SOLUTION: A cube has a volume of 64. Find the length of its diagonal

Algebra ->  Volume -> SOLUTION: A cube has a volume of 64. Find the length of its diagonal      Log On


   

Question 194846: A cube has a volume of 64. Find the length of its diagonal
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
A cube has a volume of 64. Find the length of its diagonal
.
Let x = length of one side of cube
then
x^3 = 64
x = 4
.
If we let d = diagonal
The diagonal then is
%282sqrt%282%29%29%5E2+%2B+2%5E2+=+d%5E2
8+%2B+4+=+d%5E2
12+=+d%5E2
sqrt%2812%29+=+d
2sqrt%283%29+=+d