# 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.

 Polyhedron Faces (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.

 Polyhedron Faces (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.

 Polyhedron Faces (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.

 Polyhedron Faces (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.

 Solid Shape Number of Cubes Front View Side View Top View (a) 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.

 Solid Shape Number of Cubes Front View Side View Top View (a) 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.

 Solid Shape Number of Cubes Front View Side View Top View (a) Choose the Appropriate Side View

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

(a)

(b)

(c)

(d)

(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)

(b)

(c)

(d)

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

(a)

(b)

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

(a)

(b)

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.

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

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

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

 Polyhedron Faces (F) Vertices (V) Edges (E) (a) The Polyhedron 5 6 9

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

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

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

 Polyhedron Faces (F) Vertices (V) Edges (E) (a) Shape Have 6 Vertices 5 6 9

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

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

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

 Polyhedron Faces (F) Vertices (V) Edges (E) (a) The Polyhedron 4 4 6

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

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

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

 Polyhedron Faces (F) Vertices (V) Edges (E) (a) The Polyhedron 5 6 9

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.

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.

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.

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.

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.

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.

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.

.

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

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

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

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

Given rotational symmetry,

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

Given rotational symmetry,

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

Given rotational symmetry,

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

Given rotational symmetry,

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

.

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

Hence, for given figure Order of Symmetry is 4.

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

Hence for given figure Order of Symmetry is 4.

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

Hence for given figure Order of Symmetry is 3.

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