3. A gift box measures 14 in. by 12 in . by 6 in . How much wrapping paper is needed to exactly cover the box?

To find out how much wrapping paper is needed to exactly cover the gift box, we need to calculate the surface area of the box. The surface area of a rectangular box is given by the formula: \[ \text{Surface Area} = 2lw + 2lh + 2wh \] where: - \( l \) is the length of the box, - \( w \) is the width of the box, - \( h \) is the height of the box. Given that the gift box measures 14 in. by 12 in. by 6 in., we can substitute these values into the formula to find the surface area. Let's calculate the surface area of the gift box. Calculate the value by following steps: - step0: Calculate: \(2\times 14\times 12+2\times 14\times 6+2\times 12\times 6\) - step1: Multiply the terms: \(336+2\times 14\times 6+2\times 12\times 6\) - step2: Multiply the terms: \(336+168+2\times 12\times 6\) - step3: Multiply the terms: \(336+168+144\) - step4: Add the numbers: \(648\) The surface area of the gift box is 648 square inches. Therefore, 648 square inches of wrapping paper is needed to exactly cover the gift box.