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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 wi 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 wi 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 wi she need to cover all the sides?
  1. Calculate Area of One Face: Calculate the area of one face of the cube. Since it's a square, area = side×side\text{side} \times \text{side}.\newlineArea of one face = 2 feet×2 feet=4 square feet2 \, \text{feet} \times 2 \, \text{feet} = 4 \, \text{square feet}.
  2. Find Total Area: A cube has 66 faces, so multiply the area of one face by 66 to get the total area to cover.\newlineTotal area to cover = 44 square feet ×6=24\times 6 = 24 square feet.
  3. Verify Measurements: Check if we've covered all sides and used the correct measurements for the cube's faces.\newlineAll sides are accounted for, and the measurements are correct.

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