Question

A right regular hexagonal prism has a height of 5 cm. The area of the base is 93.6 square centimeters and the length of one side of its base is 6 cm. Find the total surface area to the nearest tenth.

Answer 1

Answer:

367.2 cm²

Step-by-step explanation:

First, you need to find the area of the lateral surfaces, since each one is a 5cm by 6cm rectangle, all you need to do is multiply to find the area of one of them, and then multiply by 6 to find the area of all 6 sides.

lateral area = 5cm * 6cm * 6

lateral area = 30cm² * 6

lateral area = 180 cm²

Next, you need to find the total surface area by multiplying the area of the base by two and adding that to the lateral surface area.

SA = 180cm² + 2(93.6cm²)

SA = 180cm² + 187.2cm²

SA = 367.2cm²

The total surface area is 367.2 cm².