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.

Question

Boston

Mathematics

13 September, 16:56

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.

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Answers (1)

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Esmeralda Harrell · 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.