2023 BMSS EOY P2 Q7

2023 BMSS EOY P2 Q7

5 marks

The diagram shows the net of a pyramid. It consists of a square and \(4\) triangles.
The length of each side of the square is \(8\text{ cm}\). The height of the triangle is \(10.5\text{ cm}\).

  1. Show that the total surface area of the pyramid is \(232\text{ cm}^2\).

    [2]

  2. Find the volume of the pyramid.

    [3]

Solution:

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Answer:(a) \(232\text{ cm}^2\); (b) \(32\sqrt{377}/3\text{ cm}^3\approx207\text{ cm}^3\).

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