Answer :
The lateral area is 117 square centimeters and the surface area is 292.72 square centimeters
How to determine the lateral area?
The given parameters are:
- Base length (b) = 6
- Slant height (l) = 13
The lateral area is calculated using:
Lateral = 0.5 * (Perimeter of base) * Slant height
This gives
Lateral = 0.5 * (3 * 6) * 13
Evaluate
Lateral = 117
Hence, the lateral area is 117 square centimeters
How to determine the surface area?
The surface area is calculated using:
Surface = l²√3
This gives
Surface = 13² * √3
Evaluate
Surface = 292.72
Hence, the surface area is 292.72 square centimeters
Read more about areas at:
https://brainly.com/question/24487155
#SPJ1
Answer:
L = 117 cm2 ; S = 132.6 cm2
Step-by-step explanation:
Substitute the known value of the base edge length s=6 cm into the formula for the perimeter of the regular triangle, P=3s.
P=3(6)=18
Therefore, the perimeter of the regular triangle is 18 cm.
Substitute the known values of the perimeter P=18 cm and the slant height l=13 cm into the formula for the lateral area of a regular pyramid, L=1/2Pl.
L=1/2(18)(13)=117
Therefore, the lateral area of the pyramid is 117 cm2.
The surface area of a regular pyramid with lateral area L and base area B is S=L+B, or S=1/2Pl+B.
The base of the regular triangular pyramid is the equilateral triangle. The area of the triangle with the base b and the height h is B=1/2bh.