mon placed twenty-four 16.9 oz water bottles on a table to be wrapped together in plastic. The bottles are arranged to measure 4.5 inches in width, 6.75 inches in length, and 1 foot in height. How much plastic wrap is needed to enclose all of the bottles? Write your answer in decimal form. (Hint: the answer should be in inches) (1 point) Surface Area = square inches

1 answer

To calculate the surface area of the plastic wrap needed to enclose all the bottles, we need to find the surface area of each bottle first.

The surface area of a rectangular prism can be calculated using the formula: 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.

For each bottle:
Length (l) = 6.75 inches
Width (w) = 4.5 inches
Height (h) = 12 inches

Surface Area = 2(6.75 * 4.5) + 2(6.75 * 12) + 2(4.5 * 12)
Surface Area = 60.75 + 162 + 108
Surface Area = 330.75 square inches

Now, we need to find the total surface area of all 24 bottles:
Total Surface Area = 24 * 330.75
Total Surface Area = 7,938 square inches

Therefore, 7,938 square inches of plastic wrap is needed to enclose all the bottles.