The base of a hexagonal prism has an apothem measuring 10 inches and an area of 346.41 square inches. The prism is 12 inches tall.What is the approximate lateral area of the prism? Round to the nearest whole number.

For a regular prism, the lateral area is the base perimeter multiplied by the prism’s height. The base area formula is A = apothem × perimeter ÷ 2, so the perimeter is 2 × 346.41 ÷ 10 = 69.282 inches. Then the lateral area is 69.282 × 12 = 831.384 square inches, which rounds to 831 square inches, choice D.

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