SOLUTION: a cube has the same volume as a right, rectangular prism whose dimensions are 6 units by 12 units by 24 units. What is the surface area of the cube?
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Question 257146: a cube has the same volume as a right, rectangular prism whose dimensions are 6 units by 12 units by 24 units. What is the surface area of the cube? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! a cube has the same volume as a right, rectangular prism whose dimensions are 6 units by 12 units by 24 units.
What is the surface area of the cube?
:
Find the volume of the right, rectangular prism:
6 * 12 * 24 = 1728
:
Find the length of the side of a cube with a vol of 1728 cu/units
s = cube root of 1728 ()
s = 12 units
:
Surface area of cube = 6(s^2)
S.A. = 6*12^2
S.A. = 6*144
S.A. = 864 sq/units