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The least amount of wrapping paper needed to wrap a cube-shaped gift is 150150 square inches. How long is one side of the gift?

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Q. The least amount of wrapping paper needed to wrap a cube-shaped gift is 150150 square inches. How long is one side of the gift?
  1. Calculate Surface Area: To find the length of one side of the cube, we need to understand that the surface area of a cube is the sum of the areas of all six faces. Since all faces of a cube are squares of equal size, we can divide the total surface area by 66 to find the area of one face.\newlineCalculation: 150150 square inches ÷6=25\div 6 = 25 square inches for one face.
  2. Find Area of One Face: Now that we have the area of one face, we can find the length of one side of the cube by taking the square root of the area of one face, because the area of a square is equal to the side length squared.\newlineCalculation: 25\sqrt{25} square inches = 55 inches.

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