What is the lateral area of a regular hexagonal pyramid that has a slant height of 9.8 in. and a base length of 8 in?(1 point)

Responses

235 m2
235 m squared

425 m2
425 m squared

898 m2
898 m squared

363 m2

1 answer

The lateral area of a regular hexagonal pyramid can be calculated using the formula:

Lateral Area = Perimeter of Base * Slant Height / 2

The perimeter of a regular hexagon is found by multiplying the length of one side (8 in) by 6, since a hexagon has 6 equal sides.

Perimeter = 8 in * 6 = 48 in

Lateral Area = 48 in * 9.8 in / 2 = 470.4 in squared

Therefore, the correct answer is not given in the options provided.