Multiple choice

The volume of a cube is 27 cm3. The square of length of the diagonal differs from the side of the cube by

  1. 21 cm

  2. 24 cm

  3. 27 cm

  4. 18 cm

  5. 20 cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume = s^3 = 27, so side s = 3. Diagonal d = s * sqrt(3) = 3 * sqrt(3). Square of diagonal = (3 * sqrt(3))^2 = 9 * 3 = 27. Difference between square of diagonal and side = 27 - 3 = 24.

AI explanation

Using the volume formula for a cube, side^3 equals 27, which means the side is 3 cm. The square of the length of a diagonal of a cube is 3 * (side)^2, so here it equals 3 * 9 = 27 cm^2. The difference between this diagonal squared and the side of the cube is 27 - 3 = 24 cm. The result is 24 cm.

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