Question

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

Answer 1

The approximate lateral area of the prism is determined as 831 square inches.

What is lateral area of the hexagonal prism?

The lateral area of the hexagonal prism is calculated as follows;

LA = PH

where;

• P is perimeter of the prism
• H is height

A = ¹/₂Pa

where;

• a is apothem = 10 inches
• A is base area = 346.41 in²

346.41 = ¹/₂(10)P

346.41 = 5P

P = 346.41/5

P = 69.282 inches

LA = PH

LA = 69.282 x 12

LA = 831.38 in²

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