Question

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

Answer 1

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

Answer 2

Answer:

64 unit cubes

Step-by-step explanation:

We are provided with the following

Elena has 80 unit cubes and she have to build the largest cube using the unit cubes she has

Unit cube has dimension of 1 unit each side (Cube has all sides equal)

To make the the largest cube, she needs to calculate the maximum volume which is near to 80 unit cubes

Therefore,

$1^{3} = 1$

$2^{3} = 8$

$3^{3} = 27$

$4^{3} = 64$

$5^{3} = 125$

We have a cube with each side 4 unit whose volume is 64 and a cube with each side 5 unit whose volume is 125

Elena have only 80 unit cubes to build the maximum sized cube

Therefore she will be able to build a cube with each side as 4 unit with volume of 64 unit with 16 spare cubes