Buddy the Elf needs to wrap a rectangular present that has a length of 18 inches, a width of 12 inches, and a height of 8 inches. He has a roll of wrapping paper that is 875 square inches. Does he have enough wrapping paper to wrap his present? Explain your answer.
To determine if Buddy has enough wrapping paper to wrap his present, we need to calculate the total surface area of the present.
The surface area of a rectangular prism is given by the formula 2(length*width) + 2(length*height) + 2(width*height).
Plugging in the given dimensions:
2(18*12) + 2(18*8) + 2(12*8)
= 432 + 288 + 192 = 912 square inches.
Since the surface area of the present is 912 square inches, and Buddy has a roll of wrapping paper that is only 875 square inches, he does not have enough wrapping paper to wrap his present.