Question

Volume of a metal cube is 150cm If the density
of the metal cube is 4.5 gm find the mass of metal cube in si unit​

Answer 1

$\;\;\underline{\textbf{\textsf{ Given:-}}}$

•Volume = 150 cm³

•Density = 4.5 gm/cm³

$\;\;\underline{\textbf{\textsf{ To Find :-}}}$

•Mass of Metal Cube, m

⠀$\;\;\underline{\textbf{\textsf{ Solution :-}}}$

⠀

$\underline{\:\textsf{As we know that :-}}$

$:\implies\sf Density=\dfrac{Mass}{Volume}$

$\\\\\\\longrightarrow \sf 4.5\:gm\:cm^{-3}=\dfrac{Mass}{150\:cm^3}\\\\\\\longrightarrow \sf 4.5\:gm\:cm^{-3} \times 150\:cm^3 = Mass\\\\\\\longrightarrow \sf 45\:gm \times 15 = Mass\\\\\\\longrightarrow \sf 15 \times 3 \:gm \times 15 = Mass\\\\\\\longrightarrow \sf 225 \times 3 \:gm = Mass\\\\\\\longrightarrow \sf Mass = 675 \:gm\\\\\\\longrightarrow \sf Mass = 675 \times \dfrac{1}{1000} \:Kg\\\\\\\longrightarrow \underline{\boxed{\sf Mass = 0.675 \:Kg}}$

⠀

⠀$\;\;\underline{\textbf{\textsf{ Hence -}}}$

$\underline{\textsf{Mass of the solid cube is \textbf{0.675 Kg}}}.$

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Answer 2

the mass of metal cube in si unit 0.675

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