Level 3
The figure is not drawn to scale. Mary poured some water into Tank A and Tank B until the water levels in both tanks were the same. She found out that the total amount of water in both tanks was 32 000 mℓ. She then poured another 1200 mℓ of water into Tank A to fill it to the brim. Find the height of Tank A in the end.
3 m
Level 3
The figure is not drawn to scale. It shows a tank made from two connected cubical containers, Cube A and Cube B. The tank is filled with some water. Cube A is 34 filled with 6000 mℓ of water while Cube B is completely filled with water. The height of the water level in Cube A is 4 cm higher than that in Cube B. Water is then drained from the tank and the height of the new water level is 5 cm. What is the volume of the water drained in mℓ?
4 m
Level 3
The perimeter of the rectangular base of a tank is 400 cm. The ratio of its length to its breadth is 3 : 2. When 48 ℓ of water are poured into the tank, 25 of it is filled. Find the height of the tank.
4 m
Level 3
The diagram shows a container made of some identical sections. Figure A shows one section of the container. When 5828 cm3 of water was poured into the container, find the water level in the container.
4 m
Level 3
The figure is not drawn to scale. It shows a container made of two connected cubical tanks, A and B. Tank A is sealed at the top and completely filled to the brim. Tank B is 35 filled with 129600 mℓ of water. The height of the water level in Tank B is 1 cm higher than that in Tank A. The height of Tank B is 60 cm. Water is then drained from the container and the height of the water level from the base falls to 30 cm.
1. What is the capacity of Tank B?
2. What is the volume of water in the tank now in litres?
5 m
Level 3
The figure is not drawn to scale. It shows an empty container made up of a cuboid, measuring 40 cm by 25 cm by 25 cm and 2 similar cubes of sides 5 cm. Line A is 10 cm. 12.5 ℓ of water is poured into the top cube into the cuboid.
1. What is the height of the water level from the base of the container?
2. How much more water in cm3 must be poured in so that the water fills up half of the top cube?
5 m
Level 3
A rectangular tank, 80 cm by 50 cm by 40 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the tank to that in a pail is 5: 2. If 23 of the pail is filled with water, find
1. the volume of the pail.
2. the minimum number of such pails to fill the tank.
4 m
Level 3 PSLE
A and B are two rectangular containers. The base area of A is 30 cm2 and the base of B has dimensions as shown. A contained 750 cm3 of water and B was empty.
1. What was the height of the water level in A?
2. Ben poured some water from A into B without spilling. After that, the height of the water level of A was the same as that of B. How much water did Ben pour into B?
4 m
Level 2
Water is leaking from a tank measuring 125 cm by 84 cm by 110 cm at a rate of 3.5 ℓ per minute. After 5 hours, the tank is empty. What was the depth of water in the tank at first?
2 m
Level 2
A rectangular tank measures 30 cm by 20 cm by 10 cm. Water from a tap flows into the tank at 500 mℓ per minute. How long will it take to fill half of the tank? Express your answer in min.
2 m