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An open cuboidal cistern is externally 1.6 m long, 1.3 m wide and 53 cm high. Its capacity is 900 litres and its walls are 5 cm thick. The thickness (in cm) of the bottom is:1. 42. 33. 54. 2 |
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Answer» Correct Answer - Option 2 : 3 Given: The length of open cuboidal cistern is 1.6 m. The breadth of open cuboidal cistern is 1.3 m. The height of open cuboidal cistern is 53 cm. The capacity of open cuboidal cistern is 900 litres. The thickness of wall is 5 cm. Formula Used: Volume of Cuboidal = length × Breadth × Height Calculation: The length of open cuboidal cistern = 1.6 m = 160 cm The thickness of wall is 5 cm. The resultant length of open cuboidal cistern = 160 - 2 × 5 = 150 cm The breadth of open cuboidal cistern = 1.3 m = 130 cm The thickness of wall is 5 cm. The resultant breadth of open cuboidal cistern = 130 - 2 × 5 = 120 cm The height of open cuboidal cistern = 53 cm The thickness of bottom is x cm. The resultant height of open cuboidal cistern = (53 - x) cm The capacity of open cuboidal cistern = 900 litres = 900 × 1000 cm3 ⇒ 150 × 120 × (53 - x) = 900 × 1000 ⇒ 180 × (53 - x) = 9 × 1000 ⇒ 20 × (53 - x) = 1 × 1000 ⇒ 53 - x = 50 ⇒ x = 3 ∴ The thickness of bottom is 3 cm. |
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