SOLUTION: an artist wants to paint a cube with volume 4096m^3 . each can of paint covers 60m^2. how many cans of paint does the artist need to paint the cube.

Question 631107: an artist wants to paint a cube with volume 4096m^3 . each can of paint covers 60m^2. how many cans of paint does the artist need to paint the cube.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Let x be the length of the side of the cube, in meters.
The volume of the cube (in cubic meters) is .
It so happens that 4096 is a perfect cube.

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The surface area of one face of the cube (in square meters) is

The surface area of all six faces of the cube (in square meters) is

The number of cans of paint needed, if each can will cover 60 square meters is

The artist will have to buy cans of paint.
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