Answer:
207 m².
Step-by-step explanation:
To find the surface area of the model, the area of the square base as well as the triangular sides will need to be found.
To find the area of the base, we can simply use the formula: A = s².
If s = 9, then:
A = 9²
A = 81. This is the area of the base.
To find the area of a triangular side, use the formula: A = 1/2(bh). b = 9, and h = 7.
Plugging these in get:
A = 1/2(7 · 9)
A = 1/2(63)
A = 31.5.
Since there are 4 sides to the base, this means that there are 4 triangular sides. Multiply the area of one triangle by 4, resulting in:
31.5 ×4 = 126.
Add up the area of the base and lateral parts of the pyramid, which equals:
81 + 126 = 207 m².
