Complete question :
Stephanie has six identical gift boxes to wrap. Each box is a cube that measures 6 inches on each side. She would like to wrap them all using the same gift wrapping paper. The roll of wrapping paper she has is 30 inches wide and 10 feet long.
Answer:
Left over = 2292 in²
Explanation:
Given that :
Gift boxes are identical ;
Each gift box is a cube with side length, s = 6 inches
Area of gift box, Surface area of a cube = 6s²
Area = 6(6²) = 6 * 36 = 216 in²
Area of one gift box = 216 in²
6 gift boxes will be : 216 in² * 6 = 1296 in²
Allowing 2 inches to cover for overlap in each box : 2 inches * 6 = 12 in²
Dimension of wrapping paper = 30 inches by 10 feets
Recall :
1 Feet = 12 inches
Hence ; dimension of wrapping paper becomes :
30 inches by (10*12) inches
30 inches by 120 inches
Area of wrapping paper = 30 * 120 = 3600 in²
Total area of paper - area of gifbox - area of overlap
(3600 - 1296 - 12) in²
= 2292 in²
Leftover = 2292 in²