5. 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 898 m2 898 m squared 425 m2 425 m squared 363 m2 363 m squared 235 m2
To calculate the lateral area of a regular hexagonal pyramid, we use the formula:
Lateral Area = 1/2 * Perimeter of Base * Slant Height
First, let's calculate the perimeter of the base of the regular hexagon. Since each side of the regular hexagon is the same length, we can calculate the perimeter by multiplying the number of sides (6) by the length of each side (8 in):
Perimeter of Base = 6 * 8 in = 48 in
Now, we can calculate the lateral area using the given slant height of 9.8 in:
Lateral Area = 1/2 * 48 in * 9.8 in
Lateral Area = 24 in * 9.8 in
Lateral Area = 235.2 in squared
Therefore, the lateral area of the regular hexagonal pyramid is 235.2 square inches.
The correct answer is 235 m2.