In the adjoining figure,the slant height and the total surface area of square based pyramid are 12cm and340sq.cm respectively.find the perimeter of the base and volume

Answer 1

If the base has side length s, the total area is a square and four triangles with height 12 (the slant height):

s^2 + 4 * (1/2)(12)s = s^2 + 24s

Now just solve for s and recall that the volume is

1/3 Bh = 1/2 s^2h

where h^2 = 12^2 - (s/2)^2

Answer 2

40cm,363.62cm^3

Answer 3

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