Respuesta :

The volume of a rectangular box can be solved using the formula:

[tex]V=\text{length}\times width\times height[/tex]

In the diagram, the length = 3 1/2 or 3.5 feet, width = 3 1/8 feet, and height = 4/5 foot.

Let's plug in these values to the formula above.

[tex]V=3\frac{1}{2}\times3\frac{1}{8}\times\frac{4}{5}[/tex]

Let's convert first the mixed number to improper fractions.

[tex]V=\frac{7}{2}\times\frac{25}{8}\times\frac{4}{5}[/tex]

We can multiply the fractions directly. Numerator to numerator, denominator to denominator.

[tex]V=\frac{7\times25\times4}{2\times8\times5}=\frac{700}{80}[/tex]

Then, simplify.

[tex]V=\frac{700}{80}=\frac{35}{4}=8\frac{3}{4}[/tex]

Therefore, the volume of the box is 8 3/4 cubic feet. (Fourth Option).

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