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The base of a right prism is an equilateral triangle. If the lateral surface area and volume is 120 cm² 40√3 cm³ respectively then the side of base of the prismis
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- 4 cm
- 5 cm
- 7 cm
- 40 cm
- 4 cm
Correct Option: A
Lateral surface area of prism = 3 × side × height
∴ 3 × side × height = 120
| ⇒ Side × height = | = 40 sq.cm.........(i) | |
| 3 |
Volume of prism = Area of base × height
| ⇒ 40√3 = | × (side)² × height | |
| 4 |
| ⇒ | × (side)² × height | |
| √3 |
⇒ (side)² × height = 160 cu.cm ...(ii)
Dividing equation (ii) by (i),
| Side = | = 4 cm | |
| 40 |
