Answer:
[tex]\displaystyle Vt=\frac{7x}{2}[/tex]
Step-by-step explanation:
There are three different box sizes: The small, the medium, and the large size.
The small box has half the volume of the medium box. If x is the volume of the medium box, then:
The volume of small box = [tex]\frac{x}{2}[/tex]
The large's volume is twice the medium's volume, thus:
The volume of large box=2x
The total volume of the three boxes is:
[tex]\displaystyle Vt=\frac{x}{2}+x+2x[/tex]
Operating:
[tex]\displaystyle Vt=\frac{x+2x+4x}{2}=\frac{7x}{2}[/tex]
The expression for the combined volume of the three boxes is
[tex]\mathbf{\displaystyle Vt=\frac{7x}{2}}[/tex]
