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Fill in the blanks

(a) The volume of a cube of side 1cm is equal to ________ m 3
(b) The surface area of a solid cylinder of radius 2.0cm and height 10.0cm is equal to ________ (mm) 2
(c) A vehicle moving with a speed of 18km/h covers ________ metres in one second.
(d) The relative density of lead is 11.3. Its density is ________ g/cm 3 or ________kg/m 3

1 Answer

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Final answer:

The volume of a cube with a side length of 1cm is 1 cm³. The surface area of a cylinder with a radius of 2.0cm and height of 10.0cm is 640 mm². A vehicle moving at 18km/h covers 5 metres in one second. The density of lead is 11.3 g/cm³ or 11300 kg/m³.

Step-by-step explanation:

(a) The volume of a cube of side 1cm is equal to 1 cm³. To find the volume of a cube, you simply cube the length of one side. In this case, 1 × 1 × 1 = 1 cm³.

(b) The surface area of a solid cylinder of radius 2.0cm and height 10.0cm is equal to 640 mm². The formula for the surface area of a cylinder is 2πrh + 2πr². Plugging in the values, we get 2 × 3.14 × 2.0 × 10.0 + 2 × 3.14 × 2.0² = 640 mm².

(c) A vehicle moving with a speed of 18km/h covers 5 metres in one second. To convert km/h to m/s, divide the speed by 3.6. So, 18 ÷ 3.6 = 5 m/s. And in one second, it covers a distance of 5 metres.

(d) The relative density of lead is 11.3. Its density is 11.3 g/cm³ or 11300 kg/m³. Density is calculated by dividing the mass of an object by its volume. Relative density is the ratio of the density of the substance to the density of water.

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