elena has 80 unit cubes. what is the volume of the largest cube she can build with them?

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mathstudent55 mathstudent55 · Answer 1 · 2018-10-05T05:23:40+02:00

3^3 = 27

4^3 = 64

5^3 = 125

The largest cube has volume 64 cubic units, and the sides are 4 units long.

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ernikhil ernikhil · Answer 2 · 2021-10-23T09:15:28+02:00

The largest cube Elena can build is of side [tex]5\;units[/tex] having a volume of [tex]64\;unit^3[/tex].

The volume of a cube is equals to the length of the side raised to the power of 3. Mathematically, [tex]V=(side)^3[/tex].

According to the question, Elena has 80 unit cubes.

So,

For [tex]side=1\;unit;\;Volume=1\;unit^3[/tex]

For [tex]side=2\;unit;\;Volume=8\;unit^3[/tex]

For [tex]side=3\;unit;\;Volume=27\;unit^3[/tex]

For [tex]side=4\;unit;\;Volume=64\;unit^3[/tex]

For [tex]side=5\;unit;\;Volume=125\;unit^3[/tex]

Hence, the largest cube Elena can build is of side [tex]5\;units[/tex] having a volume of [tex]64\;unit^3[/tex].

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