Level 1
Find the volume of the cuboid.
1 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
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 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 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 PSLE
Mark glued 15 cubes of side 1 cm to form the solid shown.
  1. Mark painted the whole solid, including the base. What was the total painted area?
  2. Mark added some cubes of side 1 cm to the solid to form a cuboid 3 cm by 5 cm by 5 cm. How many cubes did he add?
2 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 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 3
The figure shows a tank made up of 3 sections. Cuboid A with a square base of side 4 cm and height 30 cm. Cube B with a side of 12 cm. Cuboid C that is 60 cm by 20 cm by 40 cm. Water from a tap above flows down at a rate of 1.2 litres per minute while water is drained out from the bottom at a rate of 1 litre per minute. How long did it take to fill up the tank to a height of 66 cm from the base? Give the answer in minutes correct to nearest whole number.
3 m
Level 3
The figure shows a rectangular tank measuring 55 cm by 22 cm by 24 cm. It was 13 filled with water at first. Dylan turned on a tap and let water flow into the tank at a rate of 1.36ℓ per minute. After 15 minutes, he turned off the tap. How much water had overflowed? (Express the answer in ℓ.)
3 m
Level 3
Shemy placed three empty tanks side by side. The smallest tank has a crack at its side and the base area of each tank is 16 cm2. After she turned on the tap for 64 minutes, the height of the water in the smallest tank became 6 cm although 0.5 mℓ of water is leaking out of the crack per minute. Find the rate of flow of water from the tap. Give the answer in mℓ/min.
3 m
Level 3
Oscar had two identical wooden cuboid measuring 28 cm by 7 cm by 9 cm. He glued them together to form a solid as shown. He then painted the whole solid in white paint. After that, he cut the solid into 1-cm cubes.
  1. How many 1-cm cubes did he get?
  2. How many 1-cm cubes had none of its faces painted white?
3 m
Level 2
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
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 figure shows an empty transparent tank made from three containers. The two containers A and B on top are in the form of cuboids which have square bases of side 6 cm and 4 cm as shown in the figure. The bottom container is in the form of a cube of side 14 cm. 3.42ℓ of water are poured into the empty vase. Find the height of the water level from the base of the vase. (1 litre = 1000 cm3)
3 m
Level 3
The figure shows a rectangular tank measuring 30 cm by 15 cm by 20 cm. Vera poured 558 mℓ of water into the tank. Then she turned on two taps at the same time to fill up Tank with water. Water was flowing from both taps at the same rate. After 5 minutes, both taps were turned off but 1.2ℓ of water had overflowed and was collected in a tray. Find the rate of the flow of water of each tap in millimetres per minute.
3 m
Level 3 PSLE
The figure shows an empty flower vase of height 40 cm. It is made from 2 containers. The top container is in the form of a cuboid which has a square base side 4 cm and height 28 cm. The bottom container is in the form of a cube of 12 cm. 2.16 litres of water is poured into the empty vase. What is the height of the water level from the base of the vase? (1 litre = 1000 cm3 )
3 m