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The base of a right prism is an equilateral triangle of area 173 cm² and the volume of the prism is 10380 cm³. The area of the lateral surface of the prism is (use √3 = 1.73)
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- 1200 cm²
- 2400 cm²
- 3600 cm²
- 4380 cm²
- 1200 cm²
Correct Option: C
Volume of right prism = Area of the base × height
⇒ 10380 = 173 × h
| ⇒ h = | = 60 cm | |
| 173 |
Now, Area of triangle
| = | × (side)² | |
| 4 |
| ⇒ 173 = | × (side)² | |
| 4 |
| ⇒ 173 = | × (side)² | |
| 4 |
∴ Perimeter = 3 × 20 = 60 cm
∴ Area of the lateral surface = Perimeter of base × height = 60 × 60 = 3600 sq.cm.
