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Oliga [24]
3 years ago
14

Help Me Please!!!

Mathematics
1 answer:
Ksju [112]3 years ago
8 0

Answer:

The surface area is 288\ cm^{2}

Step-by-step explanation:

we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four triangular lateral faces

so

SA=b^{2} +4[(\frac{1}{2}) (b)(h)]

where

b is the length side of the square base

h is the height of each lateral triangular face

we know that

\frac{b}{2}=h -----> by angle of 45 degrees

sin(45\°)=\frac{h}{6\sqrt{2}}

h=6\sqrt{2}(sin(45\°)

h=6\ cm

Find the value of b

b=2h=2(6)=12\ cm

Find the surface area

SA=12^{2} +4[(\frac{1}{2}) (12)(6)]=288\ cm^{2}

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