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What is the volume of the box

What is the volume of the box-example-1

1 Answer

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let's firstly convert the mixed fractions to improper fractions and them simply get their product, since the package is just a rectangular prism, its volume will just be width * length * height, and we have all those.


\stackrel{mixed}{8(3)/(4)}\implies \cfrac{8\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{35}{4}} ~\hfill \stackrel{mixed}{2(6)/(7)}\implies \cfrac{2\cdot 7+6}{7}\implies \stackrel{improper}{\cfrac{20}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{35}{4}\cdot \cfrac{20}{7}\cdot 5\implies \boxed{125}

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