SOLUTION: An open box is made from a 30 cm by 58 cm piece of tin by cutting a square from each corner and folding up the edges. The area of the resulting base is 348 cm². What is the length
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Question 990983: An open box is made from a 30 cm by 58 cm piece of tin by cutting a square from each corner and folding up the edges. The area of the resulting base is 348 cm². What is the length of the sides of the squares? Found 2 solutions by josgarithmetic, MathTherapy:Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website! x, the edge length of the square removed at each corner;
The area of the base is ;
Area of the four sides other than the base, ;
The total area is given.
A quadratic equation needing simplification steps and then solve for x.
You can put this solution on YOUR website! An open box is made from a 30 cm by 58 cm piece of tin by cutting a square from each corner and folding up the edges. The area of the resulting base is 348 cm². What is the length of the sides of the squares?
Let one side of one of the square to be cut off, be S
Length of each side of tin needs to be decreased by: 2S cm
We then get: (30 - 2S)(58 - 2S) = 348
Using the quadratic equation formula, or completing the square, S, or length of a side of one of the squares = cm
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