Answer
The verified dimensions are the following:
a) Acceleration, $FLTsystem: LT^{-2}$, $MLTsystem: LT^{-2}$
b) Stress, $FLTsystem: FL^{-2}$, $MLTsystem: ML^{-1}T^{-2}$
c) Moment of a force, $FLTsystem: FL$, $MLTsystem: ML^{2}T^{-2}$
d) Volume, $FLTsystem: L^{3}$, $MLTsystem: L^{3}$
e) Work, $FLTsystem: FL$, $MLTsystem: ML^{2}T^{-2}$
Work Step by Step
Using the International System of Units:
a)$Acceleration=a=\frac{m}{s^{2}}$
$FLTsystem: LT^{-2}$
$MLTsystem: LT^{-2}$
b)$Stress=\frac{N}{m^{2}}=\frac{Kg}{ms^{2}}$
$FLTsystem: FL^{-2}$
$MLTsystem: ML^{-1}T^{-2}$
c)$Moment$ $of$ $a$ $force=Nm=\frac{Kgm^{2}}{s^{2}}$
$FLTsystem: FL$
$MLTsystem: ML^{2}T^{-2}$
d)$Volume=m^{3}$
$FLTsystem: L^{3}$
$MLTsystem: L^{3}$
e)$Work=J=Nm=\frac{Kgm^{2}}{s^{2}}$
$FLTsystem: FL$
$MLTsystem: ML^{2}T^{-2}$