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 are5/7 and 1 1/2 feet, respectively, what is the width of the box?

Answer 1

Volume is height times length times width

V = 15/28 ft^3
h = 11/2 ft
l = 5/7
w = ?

So the unsolved equation is:
V = h × l × w

Separate the w by diving both sides by h and l:

`w = (v)/(hl)`
Then plug in the numbers:

`w = (( (15)/(28)) )/(( (11)/(2) ) * ( (5)/(7)) )`
Which, with the fractions flipped, equals:

`w = ( (15)/(28) ) * ( (2)/(11) ) * ( (7)/(5) ) \\ w = (210)/(1540)`

`w = (3 * 7 * 10)/(10 * 2 * 7 * 11) \\ w = (3)/(2 * 11) \\ w = (3)/(22)`
The width of the box is 3/22 ft