SOLUTION: a rectangular box has a surface area of 960 squared centimetres. it has a square end. each side length is a whole number of centimetres. find two different sets of dimensions that

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Question 980168: a rectangular box has a surface area of 960 squared centimetres. it has a square end. each side length is a whole number of centimetres. find two different sets of dimensions that satisfy these conditions
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, the length of the square side for the cross section;
y, the length of the box at right angle to the square cross section;

The six sides form area terms to be summed:
x%5E2%2Bx%5E2%2Bxy%2Bxy%2Bxy%2Bxy=960
2x%5E2%2B4xy=960
x%5E2%2B2xy=480
2xy=480-x%5E2
y=%28480-x%5E2%29%2F%282x%29
highlight_green%28y=240%2Fx-x%2F2%29------use any whole number even factors of 240 and find corresponding values for y.