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A pyramid is constructed on a cuboid. The figure has


Question

A pyramid is constructed on a cuboid. The figure has

Options

A) Twelve faces

B) Sixteen edges

C) Thirteen vertices

D) Fifteen edges

The correct answer is B.

Explanation:

A cuboid has 12 edges and a square pyramid has 8 edges. Therefore, 12 + 8 = 20 edges in total. However, since the pyramid is constructed on the cuboid, the top of the cuboid is shared with the base of the pyramid resulting in 4 redundant edges. Subtract the four edges from the total of twenty to get 20 - 4 = 16 edges.

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Discussion (4)

  • Just count the number of lines to draw the image...you get 16...that's 16 edges
    It has 9 faces and 9 vertices

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  • A cuboid has 8 vertices (edges) and a rectangular based pyramid has 5 edges so all together is 8+5 = 13 edges

  • A cuboid has 12 edges and a square pyramid has 8 edges. Therefore, 12 + 8 = 20 edges in total. However, since the pyramid is constructed on the cuboid, the top of the cuboid is shared with the base of the pyramid resulting in 4 redundant edges. Subtract the four edges from the total of twenty to get 20 - 4 = 16 edges.

  • it is 9 edges from the fogure formed

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