SOLUTION: The volume of a rectangular tank is 14 ft less than twice the volume of a cube. The length of the tank is 1 foot more than the length of an edge
of the cube, its width is 1 foot
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Question 1186811: The volume of a rectangular tank is 14 ft less than twice the volume of a cube. The length of the tank is 1 foot more than the length of an edge
of the cube, its width is 1 foot less than the length of an edge of the
cube, and its height is 2 feet greater than the length of an edge of the
cube. What are the dimensions of the cube and of the tank?
Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!
c, the edge length of the cube
Rectangular Tank Length, c+1
Tank width, c-1
Tank height, c+2
Cube's volume, c^3
Volume of tank is 14 CUBIC ft. less than twice that of the cube.
Simplify and solve this for c, first.
--
-
Basic multiplication facts may be enough to find c.
If c is 3, then
-----------same as the right-hand side of the simplified equation.
c, edge length of the cube is 3.
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