Question

One brand of cookies is sold in three different box sizes: The small box had half the volume of the medium box. The large has twice the volume of the medium box . The volume of the medium box is x. If someone bus ones of each size which expression shows the combined volume of three boxes ?

Answer 1

`\displaystyle Vt=(7x)/(2)`

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 =
`(x)/(2)`

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:

`\displaystyle Vt=(x)/(2)+x+2x`

Operating:

`\displaystyle Vt=(x+2x+4x)/(2)=(7x)/(2)`

The expression for the combined volume of the three boxes is

`\mathbf{\displaystyle Vt=(7x)/(2)}`