Find the surface area of the solid. Round to the nearest square foot.
A.
147 ft2
B.
245 ft2
C.
196 ft2
D.
98 ft2
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OpenStudy (anonymous):
OpenStudy (jdoe0001):
do you know what's the Area of a Triangle?
OpenStudy (anonymous):
not really.. b*h
OpenStudy (jdoe0001):
1/2 bh
OpenStudy (jdoe0001):
so the pyramid has 4 TRIANGULAR LATERAL faces, you're given the height of each and base as well
so find their area and SUM them up
the bottom is a 7x7 square, find that area and add it to the triangles' area
and that'd be the total surface area of the pyramid
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OpenStudy (anonymous):
k, so it'll be 7*7*1/2 then that answer times 7
OpenStudy (anonymous):
right?
OpenStudy (anonymous):
@jdoe0001
OpenStudy (jdoe0001):
well, \(\bf \textit{area of a triangle}=\cfrac{1}{2}bh\implies \cfrac{1}{2}\cdot (7\cdot 7)\qquad \textit{you have 4 triangles, so}
\\ \quad \\
\left(\cfrac{1}{2}\cdot (7\cdot 7)\right)\cdot 4
\\ \quad \\
\textit{area of the square bottom}=7\cdot 7\)
OpenStudy (anonymous):
THANK YOU!!!!!!!!
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