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Class 7 Mathematics: questions and answers on volume: Capacity

In this session, we are going to solve class 7 mathematics questions on capacity. Answers are available in video format.

Lessons (48)

• 1.    A rectangular tank of height 2.5 m has a base measuring 1.5 m by 2.0 m. This tank was full of water. After a day’s use, the level of water fell to 2.1 m. How many litres of water were used? (1#m^3#= 1000litres) A. 1200 B. 6300 C. 7500 D. 1200000
  5m 34s

• 2.    Fifty half-litre packets of milk were repacked into 2- decilitre packets. How many 2-decilitre packets were used? A. 100 B. 125 C. 25 D. 250
  4m 2s

• 3.    The internal measurements of a rectangular tank are length 0.6m, width 0.5, height 0.4m. How many litres of water are required to fill the tank? A. 120 B. 1200 C. 12000 D. 120000
  3m 0s

• 4.    A cylindrical tank whose internal diameter is 140cm contains 1155 litres of water. What is the height of the water tank? (Take #pi=22/7# and 1 litre =1000#cm^3#) A. 75 cm B. 18.75cm C. 2625.0cm D. 0.075cm
  5m 13s

• 5.    A cylindrical container has a diameter of 20cm and is 12 cm high. It contains orange juice up to height of 5cm. Water is added to fill the container completely. How many cubic centimeters of water is added? (Take =3.14) A. 1570 B. 2198 C. 3768 D. 8792
  3m 41s

• 6.    A rectangular container has a square base of side 60cm. its height is 90cm. How many litres of water does it hold when full? A. 0.324 B. 324 C. 3240 D. 324000
  4m 7s

• 7.    A cylindrical container of internal diameter 28cm is full of water. The height of the water is 30cm. How many litres of water is this? (Take #pi=22/7#) A. 1.848 B. 18.48 C. 1848 D. 184.8
  4m 16s

• 8.    A cylindrical tank of diameter 5.6 m contains 73.92 #m^3# of water. What is the depth of the water in the tank? (Take #pi=22/7#) A. 0.75 m B. 3.0 m C. 0.3 m D. 4.2 m
  4m 47s

• 9.    A school received 128 litres of milk packed into 2- decilitre packets. If the packets were in crates each holding 32 packets, how many crates were received? A. 20 B. 8 C. 4 D. 2
  4m 8s

• 10.    A rectangular container holds 5 litres of liquid when full. The base of the container is 40cm long and 20cm wide. What is the height of the container in centimeters? A. 0.625 B. 6.25 C. 62.5 D. 625
  4m 21s

• 11.    Wanja had 8 cylindrical containers, each of base area 616#cm^2# and height 33cm full of water. She used the water to fill an empty rectangular tank of volume 162000#cm^3#. How many litres of water remained when the tank was full? A. 62.624l B. 162l C. 624l D. 0.624l
  6m 15s

• 12.    A rectangular tank of base 5m long and 4 m wide has water 2 m deep. How many litres of water are in the tank? A. 40l B. 400l C. 4000l D. 40000l
  2m 27s

• 13.    A cylindrical tank has internal radius 1.4 m and height 5 m as shown in the diagram below. What is the capacity of the tank in litres? (Take#pi=22/7#) A. 30800l B. 3080l C. 308l D. 30.8l
  3m 23s

• 14.    A cylindrical container of radius 70 cm is 200 cm deep. The container if filled with water to depth of 140cm. What is the volume of water, in cubic metres needed to fill the remaining part of the container? (Take #pi=22/7#) A. 0.0264#m^3# B. 0.924#m^3# C. 2.156#m^3# D. 3.08#m^3#
  6m 10s

• 15.    A cylindrical tank has internal measurements of height 2 m and diameter 2.8 m. What is the capacity of the tank in litres? (Take #pi=22/7#) A. 49280 B. 12320 C. 176 D. 12.32
  3m 52s

• 16.    A rectangular container measures 50 cm by 60cm by 80 cm. How many deciliters of water does it hold when full? A. 240 B. 2400 C. 24000 D. 240000
  3m 46s

• 17.    A rectangular water tank is 6 metres long, 4 metres wide and 3 metres high. How many litres of water does the tank hold when full? A. 72l B. 7200l C. 72000l D. 72000000l
  2m 45s

• 18.    A shopkeeper bought 10 cartons of milk. A carton had 72 packets each of 500ml. How many litres of milk were bought by the shopkeeper? A. 360000l B. 36000l C. 3600l D. 360l
  4m 7s

• 19.    A rectangular tank is filled with 6000litres of water. The base area of the tank is 30000 square centimeters. What is the height of the tank in metres? A. 0.2 B. 2 C. 20 D. 200
  4m 36s

• 20.    A circular tank of radius 1.4 metres and height 2 metres is full of water. How much water in litres is in the tank? (Take #pi=22/7#) A. 17600 B. 12320 C. 6160 D. 12.32
  3m 42s

• 21.    Twenty-four 5- decilitre packets of milk were emptied into a 50- litre container. How many more such packets of milk were needed to fill the container? A. 100 B. 76 C. 52 D. 38
  5m 41s

• 22.    A cylindrical tank of diameter 1.4 m and a height of 1.6 m is #3/4# full of water. How many more litres are needed to fill it? (Take#pi=22/7#) A. 2464l B. 1848l C. 1760l D. 616l
  6m 3s

• 23.    A rectangular container measures 75 cm by 50 cm by 1 m. What is the capacity of the container in litres? A. 3750l B. 375l C. 37.5l D. 3.75l
  4m 55s

• 24.    One hundred and twenty litres of juice is packed in two deciliter packets. How many packets are needed? A. 60 B. 600 C. 6000 D. 60000
  2m 55s

• 25.    A container of volume 1 cubic metre is full of juice. The juice is then poured into five-litre containers. How many such containers are used? A. 2 B. 200 C. 2000 D. 200000
  2m 28s

• 26.    A rectangular container 45cm long and 25 cm wide was full of water. After removing 22.5litres of the water, the level of water became 4 cm high. What was the height of the container? A. 24cm B. 20cm C. 16cm D. 6cm
  7m 19s

• 27.    Twenty litres of milk was given to a class of 50 pupils to share equally. How many deciliters of milk did each pupil get? A. 0.4 B. 4 C. 40 D. 400
  2m 40s

• 28.    A fruit vendor prepared juice which filled eight 3- litre containers. He later put juice in 2-decilitre bottles for sale. How many such bottles of juice did he get? A. 12 B. 120 C. 1200 D. 12000
  3m 33s

• 29.    A cylindrical container has an internal radius of 7cm and height of 5cm. what is the capacity in litres? (Take #pi=22/7#) A. 0.77 B. 7.7 C. 77 D. 770
  3m 2s

• 30.    What is the capacity of a container which measures 1.5m by 1.0m by 0.5m in litres? A. 7500 B. 750 C. 75 D. 7.5
  2m 51s

• 31.    A rectangular tank whose base measures 1.2m by 80cm contains water to a height of 1.5m. How much water in litres is in the tank? A. 14.4 B. 144 C. 1440 D. 14400
  6m 59s

• 32.    A saleslady had 2240 litres of juice which she packed in 500ml and 250ml packets. Three-quarters of the juice was packed in 500ml packets and the rest 250ml packets. What was the total number of the packets used? A. 56 B. 560 C. 5600 D. 56000
  8m 31s

• 33.    A cylindrical tank of diameter 105cm contains 485.1 litres of water. What is the height of the water in the tank? (Take #22/7#) A. 5.6cm B. 56cm C. 224cm D. 1470cm
  5m 24s

• 34.    A rectangular container is 2 m long, 0.9 m wide and 2.5 m high. The container has water to a height of 1.5m. how much more water in litres is needed to fill the container. A. 1800 B. 2700 C. 4500 D. 1000
  4m 39s

• 35.    A rectangular water tank whose base is 1.5m by 0.5m is to be filled with water using 50 litres containers. How many such containers will be required to fill the tank to a height of 1 metre? A. 15 B. 1.5 C. 150 D. 1500
  4m 14s

• 36.    A family uses 5 deciliters of milk each day. How many litres of milk altogether would the family use in the months of June and July? A. 305 B. 30.5 C. 30.0 D. 3.05
  3m 20s

• 37.    Paint was stored in three containers of 48 litres, 72 litres and 30 litres. The paint in each container was the repacked into smaller containers. The amount of paint in each of the smaller containers was the same. What was the capacity of the largest container used to repack the paint? A. 3 litres B. 6 litres C. 72 litres D. 720 litres
  3m 51s

• 38.    A factory packs water in half litre, one litre, two litre and five litre bottles. On a certain day, the factory 20840 bottles of water. Out of these, 8120 were half litre bottles and 3960 were two litre bottles. One litre bottles were 2000 more than the two litre bottles. The rest were five litre bottles. How many five litre bottles were there? A. 2800 B. 6760 C. 6800 D. 18040
  7m 7s

• 39.    Safi packed 15 cartons each containing 20 bottles of juice. The amount of juice in each bottle was 500ml. what was the total amount of juice in litres packed by Safi? A. 150 B. 1500 C. 15000 D. 150000
  4m 5s

• 40.    A cylindrical water tank has a diameter of 1.4 m and a height of 4 . how many litres of water will it hold when full? (Take #pi=22/7#) A. 6.16 B. 61.6 C. 616 D. 6160
  3m 45s

• 41.    A rectangular tank is 7.5 m long, 5 m wide and 3.2 m high. How many litres of water can it hold when full? A. 120 B. 1200 C. 12000 D. 120000
  2m 50s

• 42.    A tank contained 22.5#m^3# of water. More water was poured into the tank at the rate of 1.45#m^3# per minute. The tank was full at the end of 30 minutes. What is the capacity of the tank in litres? A. 23950 B. 43500 C. 66000 D. 718500
  4m 4s

• 43.    The volume of water in a pond is 1084 #m^3#. What is the amount of water in litres? A. 10840000 B. 1084000 C. 108400 D. 10840
  1m 53s

• 44.    A children’s home was supplied with 40 cartons of milk. Each carton contain 60 two-hundred milliliter packets of milk. How many litres of milk were supplied? A. 480000 B. 4800 C. 2400 D. 480
  4m 7s

• 45.    A cylindrical tank whose height is 3.5 m has a diameter of 2.8 m. If it is #3/5# full of water, how many more litres are needed to fill the tank? (Take #pi=22/7#) A. 8624 B. 12936 C. 21560 D. 34496
  6m 27s

• 46.    A cylindrical container has a radius of 7m and height of 20m. How many litres of oil can it hold when full? (Take #22/7#) A. 3080 B. 30800 C. 308000 D. 3080000
  3m 12s

• 47.    A rectangular water tank whose base measures 5.2 m by 4 m has a height of 3 metres. The tank is three quarter full. How many litres of water are needed to fill the tank? A. 62400 B. 46800 C. 15600 D. 15.6
  4m 51s

• 48.    A cylindrical water tank has a diameter of 4 m and a height of 4.2 m. One hundred and twenty litres of water is used daily for domestic purposes and a similar amount for the animals. How many days will the water in the tank last if full to capacity? (Take #22/7#) A. 880 B. 440 C. 220 D. 22
  6m 59s