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Mr. Franz built a wooden cube. Mrs. Franz is going to cover the cube with carpet. The faces on the cube are 2 feet by 2 feet. How much carpet will she need to cover all the sides?

Mr. Franz built a wooden cube. Mrs. Franz is going to cover the cube with carpet. The faces on the cube are 22 feet by 22 feet. How much carpet will she need to cover all the sides?

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Full solution

Q. Mr. Franz built a wooden cube. Mrs. Franz is going to cover the cube with carpet. The faces on the cube are 22 feet by 22 feet. How much carpet will she need to cover all the sides?
  1. Calculate Area of One Face: Calculate the area of one face of the cube.\newlineArea of one face = side length ×\times side length = 22 feet ×\times 22 feet = 44 square feet.
  2. Find Total Area: Since a cube has 66 faces, multiply the area of one face by 66 to get the total area to cover.\newlineTotal area to cover = 6×46 \times 4 square feet = 2424 square feet.
  3. Total Carpet Needed: Mrs. Franz will need 2424 square feet of carpet to cover the cube.

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