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State the given total surface area and the formula for the total surface area of a cube.

Mathematics

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Answer

5 cm\text{5 cm}

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Here's the solution for question 3.

Question 3: Calculate the length of the edge of a closed cube whose total surface area is 150 cm2^2.

  1. State the given total surface area and the formula for the total surface area of a cube.

    The total surface area (TSA) of the cube is 150 cm2150 \text{ cm}^2.
    The formula for the total surface area of a closed cube is TSA=6s2TSA = 6s^2, where ss is the length of the edge.

  2. Substitute the given surface area into the formula and solve for s2s^2.

    150 cm2=6s2150 \text{ cm}^2 = 6s^2

    Divide both sides by 6:

    s2=150 cm26s^2 = \frac{150 \text{ cm}^2}{6} s2=25 cm2s^2 = 25 \text{ cm}^2

  3. Calculate the length of the edge ss by taking the square root.

    s=25 cm2s = \sqrt{25 \text{ cm}^2} s=5 cms = 5 \text{ cm}

    The length of the edge of the cube is 5 cm\text{5 cm}.

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