Answer:
The lateral height of the square pyramid is 
Step-by-step explanation:
step 1
Find the surface area of the cube
The surface area of the cube is equal to

where
b is the length side of the cube
w have

substitute

step 2
Find the lateral height of the square pyramid
we know that
the surface area of the square pyramid is equal to

where
B is the area of the base
b is the base of the lateral triangle (base of the square)
h is the lateral height of the square pyramid

-----> is the same surface that the cube

substitute the values and solve for h


