A box 2

A box has a length of 4 1/2 inches, a width of 3 2/3 inches and a height of 8 1/4 inches. What is the volume of the box?

Correct answer:

V =  136.125 in³

Step-by-step explanation:

$$\begin{gathered} a=4{\displaystyle \frac{1}{2}}={\displaystyle \frac{4\cdot 2+1}{2}}={\displaystyle \frac{9}{2}}=4.5\text{ in } \\ b=3{\displaystyle \frac{2}{3}}={\displaystyle \frac{3\cdot 3+2}{3}}={\displaystyle \frac{11}{3}}\doteq 3.6667\text{ in } \\ c=8{\displaystyle \frac{1}{4}}={\displaystyle \frac{8\cdot 4+1}{4}}={\displaystyle \frac{33}{4}}=8.25\text{ in } \\ V=a\cdot b\cdot c=4.5\cdot 3.6667\cdot 8.25={\displaystyle \frac{1089}{8}}={\displaystyle \frac{1089}{8}}{\text{in}}^3=136.125{\text{in}}^3 \end{gathered}$$

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