Question

An object of area 15cm and height 2cm has a mass of 50gm what is its density in SI system

Answer 1

SoluTion :

✴ Given :-

• Area of object = 15cm$^2$
• Height of object = 2cm
• Mass of object = 50g

✴ To Find :-

• Density of object in SI unit

✴ Formula :-

▪ Density of object is defined as the ratio of mass of object to the volume of object.

$\boxed{\sf{\pink{\large{Density=\dfrac{Mass}{Volume}}}}}$

✴ Calculation :-

$\implies\sf\:Density=\dfrac{50\times 10^{-3}}{15\times 2\times 10^{-6}}\\ \\ \implies\sf\:Density=\dfrac{50\times 10^3}{30}\\ \\ \implies\:\boxed{\sf{\purple{\large{Density=1666.67\:kg m^{-3}}}}}$

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• Density is a scalar quantity.
• Relative density is defined as ratio of density of substance to the density of water.
• Volume = Area × Height

Answer 2

Given ,

Mass (m) = 50 g or 50 × (10)^-3 kg

Area (a) = 15 cm² or 15 × (10)^-4 m²

Height (h) = 2 cm or 2 × (10)^-2 m

We know that ,

The mass per unit volume of an object is called density

Thus ,

$\sf \hookrightarrow Density = \frac{50 \times {(10)}^{ - 3} }{15 \times {(10)}^{ - 4} \times 2 \times {(10)}^{ - 2} } \\ \\ \sf \hookrightarrow Density = \frac{50 \times {(10)}^{ (- 3 + 4 + 2)} }{30} \\ \\ \sf \hookrightarrow Density = 1.6 \times {(10)}^{3} \: \: kg/ {m}^{3}$

Hence , the density is 1.6 × (10)³ kg/m³

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