The total surface area of the box would be the minimum amount of wrapping paper to wrap the gift.
The box is a cuboid, as it has 6 faces, 12 edges and a different height, breadth and length.
The total surface area of a cuboid is obtained by the formula 2(lb + lh + bh) where l stands for the length of the cuboid, b stands for it's breadth (also known as width), and h stands for it's height.
Total surface area = 2(lb + lh +bh)
= 2 (10*14 + 14*7 + 10*7)
= 2 (140 + 98 + 70)
= 2 x 308
= 616 square centimeters
Thus, the minimum amount of wrapping paper needed is 616 square centimeters.
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