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Write down an equation that defines density. (b) 5 kg of material A occupies 20 cm^3 whereas 20 kg of material B occupy 90 cm^3. Which has the greater density A or B?

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(a) Write down an equation that defines density.

(b) 5 kg of material A occupies 20 cm3 whereas 20 kg of material B occupy 90 cm3. Which has the greater density A or B? Support your answer with calculations.

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(a) Density of substance

= \(\frac{Mass\;of\;substance}{volume\;of\;substance}\)

(b) For material A

Mass = 5kg

Volume = 20 cm3

= 20 x 10-6 m3

Density of material A

= \(\frac{5}{20 \times 10^{-6}}\)

= 0.25 x 106 kg/m3

For material B

Mass = 20 kg

Volume = 90 cm3 = 90 x 10-6 m3

Density of material A = \(\frac{20}{90 \times 10^{-6}}\)

= 0.22 x 106 kg/m3

Density of material A is more than density of material B.

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