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The base of a right prism is a rightangled triangle whose sides are 5 cm, 12 cm and 13 cm. If the area of the total surface of the prism is 360 cm², then its height (in cm) is
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- 10
- 12
- 9
- 11
- 10
Correct Option: A
Total surface area = Lateral surface area + 2 Area of base = Area of base × height + area of base
⇒ 360 = 30 × h + | × 5 × 12 | |
2 |
⇒ 360 – 30 = 30 × h
⇒ 30h = 330
⇒ h = | = 10 cm. | |
30 |