 The figure shows a cube. The total length of all the edges of the cube is 156 cm. Find the area of the shaded face. 2 m
PSLE
The block of wood shown was dipped into a pail of paint. The block was then cut into 4 identical cubes along the dotted lines and taken apart. The total unpainted area of the 4 cubes was 216 cm2. What was the volume of each cube? 2 m
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
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
The figure shows a cube with 3 painted parts A, B and C. These painted parts are of the same area and they are touching the midpoints of the sides of the cube. The total area of the painted parts is 96 cm2. Find the volume of 3 such cubes. 3 m
The figure is made up of identical cubes. The total area of the shaded faces is 338 cm2. Find the volume of the solid figure when we add 1 more of such cubes to it. 3 m
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
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
A rectangular block is sprayed black on all the six faces before it is cut Into 36 identical cubes as shown in the diagram. The total surface area of the 36 individual cubes is 576 cm2 more than the surface area of the original block that is sprayed black. What is the volume of the rectangular block? 4 m
The figure is made up of identical cubes. If the volume of the solid is 702 cm3,
1. Find the total surface area of the figure.
2. How many more of such cubes is to be added to form a cube of side 54 cm? 4 m