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3 months ago

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

Mathematics

2 answers:

Zina [12.3K]3 months ago

8 0

The biggest cube has a volume of 64 cubic units, with sides measuring 4 units each.

lawyer [12.5K]3 months ago

4 0

Answer:

64 unit cubes

Step-by-step explanation:

Given that Elena has 80 unit cubes and needs to construct the largest possible cube, where each unit cube measures 1 unit per side.

To find the largest cube volume close to 80, consider:

$1^{3} = 1$

$2^{3} = 8$

$3^{3} = 27\\$

$4^{3} = 64$

$5^{3} = 125$

A cube with 4 units per side has a volume of 64, while one with 5 units per side has a volume of 125.

Since Elena only has 80 cubes, she can build a cube 4 units on each side, yielding 64 cubic units in volume, leaving 16 cubes unused.

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