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:
[tex]w = \frac{v}{hl} [/tex]
Then plug in the numbers:
[tex]w = \frac{( \frac{15}{28}) }{( \frac{11}{2} ) \times ( \frac{5}{7}) } [/tex]
Which, with the fractions flipped, equals:
[tex]w = ( \frac{15}{28} ) \times ( \frac{2}{11} ) \times ( \frac{7}{5} ) \\ w = \frac{210}{1540}[/tex]
[tex]w = \frac{3 \times 7 \times 10}{10 \times 2 \times 7 \times 11} \\ w = \frac{3}{2 \times 11} \\ w = \frac{3}{22} [/tex]
The width of the box is 3/22 ft
