Answer:
119.0 cm²
Step-by-step explanation:
What is surface area
It is the area of the outside part of anything. Surface area is also called total surface area.
As we can see from the pyramid, it has a square base. How do I know that it is a square base, is by seeing the dimensions of the base, which are 6.4 cm by 6.4 cm in this pyramid. And we already know from basic Geometry that a square has 4 equal sides. So we call it a square pyramid.
So to find the total surface area of this square pyramid, we need the area of the 4 triangular faces and the area of the square base.
So t.s.a of the pyramid = 4 × Area of each triangular face + Area of the square base.
So, total surface area = Area of square base + Area of the four triangular faces.
total surface area = (length²) + (4 × [tex]\frac{1}{2}[/tex] × base × height)
total surface area = (6.4 × 6.4) + (4 × [tex]\frac{1}{2}[/tex] × 6.4 × 6.1)
total surface area = 40.96 + 78.08
total surface area = 119.04 cm² ≈ 119.0 cm² (to the nearest tenth) (Answer)
