Question

Express 5.5kg m-3 into g cm -3

Answer 1

Given to convert 5.5 kgm^-3 to gcm^-3

$\mathfrak {\underline { \underline{Explanation:- }}}$

As we know that,

1kg = 1000 grams.

1 m = 100 cm

By using these relations we can solve .

$\implies \sf{(5.5 \times 1000g)(10 {}^{ 2}cm) {}^{ - 3} }$

$\implies \sf{( \dfrac{55}{10} \times 1000g)(10 {}^{ 2}cm) {}^{ - 3} }$

$\implies \sf{( {55} \times {100} \times g)(10 {}^{ 2}cm) {}^{ - 3} }$

$\implies \sf{( {5500} \times g)(10 {}^{ - 6})cm {}^{ - 3} }$

$\implies \sf{( {5500} )(10 {}^{ - 6})gcm {}^{ - 3} }$

$\implies \sf{( {55 \times 10 {}^{2} } )(10 {}^{ - 6})gcm {}^{ - 3} }$

$\implies \sf{( {55 \times 10 {}^{2 - 6} } )gcm {}^{ - 3} }$

$\implies \sf{( {55 \times 10 {}^{ - 4} } )gcm {}^{ - 3} }$

$\implies \sf{ \dfrac{55}{10 {}^{4} } gcm {}^{ - 3} }$

$\implies \sf{ \dfrac{55}{10000 } gcm {}^{ - 3} }$

$\implies \sf{ \red{ 0.0055 \: gcm {}^{ - 3} }}$

So,

${ \boxed{ \underline{ \mathfrak \red{5.5 \: kgm {}^{ - 3} =0.0055 \: gcm {}^{ - 3} }}}}$

Answer 2

Answer:

5.5kgm^-3 = 0.0055gcm^-3