178.--THE CARDBOARD BOX.

The areas of the top and side multiplied together and divided by the

area of the end give the square of the length. Similarly, the product of

top and end divided by side gives the square of the breadth; and the

product of side and end divided by the top gives the square of the

depth. But we only need one of these operations. Let us take the first.

Thus, 120 × 96 divided by 80 equals 144, the square of 12. Therefore the

length is 12 inches, from which we can, of course, at once get the

breadth and depth--10 in. and 8 in. respectively.

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