Level 3
This figure is not drawn to scale. A rectangular cuboid has been divided into 4 parts, A, B, C and D. The volume of A, B and C are in the ratio of 1 : 2 : 6. A is a cube and has a volume of 64 cm3. Find the total area of the shaded parts.
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 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