The net of a square pyramid is shown below. What is the surface area of the pyramid?
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Answer:
D. [tex] 192 cm^2 [/tex]
Step-by-step explanation:
The net of the pyramid is made up of 1 square base and 4 triangles
Surface area of the pyramid = area of square + 4(area of square)
[tex] S.A = (s^2)+ 4(\frac{1}{2}bh) [/tex]
Where,
s = 8
b = 8
h = 8
[tex] S.A = (8^2)+ 4(\frac{1}{2}*8*8) [/tex]
[tex] S.A = 64+ 4(32) [/tex]
[tex] S.A = 64+ 128 [/tex]
[tex] S.A = 192 cm^2 [/tex]
192 cm^2
Step-by-step explanation:
base = 8 x 8 = 64
1 triangle = 1/2 x 8 x 8 = 32
32 x 4 = 128
128+64 = 192 cm^2