Basic Geometry

Basic Geometry

IP 2
6 marks

The diagram shows a candle in the shape of a pyramid \(ABCDE\). \(ABCD\) is a square of side \(6\text{ cm}\) and \(AE = BE = CE = DE = 10\text{ cm}\).

  1. Find the total surface area of the candle.

    [3]

  2. The vertical height of the candle is \(9.06\) cm.

    The candle is melted to form hemispherical candles with radius, \(r\) cm.

    Show that \(r = 3.73\) cm.

    [3]

Solution:

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Answer:(a) \(\text{Total surface area}=156\text{ cm}^2\)

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