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.

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.

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ewomazinoade ewomazinoade · Answer 2 · 2022-06-01T15:35:27+02:00

The package has a surface area of 4520cm². The area of the package is less than the area of the wrapping paper. So, Dayson can cover the package with the wrapping paper.

Can the wrapping paper completely wrap the package?

The first step is to determine the surface area of the package.

Total surface area of a cuboid = 2 (lw + wh + lh)

where:

• l = length

• w = width

• h = height

2[(50 x 20) + (50 x 18) + (20 x 18)] = 4520cm²

The second step is to convert 1 square meter to cm

1m² = 100 cm²

100 x 100 = 10,000

To learn how to convert units, please check: https://brainly.com/question/25993533

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