Question

The total surface area of a square based pyramid is 400cm^2.If the lateral surface area of the pyramid is 3 times the base area.find the length of base.

Answer 1

Answer:

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Answer 2

// Assume : base area of pyramid = P

then, lateral surface area = 3P

// Solve :

Total Surface Area = LSA + Base Area

400 = 3P + P

therefore, p = 100

// Critical Thinking :

Since, this is a square pyramid base

area must be square of length.

$\implies \: 100 = {(length)}^{2} \\ \implies \: \sqrt{100} = length \\ Since, \: length \: can \: not \: be \: negative. \\ length = 10cm$