Q.Find the volume of a prism whose base is an equilateral triangle of sides 3cm. Height of the prism is 14cm.
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Answer:
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=
2
3+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
Step-by-step explanation:
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Answered by
1
Answer:
=6 sq. cm.
=6 sq. cm. Then volume of the prism =area of base×height
=6 sq. cm. Then volume of the prism =area of base×height= 6×10
=6 sq. cm. Then volume of the prism =area of base×height= 6×10= 60 cu.cm
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