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- Roger the MoleLv 73 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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