polyhedron

(2) For Each Polyhedron, Write in the Number of Faces (F) , Vertices (V) , Edges (E) , and the Value of F + V – E.

For Each Polyhedron, Write in the Number of Faces (F) , Vertices (V) , Edges (E) , and the Value of F
PolyhedronFaces (F)Vertices (V)Edges (E)
(a)
For Each Polyhedron

(3) For Each Polyhedron, Write in the Number of Faces (F) , Vertices (V) , Edges (E) , and the Value of F + V – E.

For Each Polyhedron, Write in the Number of Faces (F) , Vertices (V) , Edges (E) , and the Value of F
PolyhedronFaces (F)Vertices (V)Edges (E)
(a)
For Each Polyhedron

(4) For Each Polyhedron, Write in the Number of Faces (F) , Vertices (V) , Edges (E) , and the Value of F + V – E.

For Each Polyhedron, Write in the Number of Faces (F) , Vertices (V) , Edges (E) , and the Value of F
PolyhedronFaces (F)Vertices (V)Edges (E)
(a)
For Each Polyhedron

(5) Choose the Appropriate Side View, Front View and Top View for Each of the Solid Shapes from the Given Views. Also, write in the Number of Cubes Used in Each Solid Shape.

Choose the Appropriate Side View, Front View and Top View
Solid ShapeNumber of CubesFront ViewSide ViewTop View
(a)
Choose the Appropriate Side View
Choose the Appropriate Side View

(6) Choose the Appropriate Side View, Front View and Top View for Each of the Solid Shapes from the Given Views. Also, write in the Number of Cubes Used in Each Solid Shape.

Choose the Appropriate Side View, Front View and Top View
Solid ShapeNumber of CubesFront ViewSide ViewTop View
(a)
Choose the Appropriate Side View
Choose the Appropriate Side View

(7) Choose the Appropriate Side View, Front View and Top View for Each of the Solid Shapes from the Given Views. Also, write in the Number of Cubes Used in Each Solid Shape.

Choose the Appropriate Side View, Front View and Top View
Solid ShapeNumber of CubesFront ViewSide ViewTop View
(a)
Choose the Appropriate Side View
Choose the Appropriate Side View

(8) Tick (√) if the Nets That Will Form a Die when Folded Otherwise (×) .

(a)

The Nets That Will Form a Die when Folded Otherwise

(b)

The Nets That Will Form a Die when Folded Otherwise

(c)

The Nets That Will Form a Die when Folded Otherwise

(d)

The Nets That Will Form a Die when Folded Otherwise

(9) Write in the Numbers 1, 2, 3,4, 5, and 6 on Each Net So That It Forms a Die when Folded.

(a)

Write in the Numbers 1, 2, 3,4, 5, and 6 on Each Net

(b)

Write in the Numbers 1, 2, 3,4, 5, and 6 on Each Net

(c)

Write in the Numbers 1, 2, 3,4, 5, and 6 on Each Net

(d)

Write in the Numbers 1, 2, 3,4, 5, and 6 on Each Net

(10) Tick (√) the Figures That Have Rotational Symmetry and (×) if Not.

(a)

That Have Rotational Symmetry

(b)

That Have Rotational Symmetry

(c)

That Have Rotational Symmetry

(d)

That Have Rotational Symmetry

(11) Write in the Order of Symmetry for Each Figure.

(a)

The Order of Symmetry

(b)

The Order of Symmetry

(12) Write in the Order of Symmetry for Each Figure.

(a)

The Order of Symmetry

(b)

The Order of Symmetry

Answers and Explanations

Answer 1 (a)

Faces (F) : Flat surface enclosed by the edges are called faces, for solid it՚s a two dimensional.

Edge (E) : The line segment that from the skeleton of the solid shape are called edges.

Vertices (V) : The corner where the edges meet are called vertices.

Flat Surface Enclosed by the Edges

From Above Figure it՚s clear that given shape have 5 Face,

Flat Surface Enclosed by the Edges

From Above Figure it՚s clear that given shape have 9 Edges,

Flat Surface Enclosed by the Edges

From Above Figure it՚s clear that given shape have 6 Vertices,

Given Shape Have 6 Vertices
PolyhedronFaces (F)Vertices (V)Edges (E)
(a)
The Polyhedron
569

Answer 2 (a)

From below figure it՚s clear that given shape have 5 Face,

Shape Have 5 Face

Shape Have 5 Face

From above figure it՚s clear that given shape have 9 Edges,

Shape Have 9 Edges

From above figure it՚s clear that given shape have 6 Vertices,

Given Shape Have 6 Vertices
PolyhedronFaces (F)Vertices (V)Edges (E)
(a)
Shape Have 6 Vertices
569

Answer 3 (a)

Shape Have 4 Face

From above figure, it՚s clear that given shape have 4 Face,

Shape Have 6 Edges

From above figure, it՚s clear that given shape have 6 Edges,

Shape Have 4 Vertices

From above figure, it՚s clear that given shape have 4 Vertices,

Given Shape Have 4 Vertices
PolyhedronFaces (F)Vertices (V)Edges (E)
(a)
The Polyhedron
446

Answer 4 (a)

Shape Have 5 Face

From above figure, it՚s clear that given shape have 5 Face,

Shape Have 9 Edges

From above figure, it՚s clear that given shape have 9 Edges,

Shape Have 6 Vertices

From above figure, it՚s clear that given shape have 6 Vertices,

Given Shape Have 6 Vertices
PolyhedronFaces (F)Vertices (V)Edges (E)
(a)
The Polyhedron
569

Answer 5 (a)

For the given solid shape, 8 numbers of cubes can be seen directly other 2 cubes are hidden, can be seen while seen from back side.

Hence total number of cubes are

Now from given view Front view, Side view and Top view are as below.

Total Number of Cubes

Answer 6 (a)

10 Number of Cubes

From Figure it՚s clear that Given solid shape have 10 Number of Cubes

Now from given view Front view, Side view and Top view are as below.

10 Number of Cubes

Answer 7 (a)

For the given solid shape, 11 numbers of cubes can be seen directly other 3 cubes are hidden, can be seen while seen from back side.

Hence total number of cubes are

Now from given view Front view, Side view and Top view are as below.

11 Numbers of Cubes

Answer 8 (a)

When the faces number written 1 and 5 folded to make a cube (die) , they will be overlapping each other.

Hence net will not form a die when folded.

Therefore, the answer is

When the Faces Number Written 1 and 5

Answer 8 (B)

When we folded the faces of given net it will form a die, no any face makes overlapping.

Hence net will form a die when folded.

Therefore, the answer is

A Die when Folded

Answer 8 (C)

When we folded the faces of given net it will form a die, no any face makes overlapping.

Hence net will form a die when folded.

Therefore, the answer is

Net Will Form a Die when Folded

Answer 8 (D)

When the faces number written 2 and 4 folded to make a cube (die) , they will be overlapping each other.

Hence net will not form a die when folded.

Therefore, the answer is

Net Will Form a Die when Folded

.

Answer 9 (a)

Number can be written in below form so that it forms a die when folded.

Number Can be Written

Answer 9 (B)

Number can be written in below form so that it forms a die when folded.

Number Can be Written

Answer 9 (C)

Number can be written in below form so that it forms a die when folded.

Number Can be Written

Answer 9 (D)

Number can be written in below form so that it forms a die when folded.

Number Can be Written

Answer 10 (a)

Given rotational symmetry,

Given Rotational Symmetry

From above it՚s clear that given figure is not a rotational symmetry.

Therefore, the answer is

Rotational Symmetry

Answer 10 (B)

Given rotational symmetry,

Given Rotational Symmetry

From above it՚s clear that given figure is a rotational symmetry.

Therefore, the answer is

Rotational Symmetry

Answer 10 (C)

Given rotational symmetry,

Given Rotational Symmetry

From above it՚s clear that given figure is not a rotational symmetry.

Therefore, the answer is

Rotational Symmetry

Answer 10 (D)

Given rotational symmetry,

Given Rotational Symmetry

From above it՚s clear that given figure is not a rotational symmetry.

Therefore, the answer is

Rotational Symmetry

.

Answer 11 (a)

Order of Symmetry: means if we rotate the figure from zero degree to 360 degree than in between how many times we get the same figure as original

This can be finding out by divide the total rotational angle by angle of symmetry.

Angle of symmetry is an angle at which if we rotate the given figure than we may have same as original figure.

Now for given figure as shown below Angle of Symmetry

Angle of Symmetry

Hence, for given figure Order of Symmetry is 4.

Answer 11 (B)

Order of Symmetry: means if we rotate the figure from zero degree to 360 degree than in between how many times we get the same figure as original

This can be finding out by divide the total rotational angle by angle of symmetry.

Angle of symmetry is an angle at which if we rotate the given figure than we may have same as original figure.

Now for given figure as shown below Angle of Symmetry

Angle of Symmetry

Hence for given figure Order of Symmetry is 4.

Answer 12 (a)

Order of Symmetry: means if we rotate the figure from zero degree to 360 degree than in between how many times we get the same figure as original

This can be finding out by divide the total rotational angle by angle of symmetry.

Angle of symmetry is an angle at which if we rotate the given figure than we may have same as original figure.

Now for given figure as shown below Angle of Symmetry

Angle of Symmetry

Hence for given figure Order of Symmetry is 3.

Answer 12 (B)

Order of Symmetry: means if we rotate the figure from zero degree to 360 degree than in between how many times we get the same figure as original

This can be finding out by divide the total rotational angle by angle of symmetry.

Angle of symmetry is an angle at which if we rotate the given figure than we may have same as original figure.

Now for given figure as shown below Angle of Symmetry

Angle of Symmetry

Hence for given figure Order of Symmetry is 6.

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