Answer:
a) Surface area = 616 cm²
b) Volume = V = 1083 cm³
Explanation:
Surface area and volume of a regular triangular pyramid that has a base edge of 16 cm and a slant height of 15 cm
a) Formula for surface area = Base area × 1/2(perimeter × slant height)
Base area = Base edge²
=( 16 cm)² = 256 cm²
Perimeter = Base edge × 3
= 16 cm × 3 = 48 cm
Hence:
Surface Area = 256 cm² + 1/2(48 × 15)
= 256 cm² + 360 cm²
= 616 cm²
b) Volume = 1/3 × Base area × Height
1082.758616785cm³
Approximately = 1083 cm³