Question

What is the lateral surface area of a right hexagonal prism whose base is a regular hexagon with sides measuring 8 inches long and altitude measuring 6 inches tall?A. 144 in²B. 192 in²C. 384 in²D. 288 in²

Answer 1

Mathematics → Prisms → Surface Area of Prisms

To find the lateral surface area, find the area of one lateral face of the prism and multiply by the number of sides.

Area of one face:

The face is a rectangle if base = 8 inches and height = 6 inches.

The area of a rectangle is the product of its base and height. Then,

`\begin{gathered} A=base*height \\ A=8*6 \\ A=48in^2 \end{gathered}`

Lateral surface area:

Since the prism is a hexagon, it has 6 sides. Then, the lateral surface area (Al) is:

`\begin{gathered} Al=6*48 \\ Al=288in^2 \end{gathered}`

Answer: D. 288 in².