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21 April, 04:20

A regular triangular pyramid with a slant height of 9 m has a volume equal to 50 m^3. find the lateral area of the pyramid

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  1. 21 April, 05:54
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    we are given a regular triangular pyramid with a slant height of 9 m and volume of 50 m3. We can get the altitude of the pyramid by sin 60 = h / 9; h is equal to 7.7942 m. Volume is equal to 1/3 h * B, B is equal to 19.2451 m2. perimeter of the base is 3*9 m equal to 27 meters. The lateral area has a formula of 1/2 pl, substituting, lateral area is equal to 121.5 m2.
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