Multiple choice

If the total surface area of a cube is 150 cm2, what is its lateral surface area?

  1. 150 cm2

  2. 40 cm2

  3. 75 cm2

  4. 100 cm2
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D Correct answer
Explanation

Total surface area of a cube = 6 * s^2 = 150. s^2 = 25, so s = 5. Lateral surface area = 4 * s^2 = 4 * 25 = 100 cm^2.

AI explanation

The total surface area of a cube is given by the formula 6 * a^2, where a is the side length. Setting 6 * a^2 = 150 cm2 yields a side length of a = 5 cm. The lateral surface area of a cube is calculated as 4 * a^2, which equates to 4 * 25 = 100 cm2. The lateral surface area is 100 cm2.

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