[tex]\text{ 1 X 0.2 X 0.5}[/tex]
Explanation
A box is a rectangular prism, the volume for this shape is given by:
[tex]\text{Volume}=\text{ length}\cdot width\cdot heigth[/tex]
so
Step 1
as we need the answer is cubic meters,we need to convert the measures ( given in cm) into meteres, so
the equivalence is
[tex]\begin{gathered} 1\text{ m= 100 }cm \\ \frac{1\text{ m}}{100cm}=1 \end{gathered}[/tex]
to convert each measure, multiply the measure by the fraction,
a)100 cm
[tex]\begin{gathered} 100cm(\frac{1m}{100cm})=1\text{ m} \\ 100cm=\text{ 1m} \end{gathered}[/tex]
b)20 cm
[tex]\begin{gathered} 20cm(\frac{1m}{100cm})=0.2\text{ m} \\ 20cm=\text{ 0.2m} \end{gathered}[/tex]
c) length:0.5 m
as the heigth is given in meters,we don´t need to convert ,
[tex]\text{length}=\text{ 0.5 m}[/tex]
Step 2
now, replace in the formula to find the volume
[tex]\begin{gathered} \text{Volume}=\text{ length}\cdot width\cdot heigth \\ \text{Volume}=1\text{ m}\cdot0.2\text{ m}\cdot0.5\text{ m} \\ \text{Volume}=1\cdot0.2\cdot0.5 \end{gathered}[/tex]
so, the answer is
[tex]\text{ 1 X 0.2 X 0.5}[/tex]
I hope this helps you
