Find the altitude of a right prism for which the area of the lateral surface is 143 sq.cm and the perimeter of the base is 13 cm.

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UP Police SI (दरोगा) Previous Paper 1 (Held On: 12 Dec 2017 Shift 2)
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  1. 22 cm
  2. 11 cm
  3. 16 cm
  4. 15 cm

Answer (Detailed Solution Below)

Option 2 : 11 cm
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यूपी पुलिस SI (दरोगा) सामान्य हिंदी मॉक टेस्ट
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Detailed Solution

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Given:

Area of the lateral surface of Prism(L.S.A) = 143 sq.cm

Perimeter of the base, P = 13 cm

Concept:

Lateral surface area of a prism is the product of its base perimeter and altitude

Formula used:

Lateral surface area of Prism = Perimeter of base × Altitude (L.S.A = P × h)

Calculation:

L.S.A = P × h

⇒ h = L.S.A/P = 143/13 = 11 cm

∴ Altitude of the Right Prism = 11 cm

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