Question

Volume of metal cube is 150 cm3 If the density of the metal cube is 4.5 gm/cm3. find the mass of metal cube in SI unit.​

Answer 1

Given :-

☄ Volume of the metal cube, V = 150cm³

☄ Density of the metal cube, p = 4.5 gm/cm³

To find :-

the mass of the metal cube

Solution :-

as we know,

density is equal to mass of a unit volume .i.e.,

${ \bf { \gray {Density = \dfrac{mass}{volume}}}}$

According to Question,

• density = 4.5gm/cm³
• Volume = 150cm³
• mass = ?

${\sf {\leadsto 4.5gm/ {cm}^{3} = \dfrac{mass}{150 {cm}^{3}} }} \\ \\ {\sf {\leadsto 4.5gm/ {cm}^{3} \times 150 {cm}^{3} = mass }} \\ \\ {\sf {\leadsto mass = 4.5gm \times 150}} \\ \\ {\sf {\leadsto mass = 675gm} }$

Si unit of mass is kg so,

${\sf {\leadsto mass = 675 \times \dfrac{1}{1000}kg = 0.675kg}}$

thus, the mass of the solid cube is 0.675kg.

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