Multiple choice

A thin rod of length 24 feet is cut into rods of equal size and joined so as to form a skeleton cube. What is the area of one of the faces of the largest cube thus constructed?

  1. 25 square feet

  2. 24 square feet

  3. 9 square feet

  4. 4 square feet
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D Correct answer
Explanation

A cube has 12 edges. If the total length of the rod is 24 feet, each edge of the cube is 24/12 = 2 feet. The area of one face of a cube with side length s is s^2. Thus, 2^2 = 4 square feet.

AI explanation

A cube has 12 edges of equal length, so the 24 feet rod is cut into 12 pieces each measuring 2 feet. The area of one face is calculated using the area of a square formula, side multiplied by side. This gives an area of 2 multiplied by 2, which equals 4 square feet.

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