Question

16. The density of a substance is 2.7 g/cm3. What will be the volume of 1350 g of that substance? (solve the numerical stepwise)​

Answer 1

Provided that:

• Density of substance 2.7 g cm³

• Mass of substance = 1350 g

To calculate:

• Volume of substance

Solution:

• Volume of substance = 500 cm³

Using concept:

• Volume formula

Using formula:

• ${\small{\underline{\boxed{\pmb{\sf{V \: = \dfrac{M}{D}}}}}}}$

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

Required solution:

$:\implies \sf V \: = \dfrac{M}{D} \\ \\ :\implies \sf Volume \: = \dfrac{Mass}{Density} \\ \\ :\implies \sf Volume \: = \dfrac{1350}{2.7} \\ \\ :\implies \sf Volume \: = \dfrac{13500}{27} \\ \\ :\implies \sf Volume \: = \cancel{\dfrac{13500}{27}} \: (Cancelling) \\ \\ :\implies \sf Volume \: = 500 \: cm^3 \\ \\ {\pmb{\sf{Henceforth, \: solved!}}}$

Knowledge booster:

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

Answer 2

Answer:

Given:-

• Density=2.7g/cm^3
• Mass=1350g

To find:-

• Volume

Solution:-

We know that

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

$\\ \qquad\quad\sf{:}\twoheadrightarrow Volume=\dfrac{Mass}{Density}$

$\\ \qquad\quad\sf{:}\twoheadrightarrow Volume=\dfrac{1350}{2.7}$

$\\ \qquad\quad\sf{:}\twoheadrightarrow Volume=500cm^3$