Question

Calculate the mass of a body
in tonnes whose volume 164 m3 and relativedensityis 5:2.
plz say fast.......​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Mass\:of\:body=852800\:kg}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Relative \: density = 5.2 \\ \\ \tt: \implies Volume \: of \: body = 164 \: {m}^{3} \\ \\ \red{\underline \bold{To\:Find:}} \\ \tt: \implies Mass \: of \: body =?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt:\implies Relative \: density = \frac{Density \: of \: body}{Density \: of \: water} \\ \\ \tt:\implies 5.2 = \frac{Density \: of \: body}{1000} \\ \\ \tt:\implies 5.2 \times 1000 = Density \: of \: body \\ \\ \green{\tt:\implies Density \: of \: body = 5200 \: kg /{m}^{3} } \\ \\ \bold{As \: we \:know \: that} \\ \tt: \implies Density = \frac{Mass}{Volume} \\ \\ \tt: \implies 5200 = \frac{Mass}{164} \\ \\ \tt: \implies Mass = 5200 \times 164 \\ \\ \green{\tt: \implies Mass =852800 \: kg}$

Answer 2

GIVEN :–

• Volume of body = 164 m³

• Relative density = 5.2

TO FIND :–

• Mass of body = ?

SOLUTION :–

• We know that –

$\\ \longrightarrow \: { \boxed{ \sf { \bold{Relative \: \: density = \frac{density \: \: of \: \: body}{density \: \: of \: \: water} }}}}$

• So that –

$\\ \implies \: \sf { \bold{5 .2 = \frac{density \: \: of \: \: body}{1000} }}$

$\\ \implies \: \sf { \bold{density \: \: of \: \: body = \: 5 .2 \times 1000}}$

$\\ \implies \: \sf { \bold{density \: \: of \: \: body = \: 5 200}}$

• Now Density –

$\\ \longrightarrow \: { \boxed{ \sf { \bold{density = \frac{mass \: \: of \: \: body}{volume} }}}}$

$\\ \implies \: {{ \sf { \bold{5200 = \frac{mass \: \: of \: \: body}{164} }}}}$

$\\ \implies \: {{ \sf { \bold{ mass \: \: of \: \: body = \: 5200 \times 164 }}}}$

$\\ \implies \: \large{ \boxed{ \sf { \bold{ mass \: \: of \: \: body = \: 852800 }}}}$

• Hence , Mass of body is 852800 kg .