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Question -

Fill in the blanks

(a) Thevolume of a cube of side 1 cm is equal to.....m3

(b) Thesurface area of a solid cylinder of radius 2.0 cm and height 10.0 cm is equalto ... (mm)2

(c) Avehicle moving with a speed of 18 km h–1covers....min 1 s

(d) Therelative density of lead is 11.3. Its density is ....g cm–3or . ...kg m–3.



Answer -

(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 andheight h is

S = 2πr (r + h).

Given that,

r = 2 cm = 2 × 1 cm = 2 × 10mm = 20 mm

h = 10 cm = 10 × 10 mm = 100mm

 = 15072 = 1.5 × 104 mm2

(c) Using the conversion,

1km/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,

Relativedensity =

Density of water = 1 g/cm3

Again, 1g =

1 cm3 = 10–6 m3

1g/cm3 =

11.3 g/cm3 =11.3 × 103 kg/m3

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