MEDAL!!!
Find the surface area of the regular pyramid shown to the nearest whole number. The figure is not drawn to scale/
A. 351 m^2
B. 415 m^2
C. 542 m^2
D. 790 m^2
@jim_thompson5910

Question

MEDAL!!! 
Find the surface area of the regular pyramid shown to the nearest whole number. The figure is not drawn to scale/
A. 351 m^2
B. 415 m^2
C. 542 m^2
D. 790 m^2
@jim_thompson5910

jessiegonzales · Answer

attachment

jim_thompson5910 · Answer

what is the area of each triangular face?

jessiegonzales · Answer

117

jim_thompson5910 · Answer

you have to cut that in half to get 117/2 = 58.5

jim_thompson5910 · Answer

how many triangular faces are there

jessiegonzales · Answer

6

jim_thompson5910 · Answer

multiply 58.5 by 6 to get the lateral surface area

jim_thompson5910 · Answer

what do you get

jessiegonzales · Answer

351

jim_thompson5910 · Answer

so LSA = 351

jim_thompson5910 · Answer

now onto the base

jim_thompson5910 · Answer

the base looks something like this
|dw:1417230433344:dw|

jim_thompson5910 · Answer

cut it up into 6 congruent triangles

|dw:1417230471123:dw|

jim_thompson5910 · Answer

the base of each triangle is 13 and the height of each triangle is $\large 6.5\sqrt{3}$

|dw:1417230524557:dw|

jim_thompson5910 · Answer

find the area of each triangle and multiply by 6 to get the area of the base

jessiegonzales · Answer

so 351 was just the surface area?

jim_thompson5910 · Answer

the lateral surface area

not the whole surface area

jim_thompson5910 · Answer

we need the base as well

jessiegonzales · Answer

oh now I see

jessiegonzales · Answer

to find the area of the base I multiply 6 by what?

jim_thompson5910 · Answer

the area of each triangle

|dw:1417230736477:dw|