Question

What is the surface area of this square pyramid?

Answer 1

Answer:

33 ft²

Step-by-step explanation:

The formula for the surface area of a square pyramid is:

SA = b² + 2bs

Where b is the measure of the base and s is the slant height

Let's substitute into this equation:

SA = b² + 2bs

SA = 3² + 2(3)(4)

Solve:

SA = 3² + 2(3)(4)

Square 3:

SA = 3² + 2(3)(4)

SA = 9 + 2(3)(4)

Multiply:

SA = 9 + 2(3)(4)

SA = 9 + (6)(4)

SA = 9 + 24

Add:

SA = 9 + 24

SA = 33

Therefore, the surface area is 33 square feet.