Multiple choice

If the surface area of a cube is 150 sq cm, what would be the length of the solid diagonal of the cube?

  1. 2√3

  2. 5√2

  3. √5

  4. 5√3
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D Correct answer
Explanation

Surface area of cube = 6 * s^2 = 150. s^2 = 25, s = 5. Solid diagonal = s * sqrt(3) = 5 * sqrt(3).

AI explanation

The surface area of a cube is calculated using the formula 6 multiplied by the square of the side length. Setting this equal to 150 gives a side length squared of 25, meaning the side length is 5 centimeters. The formula for the solid diagonal of a cube is the side length multiplied by the square root of 3, so the diagonal is 5 multiplied by the square root of 3.

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