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Perhatikan gambar di bawah ini ! ABCD.EFGH pada gambar di atas adalah Prisma dengan ABFE sejajar DCGH. Panjang AB = 4 cm, BC = 6 cm, AE = 8 cm, dan BF = 5 cm. Luas permukaan prisma adalah .…

Perhatikan gambar di bawah ini !

ABCD.EFGH pada gambar di atas adalah Prisma dengan ABFE sejajar DCGH. Panjang AB = 4 cm, BC = 6 cm, AE = 8 cm, dan BF = 5 cm. Luas permukaan prisma adalah .…

  1. 156 cm²

  2. 158 cm²

  3. 184 cm²

  4. 236 cm²

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Diketahui : AB = 4 cm, BC = 6 cm, AE = 8 cm, dan BF = 5 cm, maka : Jadi, luas permukaan prisma adalah 184cm 2

Diketahui :

AB = 4 cm, BC = 6 cm, AE = 8 cm, dan BF = 5 cm, maka :

begin mathsize 12px style E F equals square root of A B squared plus open parentheses A E minus B F close parentheses squared end root space space space space equals square root of 4 squared plus 3 squared end root space space space space equals space square root of 16 plus 9 end root space space space space equals square root of 25 space space space space equals 5 end style

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell L u a s space A B F E space end cell equals cell space L u a s space T r a p e s i u m end cell row cell space space space space space space space space space space space space space space space space space end cell equals cell fraction numerator open parentheses A E plus B F close parentheses A B over denominator 2 end fraction end cell row cell space space space space space space space space space space space space space space space space space end cell equals cell fraction numerator open parentheses 8 plus 5 close parentheses 4 over denominator 2 end fraction equals 26 space c m squared end cell row blank blank blank row cell L u a s space B C G F space end cell equals cell B C cross times B F end cell row cell space space space space space space space space space space space space space space space space space space end cell equals cell 6 cross times 5 end cell row cell space space space space space space space space space space space space space space space space space space end cell equals cell 30 space c m squared end cell row blank blank blank row cell L u a s space B C D A space end cell equals cell space B C cross times A B space end cell row cell space space space space space space space space space space space space space space space space space space end cell equals cell 6 cross times 4 end cell row cell space space space space space space space space space space space space space space space space space space end cell equals cell 24 space c m squared end cell row blank blank blank row cell L u a s space A D H E space end cell equals cell space A D cross times A E space end cell row cell space space space space space space space space space space space space space space space space space end cell equals cell space 6 cross times 8 space end cell row cell space space space space space space space space space space space space space space space space space end cell equals cell space 48 space c m ² end cell row blank blank blank row cell L u a s space F G E H space end cell equals cell space F G cross times E F space end cell row cell space space space space space space space space space space space space space space space space space space end cell equals cell space 6 cross times 5 space end cell row cell space space space space space space space space space space space space space space space space space space end cell equals cell space 30 space c m ² end cell row blank blank blank row blank blank blank row blank blank blank row blank blank blank end table end style

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell L u a s space p e r m u k a a n space p r i s m a space end cell equals cell space 2. L subscript A B F E end subscript space plus space L subscript B C F G end subscript space plus space L subscript B C A D end subscript space plus space L subscript A D E H end subscript space plus space space L subscript F G E H end subscript end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell equals cell space 2 left parenthesis 26 right parenthesis space plus space 30 space plus space 24 space plus space 48 space plus 30 end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell equals cell space 52 space plus space 132 end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell equals cell space 184 space c m ² end cell end table end style

Jadi, luas permukaan prisma adalah 184 cm2

 

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Perhatikan gambar di bawah ini! ABCD.EFGH pada gambar di samping adalah prisma dengan ABFE sejajar DCGH. Panjang AB = 4 cm, BC = 6 cm, AE = 8 cm, dan BF = 5 cm. Luas permukaan prisma adalah…

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