Question

Dayson is covering a package in the shape of a rectangular prism with wrapping paper. The package is 50 centimeters by 20 centimeters by 18 centimeters. He has 1 square meter of wrapping paper. Can he completely cover the package with wrapping paper? Use the drop-down menus to explain and show your answer. Dayson has 1 m2 of wrapping paper, which is cm2. The package has a surface area of cm2. The area of the package is the area of the wrapping paper. So, Dayson cover the package with the wrapping paper.

Answer 1

Dayson has 1 m2 of wrapping paper, which is 10000 cm2:
 1 m = 100 cm
 1 m^2 = (100 cm)^2 
 1 m^2 = 10000 cm^2
 The package has a surface area of cm2:
 A = 2*(50*20) + 2*(50*18) + 2*(18*20)
 A =  4520 cm^2
 The area of the package is less than the area of the wrapping paper (4520 cm^2 < 10000 cm^2). So, Dayson cover the package with the wrapping paper.