math

OXYZ is a tetrahedron whose faces are identical equilateral triangles of side 10 m each. Given that the slant height of pyramid is 5 square root 3 metres
find its total surface area leaving your answer correct to 3 significant figures.

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  1. All that we really needed to know was that the sides were 10 m each for each of the 4 triangles.
    We could have found the height using Pythagoras.

    Area of one of them = (1/2)base x height = (1/2)(10)(5√3)
    So four of them will have an area of
    4(1/2)(10)(5√3) m^2 = 100√3 m^2 or appr .....

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