Duane's mom bought him a new pair of sneakers for his birthday. She wants to wrap the gift, but is not sure how much wrapping paper to purchase. The shoe box measures 10 inches long, 13 inches wide, and 5 inches tall. The wrapping paper comes in sheets that measure 26 inches by 17 inches. How many sheets of wrapping paper will Duane's mom have to purchase?

Step-by-step explanation:

Given:

Dimension of the shoe box to be wrapped:

Length, l = 10 inches

Width, b = 13 inches

Height, h = 5 inches

Surface area of a rectangular box = 2 (l*b + b*h + l*h)

= 2 (10*13 + 13*5 + 5*10)

= 2 * 245

= 490 in^2

Wrapping sheet:

Dimensions:

Length, ls = 26 inches

Width, bs = 17 inches

Area of wrapping paper = length * width

= 26 * 17

= 442 in^2

Total area of the shoe box = number or wrapping sheets * area

Number of wrapping sheets = 490/442

= 1.109 sheets

Number of wrapping sheets = 1.109 sheets (you can't round down because the sgeet won't be enough, 1.5 sheets would be enough to wrap the box)

Answer: 1.47 sheets

Step-by-step explanation:

Duane's mum purchased a new pair of sneakers for him on his birthday.

Length of shoe box = 10 inches

Width of shoe box = 13 inches

Height of shoe box = 5 inches

Volume of the shoe box = length*width*height

= 10 * 13 * 5

= 650 inches

The wrapping paper measures 26 inches by 27 inches

= 26 * 17

= 442 inches

The sheets of wrapping paper that Duane's mum need to buy will be:

Volume of shoe box divided by measurements for wrapping paper.

= 650 / 442

= 1.47 sheets