Answer:
85 inches²
Step-by-step explanation:
1) Find the area of the square base
[tex]A=l^2[/tex] where l is the length
Plug 5 inches in the equation as the length
[tex]A=5^2\\A=25[/tex]
Therefore, the area of the square base is 25 inches².
2) Find the area of the triangles
[tex]A=\frac{1}{2}bh[/tex] where b is the base length and h is the height
Plug in 5 inches as the base length and 6 inches as the height
[tex]A=\frac{1}{2}(5)(6)\\A=\frac{1}{2}(30)\\A=15[/tex]
Therefore, the area of one triangle is 15 inches².
Multiply 15 by 4 because there are 4 triangles
15×4=60
Therefore, the area of all the triangles is 60 inches².
3) Add the area of the base and the area of the triangles
25+60=85 inches²
Therefore, the surface area of the pyramid is 85 inches².
I hope this helps!
