Multiple choice

What is the total surface area (in square centimeters) of the cuboid formed when John, Sarah, and Michael joined their Rubik cubes face to face, each having a volume of 1,331 centimeters³?

  1. 121

  2. 968

  3. 1,694

  4. 1,936
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Volume = 1331, so side length = cube root of 1331 = 11 cm. Three cubes joined face to face form a cuboid of dimensions 11 x 11 x 33. Surface area = 2 * (lw + lh + wh) = 2 * (11*11 + 11*33 + 11*33) = 2 * (121 + 363 + 363) = 2 * 847 = 1694.

AI explanation

The side of one Rubik cube is the cube root of 1331, which is 11 centimeters. When three identical cubes are joined face to face in a row, the resulting cuboid has dimensions of 33 centimeters, 11 centimeters, and 11 centimeters. The total surface area of a cuboid is 2 times (length times width plus width times height plus height times length), so we calculate 2 times ((33 times 11) plus (11 times 11) plus (11 times 33)). This equals 2 times (363 plus 121 plus 363), resulting in a total surface area of 1694 square centimeters.

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