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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.

(i) In figure (i), we have
F = 7, V = 10 and E = 15
∴ F + V = 7 + 10 = 17
F + V - E = 17 - 15 = 2
i.e. F + V - E = 2
Thus, Euler's formula is verified.

(ii) In figure (ii), we have
F = 9, V = 9 and E = 16
∴ F + V = 9 + 9 = 18
and F + V - E = 18 - 16 = 2
i.e. F + V - E = 2
Thus, Euler's formula is verified.

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