Level 3 PSLE
The figure shows a solid made up of identical cubes glued together. The surface area of the solid, including the base is painted blue. The volume of the solid is 1750 cm3. What is the total surface area that is painted blue?
3 m
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 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 2
The length of cube A is 3 times the length of cube B. Find the ratio of the volume of cube A to cube B.
2 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
Level 3
Helen used a ribbon of length 1 m 40 cm to tie a cubical gift box with a bow as shown. She used 36 cm of ribbon for the bow. What was the volume of the gift box?
3 m
Level 3
The figure shows 2 identical containers each holding 202 cm3 of water. The volumes of the water, the cubes and balls in Tank G and Tank H are 646 cm3 and 1183 cm3 respectively. What is the volume of each ball? Give the answer in cm3.
3 m
Level 3
The diagrams are not drawn to scale. Diagram 1 shows a rectangular tank containing 6 identical cubes and filled to the brim. It had a length of 40 cm and a breadth of 10 cm. In Diagram 2, four cubes were removed from the same tank and the water level dropped by 2.16 cm. After that, a certain amount of water was drained off the tank until the water level reaches the same height as the remaining cubes. Find the volume of the water in the tank in Diagram 2 in the end. Give the answer in litres.
3 m
Level 3
The length of Cube X is 3 times that of the length of Cube Y. The volume of Cube Y is 64 cm3. Find the difference between the volume of the two cubes.
3 m