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?

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?

Level 3 PSLE
Ann had some identitical cuboids with square base and height, h. She then stacked the cuboid to form the 2 towers. The figure shows the front view and the side views of the 2 towers.

1. Find h.
2. Find the volume of the cuboid.

Level 3
The figure shows a tank ⁴₅ filled with water. The tank is made up of two cuboids. The top cuboid has a square base of length 10 m and a height of 16 m. The bottom cuboid has a square base of length 5 m and height 12 m. Find the height of the water level from the base of the container.

Level 3
The figure is not drawn to scale. It shows the net of a solid. It is made up of 4 identical rectangles and 2 identical squares. Line A is 30 cm long and Line B is 15 cm long.

1. Find the volume of the solid.
2. This solid is a cardboard carton containing small boxes of sweets. Each box of sweets is 3 cm by 2 cm by 1 cm. If all these small boxes of sweets in the carton occupy more than 75% of the carton's volume, what is the minimum number of small boxes of sweets in the carton?

Level 3 PSLE
A rectangular block A was cut along the dotted line into two smaller rectangular blocks of equal height, B and C, as shown. The volume of C is 1400 cm³ more than that of B.

1. What is the height of each block?
2. Pete packed 6 of block C such that they fit exactly into a box with a square base. The box has the same height as C. At most, how many of block B can be packed into such a box?

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.

Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.

1. How many small cubes does David have?
2. The volume of the tank is 504 cm³. If the large cubes took up ³₇ of the tank, What is the length of the edge of one small cube?

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?

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?

Level 3
Tank A measuring 40 cm by 17 cm by 146 cm is filled with water. Tank B is with a square base of side 68 cm is empty. Water is poured from Tank A into Tank B until the water level in Tank B is twice the height of the water in Tank A. What is the height of the water level in Tank B?

Level 3
An empty tank measures 50 cm by 20 cm by 35 cm. 3 wooden cubes each of edge 10 cm, are placed in the tank. The tank is then filled with water flowing from a tap at a rate of 8 ℓ per minute.

1. How long will it take to fill up the tank? Express your answer in min.
2. What will be the depth of the water in the tank after 2 wooden cubes are removed?

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.

Level 3
A tank measuring 50 cm by 20 cm by 22 cm, with some cubes placed inside, was filled with 3.875 ℓ of water to the height as shown in Figure 1. Some water was then added into the tank to the height as shown in Figure 2. The total volume of water in the tank then became 8.375 ℓ. What was the volume of one cube?

Level 3
A rectangular tank measuring 48 cm by 18 cm by 26 cm was filled with 18.8 litres of water as shown in Figure 1. When three identical wooden blocks were put into the tank, 794 mℓ of water overflowed from the tank as shown in Figure 2. Find the volume of one such wooden block.

Level 3
Tank A measuring 50 cm by 46 cm by 15 cm contained 34 ℓ of water. Tank B measuring 40 cm by 30 cm by 35 cm contained 18 ℓ of water. Alan poured some water from Tank A into Tank B without spilling and the water level of Tank B rose to 28 cm. What was the height of water level left in Tank A?