Answer:
[tex]\frac{7}{110}[/tex]
Step-by-step explanation:
The formula for the volume of a rectangular prism is : [tex]length*width*height[/tex]
To work this out you would first need to find the area of one face. In this case lets use the face at the front. To do this you would multiply the length of [tex]\frac{7}{11}[/tex] by the height of [tex]\frac{1}{5}[/tex], this would give you [tex]\frac{7}{55}[/tex]. When multiplying fractions you would just multiply the numerators together and the denominators together, there is no need to find the common denominator.
The next step is to multiply [tex]\frac{7}{55}[/tex] by the total length of [tex]\frac{1}{2}[/tex], this gives you [tex]\frac{7}{110}[/tex].This is because we had previously found the area and by multiplying it by the total length the result is the volume
When multiplying fractions just multiply the numerators and then the denominators.
1) Multiply [tex]\frac{7}{11}[/tex] by [tex]\frac{1}{5}\\[/tex].
[tex]\frac{7}{11}*\frac{1}{5}=\frac{7}{55}[/tex]
2) Multiply [tex]\frac{7}{55}[/tex] by [tex]\frac{1}{2}[/tex]
[tex]\frac{7}{55}*\frac{1}{2}=\frac{7}{110}[/tex]
