Test of Essential Academic Skills (TEAS) ATI Mathematics Practice Test

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How many square inches of wrapping paper are needed to completely wrap a gift box with dimensions 14 inches long, 8 inches high, and 6 inches wide?

  1. 56

  2. 244

  3. 488

  4. 672

The correct answer is: 488

To find the amount of wrapping paper required to completely wrap a gift box, you need to calculate the surface area of the box. The surface area \( S \) of a rectangular prism (or box) can be found using the formula: \[ S = 2lw + 2lh + 2wh \] where \( l \) is the length, \( w \) is the width, and \( h \) is the height of the box. Given the dimensions of the gift box: - Length \( l = 14 \) inches - Width \( w = 6 \) inches - Height \( h = 8 \) inches You can substitute these values into the surface area formula: 1. Calculate \( 2lw \): \[ 2 \times 14 \times 6 = 168 \] 2. Calculate \( 2lh \): \[ 2 \times 14 \times 8 = 224 \] 3. Calculate \( 2wh \): \[ 2 \times 6 \times 8 = 96 \] Now, add all these values together to find the total surface area