Level 3
The figure shows a rectangular container with a square base of area 16 cm2. The area of the shaded face is 36 cm2.
  1. What is the height of the container?
  2. James filled a third of the container with water. Find the volume of the water.
3 m
Level 3
The following tank has a square base of side 40 cm. It is filled with water to a height of 8 cm. If 32 ℓ more of water is needed to fill the tank completely, what is the height of the tank?
3 m
Level 3
Water flows into a tank at the rate of 45 ℓ per minute. After 10 min, the tap is turned off and the tank is 0.6 filled with water.
  1. How much more water is needed to fill it to the brim?
  2. The water in the tank is then poured into containers each 1.5 m long, 0.3 m wide and 10 cm high. What is the minimum number of containers needed?
4 m
Level 3
A tank with a base measuring 60 cm by 10 cm had two leaks at 400 cm3 per minute and 300 cm3 per minute respectively. If the water level was 15 cm originally, what would be the height of water in the tank after 6 minutes?
4 m
Level 2
A rectangular tank measuring in 40 cm by 15 cm by 20 cm is 25 filled with water. How much water is needed to fill the tank to 50% of the capacity? Give your answer in litres.
3 m
Level 3
An open tank of depth 20 cm has a horizontal base of length 40 cm and breadth 25 cm. Two wooden cubes, of side 8 cm and 10 cm respectively, rest on the base of the tank.
  1. Find the capacity of the tank.
  2. How much water must be poured into the tank so that the tank is half filled?
3 m
Level 3
A tank with a base measuring 60 cm by 10 cm had two leaks at 400 cm3 per minute and 300 cm3 per minute respectively. If the water level was 15 cm originally, what would be the height of water in the tank after 6 minutes?
4 m
Level 3
A rectangular container measuring 55 cm by 50 cm by 23 cm was 110 filled with water. Mary turned on a tap at 9.36 p.m. to fill more water into the container. She turned off the tap at 9.59 p.m. The container was 910 filled with water. Given that the water flowed out of the tap at the same rate, find the volume of water that flowed out of the tap in a minute. Give your answer in litres.
4 m
Level 3
Tank P measuring 40 cm by 24 cm by 36 cm is 56-filled with water. The water is then poured into another tank, Tank Q measuring 24 cm by 20 cm by 18 cm until it is full. What is the volume of water left in Tank P? Give your answer in cubic centimetres.
3 m
Level 3
At first, 13 of Container B was filled with water and Container C was empty. Then, both taps were turned on at the same time and water from both taps flowed at the same rate of 2.2 litres per minute. Both taps were turned off immediately when Container B was filled to the brim.
  1. How much water was there in Container B at first?
  2. How long did it take for the water from the tap to fill Container B to the brim?
  3. What fraction of Container C was filled with water in the end? Give your answer in the simplest form.
4 m
Level 3
Jean had an empty container of capacity 700 cm3 and a 5-cm square base tank filled with water to a height 9 cm. She filled the container with some water until it is 34 full. She then transferred half of the water from the container into the tank. How much water was there in the tank now?
3 m
Level 3
A rectangular tank measuring 50 cm by 60 cm by 40 cm was completely filled with water. If the water was used to fill some cubical containers of edge 20 cm, how many cubical containers would be fully filled?
3 m
Level 3
Cubical Tank P has a length of 36 cm and is 79 filled with water. Some of the water is poured into an empty rectangular fish tank measuring 50 cm long, 18 cm wide and 26 cm high until it is completely full.
  1. What is the volume of water in Tank P at first? Give your answer in cm3
  2. What is the volume of water left in Tank P? Give your answer in litres.
3 m
Level 3
A rectangular tank measuring 50 cm by 36 cm by 27 cm was 34 filled with water. The water was used to fill up some bottles of capacity 2 ℓ each. How many bottles were filled completely?
3 m
Level 3
13 of the container is filled by 7 bottles of apple juice.
  1. What fraction of the container is not filled?
  2. How many more similar bottles of apple juice are needed to fill the container completely?
4 m
Level 3
A rectangular tank, measuring 30 cm by 25 cm by 40 cm, was filled with water. Ben poured all the water into 1.5 ℓ bottles. After filling 4 bottles, how many more bottles could Ben fill?
3 m
Level 3
A container measuring 25 cm by 16 cm by 48 cm was 13 filled with water at first. James poured some water into the container. In the end, the height of the water level in the container was 20 cm as shown.
  1. How much water did James pour into container? Give your answer in mℓ.
  2. James then poured all the water in the container into several identical jugs. Given that each jug can hold at least 1.25 ℓ of water, what is the least number of jugs he would need?
3 m
Level 3
A rectangular tank, measuring 20 cm by 12 cm by 15 cm, was completely filled with water. All the water was poured into identical cubical containers of side 8 cm. What was the least number of containers used?
3 m
Level 3
The figure is not drawn to scale. A tank has a square base area of 81 m2. It was filled with water to a height of 2 m. Freda added 18 pails of water and the height of the water level rose to 13 m. Find the volume of each pail. Give your answer in m3.
3 m
Level 3
310 of the tank is filled with water. Another 210 litres of water are needed to fill the tank to its brim.
  1. What is the volume of the tank?
  2. The Height of the tank is 60 cm and its length is 100 cm. Find the perimeter of its base.
4 m