Answer:
- Surface are = 340 cm²;
- Volume = 363.33 cm³.
------------------------------
Full surface area is the sum of areas of 4 triangles and the square base:
- S = 4*1/2*10*12 + 10²
- S = 240 + 100
- S = 340 cm²
Find the height h of the pyramid, using slant height and the side of the base and Pythagorean:
- h² = 12² - (10/2)²
- h² = 144 - 25
- h² = 119
- h = √119 ≈ 10.9 cm
Find the volume:
- V = 1/3*a²h
- V = 1/3*10²*10.9
- V = 363.33 cm³