Question

What is the volume of a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches ?

Answer 1

Answer:

The volume of a box is:

V = 560 cubic inches or  $20\frac{20}{27}$  cubic inches.

Step-by-step explanation:

Given

The width of a box = w = 2 2/3 inches

i.e. $\:w=2\frac{2}{3}=\frac{8}{3}$

The length of a box = l = 3 1/3 inches

i.e. $l=\:3\frac{1}{3}=\frac{10}{3}$

The height of a box = h = 2 1/3 inches

i.e. $\:h=2\frac{1}{3}=\frac{7}{3}$

Using the formula to determine the volume of a box

$V=w\times l\times h$

substitute  $\:w=2\frac{2}{3}=\frac{8}{3}$,   $l=\:3\frac{1}{3}=\frac{10}{3}$  and  $\:h=2\frac{1}{3}=\frac{7}{3}$,  

$V=\frac{8}{3}\times \frac{10}{3}\times \frac{7}{3}$

Apply the fraction rule:  $\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

   $=\frac{8\times \:10\times \:7}{3\times \:3\times \:3}$

   $=\frac{560}{27}$   or   $20\frac{20}{27}$  cubic inches

Therefore, the volume of a box is:

V = 560 cubic inches or  $20\frac{20}{27}$  cubic inches.