In the square pyramid below, a = 12 ft and b = 10 ft.
What is the surface area of the square pyramid?
•340 square feet
•420 square feet
•480 square feet
•580 square feet
PLEASES HELP QUICK

The answer is 340ft²

Step-by-step explanation:

From the given diagram

Height a= 12ft

Base b= 10 ft

The square pyramid when unfolded has

1. 4 triangular parts

2. A square part

Hence the surface area of the square pyramid = 4 triangular parts plus square part

We know that the area of a triangle

A=1/2b*h

A= 1/2(10*12)

A= 120/2

A= 60ft²

Area of all 4 triangle = 60*4=

240ft²

Also area of square base

A= b²

A= 10²

A=100ft²

Total surface area = 240+100= 340ft²