homework help: Gina has a sheet of cardbnoard that measures 9ft by 6ft. - Help.com

Gina has a sheet of cardbnoard that measures 9ft by 6ft.

She uses scissors and tape to make the entire sheet of cardboard into a closed box that is a perfect cube.

a. What is the surface area of the box?
b. What is the length of each edge of the box? Explain?

This open post was written 2 years, 11 months ago | V/U/S: 192, 3, 3 | Edit Post | Leave a reply | Report Post


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perfect cube, Surface area, scissors, box, homework (How Tags Affect Reciprocity)

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Marconius offline Verified User (2 years, 11 months) Long Term User Shouts: 3 #
San Francisco, CA, US | 2 years, 11 months ago (2 hours, 44 minutes after post)

1. The area of the sheet of cardboard is 54 square ft. Remember that Area = Length * Width.

2. You can work backwards to find the length of the edges. You already know that the total surface area is 54 ft. The surface area of a perfect cube is defined as: Surface Area = 6 a^2, where ‘a’ is the length of one side of the cube. There are 6 sides to a cube, and each side has an area defined as Length * Width. Since the lengths and widths on a perfect cube are equal, each area is defined as a^2. Therefore:

54 ft. = 6a^2

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Marconius offline Verified User (2 years, 11 months) Long Term User Shouts: 3 #
San Francisco, CA, US | 2 years, 11 months ago (2 hours, 47 minutes after post)

OK…it cut off my post…

54 ft. = 6a^2 Divide both sides by 6
9 ft. = a^2 Take the square root of both sides
3 ft. = a Answer

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uvufoelif offline Unverified User #
An Unknown Location | 6 months, 3 weeks ago (2 years, 4 months after post)

i don’t get how the 6a^2 thing….

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