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Fill in the blanks (a) The volume of a cube of side 1 cm is equal to .....m3 (b) The surface area of a solid cylinder of radius 2.0 cm and height 10.0 cm is equal to ...(mm)2 (c) A vehicle moving with a speed of 18 km h–1 covers....m in 1 s (d) The relative density of lead is 11.3. Its density is ....g cm–3 or ....kg m–3.
Asked by Arun Last Modified
Answer 
Apoorva Purohit
(a) 1 cm =
Volume of the cube = 1 cm3
But, 1 cm3 = 1 cm × 1 cm × 1 cm =
∴1 cm3 = 10–6 m3
Hence, the volume of a cube of side 1 cm is equal to 10–6 m3.
(b) The total surface area of a cylinder of radius r and height h is
S = 2πr (r + h).
Given that,
r = 2 cm = 2 × 1 cm = 2 × 10 mm = 20 mm
h = 10 cm = 10 × 10 mm = 100 mm
= 15072 = 1.5 × 104 mm2
(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) Relative density of a substance is given by the relation,
Relative density =
Density of water = 1 g/cm3
Again, 1g =
1 cm3 = 10–6 m3
1 g/cm3 = 
∴ 11.3 g/cm3 = 11.3 × 103 kg/m3
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