Level 3
A rectangular tank measuring 35 cm by 26 cm by 12 cm is completely filled with oil. Oil from the tank is poured into an empty cubical container of edge 18 cm until the cubical container is half-filled. What is the height of the oil in the tank after some oil is poured out? Correct the answer to 1 decimal place.
3 m
Level 3
The figure shows two tanks. 25% of Tank A is filled with water. Some of this water is then poured from Tank A to Tank B without spilling. The heights of the water level in both tanks are now equal. Find the height of the water level in Tank A after pouring.
3 m
Level 3
The figure is not drawn to scale. Tank A is filled with water to a height of 10 cm. The water in Tank A is poured into 2 rectangular tanks, Tank B and Tank C, such that the heights of the water in the 3 tanks are equal. Find the volume of water poured out of Tank A in litres.
3 m
Level 3
In the diagram not drawn to scale, Tank J and Tank K each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Tank J measures 134 cm by 42 cm by 137 cm. Tank K measures 55 cm by 21 cm by 68 cm. Tank L is 69 cm by 20 cm by 26 cm. Both holes are located at a height of 14 cm from the top of their respective containers. When Tank J is completely filled with water and both buttons are pressed, what will be the final water level in Tank L?
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 3
The figure is not drawn to scale. Tank A and Tank B have base areas of 1500 cm2 and 1000 cm2 respectively. Water was poured into an empty rectangular Tank A until it reached a height of 20 cm. Some of the water was then poured from Tank A into Tank B which contained 1.5 ℓ of water until the height of the water in both tanks were the same.
  1. Find the new height of the water in Tank A.
  2. How many litres of water were poured into Tank B?
4 m
Level 3
This figure is not drawn to scale. A rectangular glass tank 72 cm by 50 cm by 35 cm has 2 compartments, X and Y, with a water height of 30 cm in X and 15 cm in Y. A hole in the slider caused water to leak from X to Y. It was found that the water level in both compartments became the same after some time.
  1. What is the height of water in the tank now?
  2. It took 112 h for the water in both compartments to reach the same level. Assuming that water leaked at a constant rate, how much water flowed from X to Y in 1 minute? Express the answer to 1 decimal place in cm³.
4 m
Level 3 PSLE
The figure shows the amount of water in two rectangular Tanks, A and B, at first.
Ray poured 14 of the water from A into B to fill it to the top, without overflowing.
  1. How much water was there in A at first?
  2. Ray then poured all the water from B into A. 720 cm3 of water overflowed from A. What was the height of A?
5 m
Level 3
A rectangular tank measuring 120 cm by 50 cm by 100 cm is 50% filled with water. 10 identical pails of water that are completely filled are then scooped out from it. The water level drops to 45 cm. The remaining amount of water in the tank is later poured into a container that contains 40 litres of water. The water is then drained out through a tap found at the bottom of the container at 10 litres per minute.
  1. What is the capacity of each pail?
  2. How long did it take to drain the water from the container completely? Answer in terms of minutes.
5 m