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**Facts that Matter**

- Total surface area of a cuboid = 2[â„“b + bh + â„“h]
- Total surface area of a cube = 6(side)
^{2} - Lateral surface area of a cuboid = Area of walls of a room = 2(â„“ + b) x h
- Lateral surface area of a cube = 4a
^{2} - Curved surface area of cylinder = 2Ï€rh
- Total surface area of a cylinder = 2Ï€r(r + h)
- Curved surface area of a cone = Ï€râ„“
- Total surface area of a cone = Ï€r(r + â„“)
- Surface area of a sphere = 4Ï€r
^{2} - Curved surface area of a hemisphere = 2Ï€r
^{2 } - Total surface area of a hemisphere = 3Ï€r
^{2} - Volume of a cuboid = â„“ x b x h
- Volume of a cube = (side)
^{3} - Volume of a cylinder = Ï€r
^{2}h - Volume of a cone =
- Volume of a hemisphere = .
- Volume of a sphere =
- 1000 cm
^{3}= 1 litre

**SOLIDS AND THEIR SURFACE AREAS**

The bodies occupying space are called solids, such as a cuboid, a cube, a cylinder, a cone, a sphere, etc. These solids have plane or curved surfaces.**SURFACE AREA OF A CUBOID AND A CUBE**

The outer surface of a cuboid is made up of six rectangles. If we take the length of the cuboid as â„“, breadth as b and the height as h, then Surface area of a cuboid = 2[lb + bh + hl]

Let us recall that a cuboid whose length, breadth and height are equal is called a cube. Let each edge of the cube be â€˜aâ€™, then Surface area of a cube = 6a^{2}

Note:I. Sometimes a cuboid does not have bottom and top faces. In such cases the area of four facesis called the lateral surface area.

II. Lateral surface area of a cuboid is 2(â„“ + b)h.

III. Lateral surface area of a cube is 4a^{2}.

IV. Surface area of a cuboid or cube means total surface area.

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