Choose the incorrect statement from the given ones:
1. | The volume of a cube of side \(1~\text{cm}\) is equal to \(10^{-6}~\text{m}^2\). |
2. | The surface area of a solid cylinder of radius \(2.0~\text{cm}\) and height \(10~\text{cm}\) is equal to \(1.5\times10^{4}~\text{mm}^2\). |
3. | A vehicle moving with a speed of \(18~\text{km/h}\) covers \(5~\text m\) in \(1~\text s\). |
4. | The relative density of lead is \(11.3\). Its density is \(11.3~\text{g/cm}^3\). |
So, 1 cm = 1/100 m=
The volume of the cube = 1 cm × 1 cm × 1 cm =
Hence, the volume of a cube of side 1 cm is equal to .
(b) The total surface area of a cylinder of radius r and height h,
S = 2r(r + h).
Given that, r = 2 cm = 2 × 1 cm = 2 × 10 mm = 20 mm
h = 10 cm = 10 × 10 mm = 100 mm
(c) Using the conversion,
1 km/h =
Therefore, distance can be obtained using the relation:
Distance = Speed × Time = 5 × 1 = 5 m
Hence, the vehicle covers 5 m in 1 s.
(d)The relative density of a substance is given by the relation,
Relative density =
The density of water = 1
The density of lead = Relative density of lead Density of water
= 11.3 x 1 = 11.3
Again, 1g =
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