Answer
a) Volume, $FLT: L^{3}$, $MLT: L^{3}$
b) Acceleration, $FLT: LT^{-2}$, $MLT: LT^{-2}$
c) Mass, $FLT: FL^{-1}T^{2}$, $MLT: M$
d) Moment of inertia (area), $FLT: L^{4}$, $MLT: L^{4}$
e) Work, $FLT: FL$, $MLT: ML^{2}T^{-2}$
Work Step by Step
a) $Volume=m^{3}$
$FLT system:L^{3}$
$MLT system:L^{3}$
b)$Acceleration=\frac{m}{s^{2}}$
$FLT system: LT^{-2}$
$MLT system:LT^{-2}$
c)$Mass=Kg=\frac{N}{m/s^{2}}=\frac{Ns^{2}}{m}$
$FLT system: FL^{-1}T^{2}$
$MLT system:M$
d)$Moment$ $of$ $inertia (area)$$=m^{4}$
$FLT system: L^{4}$
$MLT system:L^{4}$
e)$Work=J=Nm=\frac{Kgm^{2}}{s^{2}}$
$FLT system: FL$
$MLT system:ML^{2}T^{-2}$
