Answer:
The volume of the truck bed is [tex]1\frac{17}{40}\ m^{3}[/tex]
Step-by-step explanation:
we know that
The volume is equal to
[tex]V=LWH[/tex]
substitute the values , but first convert to an improper fractions
[tex]L=1\frac{9}{10}\ m=\frac{10*1+9}{10}=\frac{19}{10}\ m[/tex]
[tex]W=1\frac{1}{2}\ m=\frac{1*2+1}{2}=\frac{3}{2}\ m[/tex]
[tex]H=\frac{1}{2}\ m[/tex]
Find the volume
[tex]V=(\frac{19}{10})(\frac{3}{2})(\frac{1}{2})=\frac{57}{40}\ m^{3}[/tex]
Convert to mixed number
[tex]\frac{57}{40}\ m^{3}=\frac{40}{40}+\frac{17}{40}=1\frac{17}{40}\ m^{3}[/tex]
