Question

An unopened cereal box contains `15/28` cubic foot of cereal. If the box is full, and the length and height of the box are `5/7` and `1 and (1)/(2)` feet, respectively, what is the width of the box?

A.
`1/2` foot
B.
`1/7` foot
C.
`3/5` foot
D.
`4/7` foot

Answer 1

@dude

Answer 2

The volume of a box is just length \(\times\) width \(\times\) height

They gave you all but 1 value, so you can substitute the missing value into the equation

\(V=l\times w\times h\)
(First convert 1\(\frac{1}{2}\) into an improper fraction first)

\(\dfrac{15}{28}=\dfrac{5}{7}\times \dfrac{3}{2}\times w\)

You can solve from width from here