SOLUTION: A box with open top is formed from a square sheet of metal by cutting 30cm squares from the corner and folding up to the sides. The box is to have a volume of {{{120 cm^3}}}. A.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A box with open top is formed from a square sheet of metal by cutting 30cm squares from the corner and folding up to the sides. The box is to have a volume of {{{120 cm^3}}}. A.      Log On


   

Question 820815: A box with open top is formed from a square sheet of metal by cutting 30cm squares from the corner and folding up to the sides. The box is to have a volume of 120+cm%5E3.
A.Find the dimension of the sheet of metal
B.Find the dimensions of the box
An illustration would be helpful thanks
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
v = 120 cu.cm
v = Lwh
h = 30 cm
30Lw = 120
Lw = 120/30
Lw = 4 sq.cm
L = w = 2 cm
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square sheet size:
side = 30*2 + 2
62 cm x 62 cm
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dimension of box:
L: 2 cm
w: 2 cm
h = 30 cm
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the box is shaped tall and thin like a modern flower vase
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