Solved Questions on Capacity
1. This tank contains 7.8 hectolitres and 270 litres of water. Water consumption is 574 litres and 375 decilitres. What volume of water is left in the tank?
a) 418 litres 5 decilitres
b) 418 litres 25 decilitres
c) 438 litres 5 decilitres
d) 438 litres 25 decilitres
Answer: c) 438 litres 5 decilitres
Explanation: Volume/Capacity of the tank = 7.8 hectolitres 270 litres
= 7.8 hectolitres + 270 litres
= 7.8 × 100 litres + 270 litres
= 780 litres + 270 litres
= 1050 litres
= 1050 × 10 decilitres
= 10500 decilitres
Volume of water consumption = 574 litres 375 decilitres
= 574 litres + 375 decilitres
= 574 × 10 decilitres + 375 decilitres
= 5740 decilitres + 375 decilitres
= 6115 decilitres
Volume of water left in the tank = (10500 − 6115) decilitres
= 4385 decilitres
= 4380 decilitres + 5 decilitres
= (4380/10) litres + 5 decilitres
= 438 litres + 5 decilitres
= 438 litres 5 decilitres
2. What is the total capacity of the given bottles in centilitres?
a) 15375 centilitres
b) 1537.5 centilitres
c) 153.75 centilitres
d) 15.375 centilitres
Answer: b) 1537.5 centilitres
Answer: b) 1537.5 centilitres
Explanation: Total capacity of the given bottles in millilitres = 7000 + 5000 + 1500 + 1000 + 500 + 375
= 15375 mL
Total capacity of the given bottles in centilitres = 15375 mL ÷ 10
= 1537.5 centilitres
3. The capacity of Tank B is 13.5 gallons less than the capacity of Tank A. The capacity of Tank C is 23 gallons more than the capacity of Tank A. What is the capacity of Tank B in pints if the capacity of Tank C is 47 gallons?
a) 5 pints
b) 21 pints
c) 42 pints
d) 84 pints
Answer: d) 84 pints
Explanation: Capacity of tank C = 47 gallons
The Capacity of Tank C is 23 gallons more than the capacity of Tank A. Thus, the capacity of tank A is 23 gallons less than the capacity of tank C.
Capacity of tank A = (Capacity of tank C − 23) gallons
= (47 − 23) gallons
= 24 gallons
The capacity of Tank B is 13.5 gallons less than the capacity of Tank A.
Capacity of tank B = (Capacity of tank A − 13.5) gallons
= (24 − 13.5) gallons
= 10.5 gallons
Capacity of tank B in pints = 10.5 gallons × 8
= 84 pints
4. The amount of water in the small bucket is two-fifths times the capacity of the large bucket. What is the amount of water in small bucket in quarts if the water in the large bucket is 2865 pints?
a) 573 quarts
b) 859.5 quarts
c) 1146 quarts
d) 1432.5 quarts
Answer: a) 573 quarts
Explanation: Amount of water in the large bucket = capacity of the large bucket
= 2865 pints
The amount of water in the small bucket is two-fifths of the capacity of the large bucket.
Amount of water in the small bucket = 2/5 × Capacity of the large bucket
= 2/5 × 2865 pints
= 1146 pints
Amount of water in the small bucket in quarts = 1146 pints ÷ 2 (since 1 quart = 2 pints)
= 573 quarts
5. The water tank is empty initially. It is being filled from the top at a rate of 37 litres per hour, while simultaneously being drained from the bottom at a rate of 15 litres per hour. After 7 hours, how much water will be left in the tank?
a) 77 litres
b) 115.5 litres
c) 154 litres
d) 192.5 litres
Answer: c) 154 litres
Explanation: Amount of water filled in a tank in one hour = 37 L
Amount of water drained from a tank in one hour = 15 L
Net amount of water added in an hour in the tank = 37 − 15 = 22 L
Amount of water filled in 7 hours in the tank = 22 × 7
= 154 L
The amount of water left in the tank after 7 hours is 154 litres.
