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.
