The base of a hexagonal prism has an apothem measuring 10 inches and an area of 346 point 4 1 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 hexagonal base, the area is half the perimeter times the apothem: 346.41 = (1/2)(perimeter)(10), so the perimeter is 69.282 inches. The lateral area of a prism is perimeter times height, giving 69.282 × 12 = 831.384 square inches, which rounds to 831 square inches. The correct choice is 831 square inches.

AI-written and checked against the verified answer.