Respuesta :
Answer:
420
Step-by-step explanation:
First, you multiply the base by the slant height for the area of one triangle (160). Then multiply that by 1/2 to complete the area equation. 80*4 (four triangles equals 320. Then you multiply to find the base area 10*10= 100. Add those numbers together to get 420.
The surface area of the pyramid is 178.9 square centimeter.
We have a pyramid with the base edges (L) = 10 cm and slant height (S) = 16 cm .
We have to find the Surface area of the pyramid.
What is the formula to find the surface area of the pyramid with base edge = L, base width = w and pyramid height = h?
The formula is -
[tex]S.A. = L^{2} + L\sqrt{L^{2} + 4h^{2} }[/tex]
Now, firstly find the height of the pyramid - using the Pythagoras theorem-
[tex](S)^{2} =(\frac{L}{2} )^{2} +h^{2} \\h^{2} = (S)^{2} - (\frac{L}{2} )^{2}\\h = \sqrt{(S)^{2} - (\frac{L}{2} )^{2}} \\[/tex]
h = 15.19 cm
Substituting the value of height in the formula of surface area -
S.A. = [tex](5)^{2} +5\sqrt{(5)^{2}+4(15.19)^{2} } \\[/tex] = 25 + 5 x 30.78 = 178.9 square centimeter.
Hence, the surface area of the pyramid is 178.9 square centimeter.
To solve more questions on pyramid, visit the link below -
brainly.com/question/17615619
#SPJ2
