Answer:
C) 156 cm²
Step-by-step explanation:
The surface area of a figure is the sum of the areas of all the external sides of the object.
Here, we have a square pyramid, so the external sides are 4 congruent triangles and 1 square base. Let's calculate the areas separately.
4 Congruent Triangles:
The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height.
The base here is 6 cm and the height is 10, so plug these in:
A = (1/2) * b * h
A = (1/2) * 6 * 10 = 30
Since there are 4 triangles, multiply 30 by 4: 30 * 4 = 120
1 Square:
The area of a square is denoted by: A = s², where s is the side length.
The side length here is 6, so plug this in:
A = s²
A = 6² = 36
Now add these together:
120 + 36 = 156 cm squared
The answer is thus C.
