# Free Visualising Solid Shapes 01 Practice Test - 7th grade Which of the following net diagrams can be used for the cube shown above?

A. B. C. D. #### SOLUTION

Solution : A

Cut the cardboard box along its edges and lay it flat, then the net formed will be as shown below:  Which of the following net diagrams can be used for the above-shown cylinder?

A. B. C. D. #### SOLUTION

Solution : B

The cylinder is a combination of two circular shapes and one rectangular shape.  Which of the following net diagrams can be used for the above-shown cone?

A. B. C. D. #### SOLUTION

Solution : C

The cone is a combination of triangular and circular shapes.  Which of the following net diagrams can be used for the above-shown pyramid (rectangular base)?

A. B. C. D. #### SOLUTION

Solution : D

A rectangular base pyramid is a combination of four triangles and one square. Consider the cube: Let the number of faces be F, number of edges be E and number of vertices be V.

Then find the value of F + E + V.

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#### SOLUTION

Solution :

Number of faces (F) = 6

Number of edges (E) = 12

Number of vertices (V) = 8

Hence, F + E + V = 26

Consider the figure (triangular pyramid): Let the number of faces be F, number of edges be E and number of vertices be V.

Then find the value of F + E + V.

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#### SOLUTION

Solution :

Number of faces (F) = 4

Number of edges (E) = 6

Number of vertices (V) = 4

Hence, F + E + V = 14.

Consider the figure (a rectangular pyramid mounted over a cube): Let the number of faces be F, the number of edges be E and the number of vertices be V. Then, find the value of F + E + V.

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#### SOLUTION

Solution :

Number of faces (F) = 9

Number of edges (E) = 16

Number of vertices (V) = 9

Hence, F + E + V = 34.

Consider the figure: Let the number of faces be F, the number of edges be E and number of vertices be V. Then find the value of F + E + V.

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#### SOLUTION

Solution :

Number of faces (F) = 7

Number of edges (E) = 15

Number of vertices (V) = 10

Hence, F + E + V = 32

Consider the net figure of a rectangular pyramid: Let the number of edges be E and number of vertices be V (in the 2-D figure: take edges as the intersection lines and vertices as intersection points of the lines).Then the value of E + V is 24. True/False?

A.

True

B.

False

#### SOLUTION

Solution : B

From the figure, Number of edges (E) = 12

Number of vertices (V) = 8

Hence, E + V = 20. The above figure is a net for a dice.

A.

True

B.

False

#### SOLUTION

Solution : A

The above figure is the net for a cube.Hence, it can be a net for a dice. 