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Visualising Solid Shapes

Short Answer Type

21. Which are prisms among the following?

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22. How are prisms and cylinders alike?

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23. How are pyramids and cones alike?

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24. Is a square prism same as a cube? Explain.

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25. Verify Euler’s formula for these solids.

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Long Answer Type

26. Using Euler’s formula find the unknown.

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Short Answer Type

27. Can polyhedron have 10 faces, 20 edges and 15 vertices?

Here, F = 10, E = 20 and V = 15
We have:
F + V - E = 2
∴ 10 + 15 - 20 = 2
or 25 - 20 = 2
or 5 = 2 which is not true
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Thus, such a polyhedron is not possible.