Question 6 - Chapter 13 Class 9 Surface Areas and Volumes (Important Question)

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Ex 13.5, 6 - A village, having a population of 4000 requires - Ex 13.5

Ex 13.5, 6 - Chapter 13 Class 9 Surface Areas and Volumes - Part 2

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Ex 13.5, 6 A village, having a population of 4000, requires 150 litres of water per head per day. It has a tank measuring 20 m Γ— 15 m Γ— 6 m. For how many days will the water of this tank last? Number of days water will last = (π‘‰π‘œπ‘™π‘’π‘šπ‘’ π‘œπ‘“ π‘‘π‘Žπ‘›π‘˜ )/(π‘‡π‘œπ‘‘π‘Žπ‘™ π‘€π‘Žπ‘‘π‘’π‘Ÿ π‘Ÿπ‘’π‘žπ‘’π‘–π‘Ÿπ‘’π‘‘ π‘π‘’π‘Ÿ π‘‘π‘Žπ‘¦) Here, 𝑙 = 20 m, b = 15 m and h = 6 m. Volume of the tank = 𝑙 Γ— b Γ— h = (20 Γ— 15 Γ—6) m3 = 1800 m3 Water required per person per day = 150 litres Water required for 4000 person per day = (4000 Γ— 150) litres = 4000 Γ— 150 Γ— (1/1000) m3 = 600 m3 Number of days water will last = (πΆπ‘Žπ‘π‘Žπ‘π‘–π‘‘π‘¦ π‘œπ‘“ π‘‘π‘Žπ‘›π‘˜ )/(π‘‘π‘œπ‘‘π‘Žπ‘™ π‘€π‘Žπ‘‘π‘’π‘Ÿ π‘Ÿπ‘’π‘žπ‘’π‘–π‘Ÿπ‘’π‘‘ π‘π‘’π‘Ÿ π‘‘π‘Žπ‘¦) = ((1800 π‘š3)/(600 π‘š3)) = 30 Thus, the water will last for 30 days. Number of days water will last = (π‘‰π‘œπ‘™π‘’π‘šπ‘’ π‘œπ‘“ π‘‘π‘Žπ‘›π‘˜ )/(π‘‡π‘œπ‘‘π‘Žπ‘™ π‘€π‘Žπ‘‘π‘’π‘Ÿ π‘Ÿπ‘’π‘žπ‘’π‘–π‘Ÿπ‘’π‘‘ π‘π‘’π‘Ÿ π‘‘π‘Žπ‘¦) = ((1800 π‘š3)/(600 π‘š3)) = 3 Thus, the water will last for 3 days.

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