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
235 m2235 m squared
363 m2363 m squared
425 m2425 m squared
898 m2
The lateral area of a regular hexagonal pyramid can be calculated using the formula:
Lateral area = (Perimeter of base × slant height) / 2
In this case, the perimeter of the base of a regular hexagon can be calculated by multiplying the base length by 6 (since it has 6 sides).
Perimeter of base = 8 in x 6
Perimeter of base = 48 in
Now plug this into the formula:
Lateral area = (48 in x 9.8 in) / 2
Lateral area = (470.4 in^2) / 2
Lateral area = 235.2 in^2
Therefore, the lateral area of the regular hexagonal pyramid is 235.2 in^2. The closest response is:
235 m2