the base of the prism is triangular in shape with sides 6cm,8cm,10cm find the volume of the prism if its height is 10cm
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S = (a + b + c)/2
= (6 + 8 + 10)/2 = 12
Area of triangular base = ((S x (S - a) x (S - b) x (S - c))^.5
= (12 x (12 - 6) x (12 - 8) x (12 - 10))^.5
= (12 x 6 x 4 x 2)^?5
= ( 2 x 2 x 3 x 2 x 3 x 2 x 2 x 2)^.5
= 2 x 3 x 2 x 2
24 sq cm
Volume = 24 x 10 cube cm
= 240 cube cm
= (6 + 8 + 10)/2 = 12
Area of triangular base = ((S x (S - a) x (S - b) x (S - c))^.5
= (12 x (12 - 6) x (12 - 8) x (12 - 10))^.5
= (12 x 6 x 4 x 2)^?5
= ( 2 x 2 x 3 x 2 x 3 x 2 x 2 x 2)^.5
= 2 x 3 x 2 x 2
24 sq cm
Volume = 24 x 10 cube cm
= 240 cube cm
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