THIS IS ON E D G E N U I T Y
What is the surface area of the square pyramid below?
(PICTURE HERE)
A) 120 cm2
B) 132 cm2
C) 156 cm2
D) 276 cm2

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.

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80