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In the adjoining figure curved surface area and length of side of equilateral triangle are 1080cm ^ 2 and 12cm. Find the height of triangular prism.

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In the adjoining figure curved surface area and length of side of equilateral triangle-example-1
User Sprocket
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2 Answers

20 votes
20 votes
  • Perimeter of base=12(3)=36cm
  • Height be h


\\ \rm\rightarrowtail 36h=1080


\\ \rm\rightarrowtail h=1080/36


\\ \rm\rightarrowtail h=30cm

User Idmitriev
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2.8k points
19 votes
19 votes

Given:

  • CSA⇢ 1080cm²
  • Length of side⇢ 12cm

To find:

  • ⇢Height of triangular prism

Solution:

we know that,

CSA of a Triangular prism

  • CSA⇢ perimeter of base x height

1080cm²⇢12+12+12 x height

1080cm²⇢36cm x height

height⇢ 1080cm²/ 36cm

height ⇢ 30cm

Hence ,the height of the given triangular prism would be 30cm

User Nicolas Janel
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