Answer:
The answer to your question is 420 ft²
Explanation:
Data
side = 6 ft
distance from the center to the vertex = 5 ft
height = 10 ft
Process
1.- Calculate the apothem
c² = a² + b²
a² = c² - b²
a² = 25 - 9
a² = 16
a = 4
2.- calculate the area of the base
Ab = 2(Perimeter x apothem)/2
Ab = (6 x 5) x 4
Ab = 120 ft²
3.- Calculate the lateral area
Al = (6 x 5) x 10
Al = 300 ft²
4.- Total area
At = 120 + 300
= 420 ft²