SOLUTION: A box with a square base and no lid is to be made from a square piece of metal by cutting squares from the corners and folding up the sides. The cut-off squares are 5 cm on a side.

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Question 73104This question is from textbook Algebra and Trigonometry Structure and Method
: A box with a square base and no lid is to be made from a square piece of metal by cutting squares from the corners and folding up the sides. The cut-off squares are 5 cm on a side. If the volume of the box is 100 cm^3, find the dimensions of the original piece of metal. This question is from textbook Algebra and Trigonometry Structure and Method

Answer by checkley75(3666) About Me  (Show Source):
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THR REMAING BASE IS X^2 & THE HEIGHT IS 5 THEN THE DIMENTIONS OF THE BOX IS 5X^2=100
X^2=100/5
X^2=20
X=4.47 CM FOR THE BASE HEREFORE THE ORIGINAL DIMENTIONS OF THE PIECE OF METAL IS
4.47+2*5=4.47+10=14.47 CM