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Using Euler’s formula, find the value of...

Using Euler’s formula, find the value of unknown x, y, z, p, q, r, in the following table.

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NCERT EXEMPLAR-VISUALISING SOLID SHAPES -EXERCISE
  1. How many vertices does each of the following solids have? (a) cone ...

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  2. How many edges does each of following solids have? (a) Cone (b) Cy...

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  3. Using Euler’s formula, find the value of unknown x, y, z, p, q, r, in ...

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  4. Can a polyhedron have V = F = 9 and E = 16 ? If yes, draw its figure

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  5. Check whether a polyhedron can have V = 12, E = 6 and F = 8.

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  6. A polyhedron has 60 edges and 40 vertices. Find the number of its face...

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  7. A polyhedron has 20 faces and 12 vertices. Find the edges of the polyh...

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  8. A solid has forty faces and, sixty edges. Find the number of vertices ...

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  9. Draw the net of a regular hexahedron with side 3 cm. (Hint: Regular he...

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  10. Draw the net of a regular tetrahedron with side 6 cm.

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  11. Draw the net of the following cuboid:

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  12. Match the following:

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  13. Complete the table given below by putting tick mark across the respect...

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  14. Draw the net of the following shape.

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  15. Draw the net of the following solid.

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  16. Find the number of cubes in the base layer of the following figure.

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  17. In the above figure, if only the shaded cubes are visible from the top...

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  18. How many faces, edges and vertices does a pyramid have with n sided po...

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  19. Draw a figure that represents your mathematics textbook. What is the n...

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  20. In the given figures, identify the different shapes involved.

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