Find Volume and Weight

Question

What is the Volume and Weight of water in a tank of size $2.0 \hspace{0.1cm} m$ length, $2.0 \hspace{0.1cm}m$ width, and $1.0 \hspace{0.1cm} m$ height ?

Answer 1

Volume of  tank = $ 2 \times 2 \times 1 \hspace{0.1cm}m^3$

$\qquad \qquad = 4 \hspace{0.1cm}m^3$

Now, we know that, $Density(D) = \dfrac{Mass(M)}{Volume(V)}$

∴ Density of water = $997 \hspace{0.1cm}kg/m^3$

& $Volume = 4 \hspace{0.1cm}m^3$

$∴ \text{M = D}\times V$

$\qquad = 997 \times 4 \hspace{0.1cm}kg$

$\qquad = 3988 \hspace{0.1cm}kg$

$\color{Green}{\text{∴ Volume of water in the tank will be }}$= $4 \hspace{0.1cm} m^3 = 4 \times 1000 \hspace{0.1cm}L = \color{Orange}{4000 \hspace{0.1cm}L}$ $\left[ ∵ 1 \hspace{0.1cm} m^3 = 1000 \hspace{0.1cm}L \right]$

$\color{Maroon}{\text{Weight of water in the tank will be}}$ = $\color{blue}{3988 \hspace{0.1cm} kg}$