A net of a square pyramid is shown below. What is the surface area, in squared centimeters, of the pyramid?
A. 60.7
B. 86.7
C. 121.4
D. 147.4

A net of a square pyramid is shown below What is the surface area in squared centimeters of the pyramid A 607 B 867 C 1214 D 1474 class=

Respuesta :

Answer:

[tex]\text{B. }86.7}[/tex]

Step-by-step explanation:

The total surface area of the square pyramid consists of one square and four congruent triangles. By adding the total area of each, we get the total surface area of the square pyramid.

Area of the square: [tex]5.1^2=26.01[/tex]

Area of four triangles: [tex]4\cdot \frac{1}{2}\cdot 5.95\cdot 5.1=60.69[/tex]

Therefore, the total surface area of the pyramid is [tex]26.01+60.69=\boxed{\text{B. }86.7}}[/tex]

the answer is “B”, 86.7
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