Question

5 litres of a solution in m3 is:

• A. $5\times {10}^{-4}{m}^3$
• B. $5\times {10}^{-3}{m}^3$
• C. $5\times {10}^{-6}{m}^3$
• D. $5m^3$

Answer 1

The correct option is B $5\times {10}^{-3}{m}^3$

We know that
1 litre = 1000 ${cm}^3$, 1 $m$ = 100 $cm$
$\therefore$ 1 litre = 1000 × (10^-2)³ $m^3$
= 1000 × 10^-6 $m^3$
$\therefore$ 1 litre = 10^-3 $m^3$

$5$ litre $\equiv$ $\frac{5litre\times {10}^{-3}{m}^3}{1litre}$ = $5\times$ ${10}^{-3}{m}^3$