Level 1
Find the volume of the cuboid.
1 m
Level 1
What is the maximum number of cubes of edge 6 cm that can be cut from a foam cuboid, 67 cm by 36 cm by 27 cm?
2 m
Level 2
The figure shows a piece of paper. When the shaded rectangles A, C, D and square B is cut out, the remaining parts form the net of a cuboid. Area E is a square. Given that the area of A is 18 cm2 and the area of B is 81 cm2, find the volume of the cuboid.
2 m
Level 2
The figure shows cardboard pieces used to form the net of a cuboid. The area of each square piece is 25 cm2 and the area of each rectangular piece is 40 cm2. Find the volume of the cuboid.
2 m
Level 2
A cuboid has a square face of area 49 cm2. The ratio of its length to its breadth is 9 : 7. Find its volume.
2 m
Level 2
The length, breadth and height of a cuboid are in the ratio 8 : 5 : 2. If the length of the cuboid is 30 cm longer than its height, find its volume.
2 m
Level 2
A rectangular tank has a base area of 50 cm2. It is half filled with water. If 4 bottles of water are poured into the tank, 250 mℓ of water will overflow. If 3 bottles of water are poured into the tank, 100 mℓ of water will overflow. Find the height of the tank.
2 m
Level 2
The figure shows the net of a cuboid not drawn to scale. Line A is 50 cm. Line B is 40 cm. Line C is 35 cm. Find the volume of the cuboid.
2 m
Level 1 PSLE
The figure shows a cuboid with a square base and a height of 2 cm. The area of the shaded face is 20 cm2. What is the volume of the cuboid?
1 m
Level 2 PSLE
Jamie formed two cuboids with unit cubes. The length, breadth and height of the bigger cuboid are 2 times those of the smaller cuboid. She used 348 unit cubes to form the smaller cuboid. How many unit cubes did she use to form the larger cuboid?
2 m
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?
4 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
Level 3
The diagram shows 3 containers of different dimensions, each separated by a partition. Tank C, measuring 20 m by 15 m by 21 m, is filled with water to its brim. Tank B is an empty cuboidal container with a length of 10 m. Slider 1 is lifted to release 14 of the water from Tank C to Tank B, after which the partition is slid down to separate Tank C and Tank B. Next, Slider 2 is removed and some water from Tank B flows into Tank A such that the height of the water level of Tank B and Tank A is 7 m.
  1. What is the length of Tank A?
  2. How many m3 of water are there in Tank B?
3 m
Level 3
The figure is not drawn to scale. The tank was 23 filled with water to a height of 30 cm. When a rubber ball was dropped into the tank, the height of the water level was 1.5 cm from the brim of the tank. Find the volume of the rubber ball.
3 m
Level 3
Figure 1 shows a closed rectangular tank of dimensions 40 cm by 40 cm by 80 cm with a cube of edge 20 cm glued to its bottom left corner. The tank contains 70 litres of water. Figure 2 shows the same rectangular tank lying on its side. Find the height of the water level, in centimetres, corrected to 2 decimal places.
3 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. An empty Tank A measures 50 cm by 20 cm by 40.5 cm. Tank B with a base area of 1000 cm2was completely filled with water. Ronald poured 12 of the water from Tank B into Tank A. The water filled 70% of Tank A. What was the height of Tank B? (Correct the answer to 2 decimal places.)
3 m
Level 3
A container, which is 10 cm long, 9 cm wide and 7.55 cm deep, holds 1510 g of sugar. If 4.95 kg of the same sugar is packed into a tin with a 15-cm square base, how tall must the tin be?
3 m
Level 3
A tank, 110 cm by 100 cm by 70 cm, was completely filled with water. It was used to fill 16 bottles, each 3 litres in capacity. What was the height of the water left in the tank after all the bottles were filled. Round off to whole number.
3 m
Level 3
34 of a rectangular tank, 90 cm by 8 cm by 5 cm, is filled with water. A cubical container of edge 18 cm is filled with water to a depth of 15 cm. If the water in the rectangular tank is transferred to the cubical container until it is filled to its brim, how many litres of water will be left in the rectangular tank?
3 m