Question:
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^–1covers....m in 1 s

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

Answer:

Length of edge  = 1 cm 
Volume of the cube = 1 cm³

But, 

1 cm³ = 1 cm × 1 cm × 1 cm = (1/100)m x (1/100)m x (1/100)m

∴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

18km/h = 18 x 5/18 = 5 m/s

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 Substance / Density of Water

Density of water = 1 g/cm³

Again, 1g = 1/1000 kg

1 cm³ = 10^–6m³

1 g/cm³ = 10^-3 / 10^-6 kg/m³ = 10³ kg/m³

∴ 11.3 g/cm³ = 11.3 × 10³ kg/m³

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