Answer:
below
Explanation:
1. Area for Face A (the square)
Formula: A=a^2
A = Area, a = side
Fill in:
A = 7^2
Solve:
7 ^2, aka 7 x 7 = 49
2. Area for Face B (the flat triangles)
Formula: A = 1/2 × b × h
b = base, h = height
Fill in:
A = 1/2 × 7 × 10
Solve:
(Multiplying by 1/2 is the same as dividing by 2)
A = 1/2 x 7 x 10
7 × 10 = 70
divide by 2
70/2 = 35
Now we count how many Face B triangles there are, and add the area of each one together:
# of Face B Triangles: 4
multiply it by 35, or just add 35 4 times: 140
3. Total Surface Area for Pyramid:
Base Surface Area = 7^2 = 49
Lateral Surface Area = 2 × 7 × √(7/2)^2 + 10^2 =148.32734070292
Total Surface Area = 197.32734070292