A rectangular tank is 20 m long and 21 m deep. If 10,000 liters of water is drawn off the tank, the

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20 Apr 2022 Area and Volume

A rectangular tank is 20 m long and 21 m deep. If 10,000 liters of water is drawn off the tank, the level of the water in the tank goes down by 1.5 m. How many liters of water can a tank hold ?

OPtion

1) 1,12,000
2) 1,40,000
3) 1,26,000
4) 1,50,000
5) 98,000
6) 84,000
7) 14,000
8) 56,000
9) 70,000
10) None of these

Solution

1 m³ = 1000 litres
.'. 10,000 litres = 10 m³
Let the breadth of a tank = B meters, then volume of water in 1.5 m height = 20*1.5*B = 10 m³
30B=10 ⇒ B=1/3 m
Volume of a tank = L*B*H = 20*(1/3)*21 = 140 m³
Capacity in Litres = 140*1000 = 1,40,000
Option 2) is correct.

Correct Option: 2 Best Solution (1)

Mayank Kandoi   2 years AGO

Dimensions of tank = 20 * x * 21
1 m³ = 1000 litres

Given, 10 = 20 * x * 1.5
Hence, x = 1/3
Total volume = 20 * (1/3) * 21
= 140 m³
= 1,40,000 ltr

Option 2

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