Question

16. Volume of a metal cube is 200 cm3. If the density
of metal cube is 7.5 gcm-3, find the mass of metal
cube in kilogram.
[1.5 kg]​

Answer 1

Proper question:

⋆ Volume of a metal cube is 200 cm³. If the density of metal cube is 7.5 g/cm³, find the mass of metal cube in kilograms.

Provided that:

• Volume of metal cube = 200 cm³

• Density of metal cube = 7.5 g/cm³

To determine:

• Mass of the metal cube

Solution:

• Mass of the metal cube = 1.5 kg

Using concepts:

• Formula to convert g into kg.
• Formula to find mass.

Using formulas:

• 1 gram into kilograms:

• ${\small{\underline{\boxed{\pmb{\sf{1 \: g \: = \dfrac{1}{1000} \: kg}}}}}}$

• Mass is given by

• ${\small{\underline{\boxed{\pmb{\sf{M \: = DV}}}}}}$

Where, M denotes mass, V denotes volume and D denotes the density.

Required solution:

~ Firstly let us find out the mass in grams by using suitable formula further will convert it into kilograms.

${\sf{:\implies M \: = DV}}$

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

${\sf{:\implies Mass \: = 7.5 \cdot 200}}$

${\sf{:\implies Mass \: = 1500 \: g}}$

• Henceforth, solved!

~ Now let us find out the mass in kilograms by using suitable formula!

$:\implies \sf 1 \: g \: = \dfrac{1}{1000} \: kg \\ \\ :\implies \sf 1500 \: g \: = \dfrac{1500}{1000} \: kg \\ \\ :\implies \sf 1500 \: g \: = \dfrac{15}{10} \: kg \\ \\ :\implies \sf 1500 \: g \: = 1.5 \: kg \\ \\ {\pmb{\sf{Henceforth, \: solved!}}}$

Know more:

$\begin{gathered}\boxed{\begin{array}{c}\\ {\pmb{\sf{Some \: formulas!}}} \\ \\ \sf \star \: Density \: = \dfrac{Mass}{Volume} \\ \\ \sf \star \: Volume \: = \dfrac{Mass}{Density} \\ \\ \sf \star \: Density \times Volume = Mass \end{array}}\end{gathered}$

Answer 2

Answer:

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