Question

Calculate the volume of wood of mass 6000 kg if the density of wood is 0.8 g cm-3.

AND

A piece of wood of mass 150 g has a volume of 200 cm3. Calculate the density of wood in:
(a) C.G.S. unit
(b) S.I. unit

pls answer both the parts

Answer 1

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

$\green{\tt{\therefore{Volume=7500000\:cm^{3}}}}$

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

$\green{\underline \bold{Given :}} \\ \tt: \implies Mass \: of \: wood(m) = 6000 \: kg \\ \\ \tt: \implies Density \: of \: wood (\rho)= 0.8 \: g/ cm^{3} \\ \\ \red{\underline \bold{to \: find :}} \\ \tt: \implies Volume \: of \: wood = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies Density = \frac{Mass}{Volume} \\ \\\tt: \implies 0.0008 = \frac{6000}{Volume} \\ \\ \tt: \implies Volume = \frac{6000}{0.0008} \\ \\ \green{\tt: \implies Volume = 7500000 \: {cm}^{3} }$

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

$\green{\tt{\therefore{Density=0.75\:g/cm^{3}}}}$

$\green{\tt{\therefore{Density=750\:kg/m^{3}}}}$

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

$\green{\underline \bold{Given :}} \\ \tt: \implies Mass \: of \: wood(m) = 150\: g \\ \\ \tt: \implies Volume \: of \: wood(V) = 200\: cm^{3} \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Density\: of \: wood(\rho)=?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies Density = \frac{Mass}{Volume} \\ \\\tt: \implies Density = \frac{150}{200} \\ \\ \green{\tt: \implies Density = 0.75 \: g {/cm}^{3}} \\ \\ \green{\tt: \implies Density = 750 \: kg {/ m}^{3}}$

Answer 2

1st Question

$\bf{ \red{ \underline{ \underline{Answer}}}}$

$\tt{ \pink{Volume = 7500000/ {cm}^{3}}}$

$\large{\sf{\red{\underline{Solution :}}}}$

$\tt{\orange{Density= 0.8\:g/{cm}^{3}}}$

$\tt{\green{Mass=6000\:kg=600000\:g}}$

$\tt{\blue{Density={\large\frac{Mass}{Volume}}}}$

$\tt{\red{\implies 0.8={\large\frac{6000000}{V}}}}$

$\tt{\pink{\implies v=7500000 \: /{cm}{3}}}$

$\tt{\purple{\boxed{\underline{7.5\: /{m}{3}}}}}$

2nd Question

$\bf{ \red{ \underline{ \underline{Answer}}}}$

$\tt{ \pink{C.G.S \: unit density = 0.75 \: g/ {m}^{3}}}$

$\tt{ \pink{S.I\: unit \: density = 750 \: kg/ {cm}^{3} }}$

$\large{\sf{\red{\underline{Solution :}}}}$

a) C.G.S unit (g/cm³)

$\tt{\blue{Density = {\large \frac{150 \: g}{200 {cm}^{3} }}} }$

$\tt{\purple{\boxed{\underline{Density = 0.75 \: g/ {cm}^{3}}}}}$

b) S.I unit (kg/m³)

$\tt{\orange{Mass = 150 \: g = 150 \times {10}^{ - 3} \: kg}}$

$\tt{\green{Volume = 200 \: {cm}^{3} = 200 \times {10}^{ - 6} \: {m}^{2}}}$

$\tt{\pink{Density = \frac{Mass}{Volume} = \frac{150 \times {10}^{ - 3} }{200 \times {10}^{ - 6} }}}$

$\tt{ \purple{\boxed{\underline{Density = 750 \: kg/ {m}^{3} }}}}$