Question
Download Solution PDFThe base of a right prism is an equilateral triangle whose side is 10 cm. If height of this prism is 10\(\sqrt{3}\) cm, then what is the total surface area of prism ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The base of a right prism is an equilateral triangle whose side is 10 cm.
The height of this prism is 10\(√{3}\) cm
Concept used:
TSA of Prism = [2(area of triangular base)] + [(Base Perimeter × height)]
Area of Equilateral Triangle = (√3/4)a2
The perimeter of the Equilateral triangle = 3 × side.
Calculation:
According to the concept,
⇒ Area of Equilateral Triangle = (√3/4)(10)2 = (100/4)√3 = 25√3
⇒ Base Perimeter = 10 × 3 = 30
Then,
TSA = [2(25√3)] + [30 × 10√3]
⇒ TSA = 50√3 + 300√3
⇒ TSA = 350√3
∴ The total surface area of the prism is 350√3.
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