The formula of a volume of a rectangular prism:
[tex]V=BH[/tex]
B - area of a base
H - height
The green rectangle is the base.
We have:
[tex]B=3\dfrac{1}{3}=\dfrac{3\cdot3+1}{3}=\dfrac{10}{3}[/tex]
and
[tex]H=1\dfrac{2}{5}=\dfrac{1\cdot5+2}{5}=\dfrac{7}{5}[/tex]
Substitute:
[tex]V=\dfrac{10\!\!\!\!\!\diagup^2}{3}\cdot\dfrac{7}{5\!\!\!\!\diagup_1}=\dfrac{14}{3}=4\dfrac{2}{3}[/tex]
Answer: The volume of the following rectangular prism
is 4 2/3 u³.
