Answer:
160 square units
Step-by-step explanation:
We need to find the surface area of this figure, which is basically the areas of all the exterior sides.
Looking at the pyramid, we notice that we have 4 congruent triangles and 1 square.
Triangles:
The area of a triangle is denoted as A = (1/2) * b * h, where b is the base and h is the height. Here, the base is 8, so b = 8, and the height is 6, so h = 6. Plug these values in to get the area of one triangle:
A = (1/2) * b * h
A = (1/2) * 8 * 6 = (1/2) * 48 = 24
The area of one triangle is 24 square units, so the area of 4 is 24 * 4 = 96 square units.
Square:
The area of a square is denoted by: A = s * s = s². Here, s = 8, so plug that in:
A = s²
A = 8² = 8 * 8 = 64
The area of the square is 64 square units.
Now add up the areas of the triangles and square:
96 + 64 = 160 square units
The surface area is 160 square units.
