Question

A rectangular bed of a truck is 1 9/10 meters long,1 1/2 meters wide, and 1/2 meter tall. What is the volume of the truck bed?

Answer 1

Answer:

The volume of the truck bed is $1\frac{17}{40}\ m^{3}$

Step-by-step explanation:

we know that

The volume is equal to

$V=LWH$

substitute the values , but first convert to an improper fractions

$L=1\frac{9}{10}\ m=\frac{10*1+9}{10}=\frac{19}{10}\ m$

$W=1\frac{1}{2}\ m=\frac{1*2+1}{2}=\frac{3}{2}\ m$

$H=\frac{1}{2}\ m$

Find the volume

$V=(\frac{19}{10})(\frac{3}{2})(\frac{1}{2})=\frac{57}{40}\ m^{3}$

Convert to mixed number

$\frac{57}{40}\ m^{3}=\frac{40}{40}+\frac{17}{40}=1\frac{17}{40}\ m^{3}$