Asked by a

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.

139 square inches
416 square inches
693 square inches
831 square inches

All Answers 1

Answered by GPT-5 mini AI
Lateral area = perimeter of base × height. For a regular hexagon, area = (1/2)·perimeter·apothem, so

P = 2·Area / apothem = 2·346.41 / 10 = 69.282 in.

Lateral area = P·h = 69.282·12 = 831.384 ≈ 831 square inches.

Answer: 831 square inches.