Multiple choice

Choose the correct answers from the alternatives given. Find the total surface area of a cube whose volume is equal to the volume of a rectangle solid of sides $11 m, 22 m$ and $44$ m.

  1. $3296\ m^2$
  2. $2374\ m^2$
  3. $2904\ m^2$
  4. $3126\ m^2$
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C Correct answer
Explanation

Volume of rectangle = 11 * 22 * 44 = 10648. Volume of cube = s^3 = 10648, so s = 22. Total surface area of cube = 6 * s^2 = 6 * 22^2 = 6 * 484 = 2904.

AI explanation

Calculate the rectangular solid's volume as 11 times 22 times 44, which equals 10648 cubic meters. Since the cube's volume is the side cubed, the side of the cube is the cube root of 10648, which is 22 meters. Apply the total surface area formula for a cube, 6 times side squared, to compute 6 times 22 squared, yielding 2904 square meters.

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