A birthday gift is placed inside the box shown below. What is the minimum amount of wrapping paper needed to wrap this gift? ( Hint: Surface Area )

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.

I hope this answer helped you! If you have any questions, feel free to ask away, and I'll get right back to you.

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