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

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,

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

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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