The base of prism is tringular in shpe with side 3 cm ,4cm , 5 cm find the volume of of the if its height is 10cm
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Given, sides of prism are 3 cm, 4 cm and 5 cm and height =10 cm
Let s be the semi-perimeter of the triangular base of the prism.
Then S= 23+4+5=6 cm
Therefore, the area of the prism = s(s−a)(s−b)(s−c)
= 6(6−3)(6−4)(6−5)
= 6×3×2×1
= 36
=6 sq. cm.
Then volume of the prism =area of base×height
= 6×10
= 60 cu.cm
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