Cubic inches to cups

5-3/8" x 4" x 2-5/8" container. How many equals cups?

Correct answer:

V =  3.909 caps

Step-by-step explanation:

$$\begin{gathered} a=5{\displaystyle \frac{3}{8}}=5+{\displaystyle \frac{3}{8}}={\displaystyle \frac{5\cdot 8+3}{8}}={\displaystyle \frac{43}{8}}=5.375\text{ inch } \\ b=4\text{ inch } \\ c=2{\displaystyle \frac{5}{8}}=2+{\displaystyle \frac{5}{8}}={\displaystyle \frac{2\cdot 8+5}{8}}={\displaystyle \frac{21}{8}}=2.625\text{ inch } \\ {V}_0=a\cdot b\cdot c=5.375\cdot 4\cdot 2.625={\displaystyle \frac{903}{16}}=56.4375{\text{inch}}^3 \\ V=V_0\mathrm{/}14.438=56.4375\mathrm{/}14.438=3.909\text{ caps} \end{gathered}$$

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