A square pyramid has side lengths of 10 units and a height of 7.6 units. The slant height of each lateral face is 9.1 units. What is the surface area of the pyramid to the nearest unit?
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OpenStudy (anonymous):
OpenStudy (anonymous):
. 282 units^2
b. 182 units^2
c. 82 units^2
d. 382 units^2
OpenStudy (taramgrant0543664):
To do this you find the area of the triangles using A=SL/2
So A=(10)(9.1)/2=?
The area of the square is A=(10)(10)=?
When you add the surface area together you need to take into account there are 4 of the sides
OpenStudy (anonymous):
The formula for square pyramid
\[SA = a^2 +2a \sqrt{\frac{ a^2 }{ 4 } + h^2}\]
Where a is base edge and h is height
OpenStudy (taramgrant0543664):
Which answer do you think it is @11.seventeen
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OpenStudy (anonymous):
Ah i see, it only gives slant hieight and etc. Okay, so use @taramgrant0543664 's formula
OpenStudy (anonymous):
wait lol it is still possible to use my formula.
OpenStudy (anonymous):
282?
OpenStudy (anonymous):
well if you round yes.
it is around 281.95
OpenStudy (taramgrant0543664):
Yes 282 would be your answer!
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