Level 3
A rectangular tank has a volume of 1920 cm3. Given that the ratio of its length to its breadth is 5 : 3 and its height is 8 cm, find the length of the tank.
3 m
Level 2
Mrs Tan had 10 ℓ of orange juice. She used 12 of the orange juice for a picnic and 25 of the remaining orange juice to bake orange-flavoured cookies. How much orange juice did she have left? Give your answer in litres.
2 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
A rectangular tank was 45 filled with water. After 56 litres of water was poured out from the tank, it became 110 full. How many litres of water were there in the tank at first?
3 m
Level 2
The width and height of the cuboid are the same. Its length is twice of its width. Find the volume of the cuboid.
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
Level 3
A cuboid has a volume of 300 cm3. Its base is a rectangle which has a perimeter of 32 cm. The ratio of the length to the breadth of the rectangle is 5 : 3. Find its height.
3 m
Level 3
The solid figure is made up of 6 identical cubes of edge 7 cm.
  1. Find the volume of the solid figure.
  2. Find the total surface area of the solid figure.
3 m
Level 3
The area of one face of the wooden cube is 3600 cm2. A carpenter cut the wooden cube into three cuboids of identical size. After gluing the cuboids together to make a solid figure as shown, he painted all the surfaces of the solid figure red. What was the total surface area of the solid figure that had been painted red?
3 m
Level 3
The solid figure is made up of 3-cm cubes.
  1. Find its volume.
  2. If the solid figure is placed on the floor and some paint is poured onto the solid figure such that all the exposed sides are coated with paint, how many cubes will have only two of its faces covered with paint?
3 m
Level 3
An iron cube of side 8 cm is melted and recast into a cuboid which has a square base of side 4 cm. What is the height of the cuboid?
3 m
Level 3
The figure shows a cuboid that is formed by putting 12 identical cubes together. The volume of the cuboid is 96 cm3. Find the height of the cuboid.
3 m
Level 2
Silas puts ten 1-cm cubes into a transparent tank.
  1. What is the volume of the transparent tank?
  2. How many more 1-cm cubes are needed to fill up the whole tank completely?
3 m
Level 2
The solid is made up of cubes of edge 3 cm. How many cubes must be added to form a cuboid 24 cm by 12 cm by 9 cm?
3 m
Level 2 PSLE
Min has two rectangular boxes A and B . The length, breadth and height of Box A are thrice those of Box B. She packed 12 identical cubes exactly into the small box. How many such cubes can be packed exactly into Box A? (The diagram is not drawn to scale.)
3 m
Level 2
The figure is made up of 2-cm cubes. How many more cubes are needed to form a cube of volume 216 cm3?
3 m
Level 2
How many more unit cubes must be added to solid A so that it becomes a cube of 3-cm edge?
3 m
Level 3
Alice is trying to form a 6-cm cube using 1-cm cubes. How many more 1-cm cubes does she need to form the 6-cm cube?
3 m
Level 3
Joshua placed a toy in an empty rectangular tank 150 cm long and 50 cm wide. He then filled the tank with water flowing from a tap at a rate of 5 ℓ per minute. It took 3 minutes to fill the tank to a depth of 6.5 cm to cover the toy completely. Find the volume of the toy. Express your answer in cm3.
4 m
Level 2
In the figure, a fish tank measuring 42 cm by 25 cm by 28 cm was filled with water to its brim. Then, 10.08 ℓ of water was removed from the fish tank. Find the volume of water left in the tank. Express your answer in ℓ.
3 m