Anonymous
Anonymous asked in Science & MathematicsMathematics · 3 weeks ago

Solid geometry question?

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  • 3 weeks ago

    The cross sectional area of the hexagon is 1500√3 cm^3 / 10cm = 150√3 cm^2

    The formula for the area of a hexagon is (3s^2√3) /2, where s is the length of one side.

    (3s^2√3) /2 = 150√3 cm^2

    (3s^2) /2 = 150 cm^2

    3s^2 = 300 cm^2

    s^2 = 100 cm^2

    s = 10 cm

    So the area of each of the six equal sides is 10 cm x 10 cm = 100 cm^2

    The area of all six sides is 600 cm^2.

    So the total area is 600 cm^2 + 2 (150√3 cm^2) = 1119.61524 cm^2

    So answer d.

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