D. 363 m2
The lateral area of a regular hexagonal pyramid can be found using the formula:
Lateral Area = 3/2 * base perimeter * slant height
Given that the base length is 8 in, the base perimeter of a regular hexagon is 6 times the base length, so the base perimeter is 6 * 8 = 48 in.
Plugging in the values:
Lateral Area = 3/2 * 48 * 9.8
Lateral Area = 3/2 * 48 * 9.8
Lateral Area = 3/2 * 470.4
Lateral Area ≈ 705.6
Therefore, the lateral area of the regular hexagonal pyramid is 705.6 sq in, which is equivalent to 363 m2.
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)
A. 425 m2
B. 898 m2
C. 235 m2
D. 363 m2
1 answer