Question

40cm^3 is equal to
a]40(10^-2 m)^2
b]40x10^-6 m^3
c]40x10^-5 m^2
d]4x10^6 m3

Answer 1

$option : (b) \: 40 \times {10}^{ - 6} \: {m}^{3}$

Explanation:

$Given, \: \: 40 \: {cm}^{3} \\ we \: \: know \: \: \boxed{c = {10}^{ - 2} } \\ putting \: \: value \\ 40 \: {cm}^{3} \\ = 40 \times ( \: cm)^{3} \\ \: \: \: \: \: \: = 40 \times ( {10}^{ - 2} \: m)^{3} \\ \: \: \: \: \: \: = 40 \times ( {10}^{ - 2} )^{3} {m}^{3} \\ \: \: \: \: \: = 40 \times {10}^{ - 2 \times 3} {m}^{3} \\ \: = \boxed{40 \times {10}^{ - 6} {m}^{3} }$