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29 Mei 2023 00:56

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29 Mei 2023 00:56

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29 Mei 2023 01:20

Jawaban terverifikasi

<p>Jawaban ada dibawah.</p><p>&nbsp;</p><p>Pembahasan :</p><ul><li>Tinggi Prisma = BC = 6 cm</li><li>EF<sup>2</sup> = AB<sup>2</sup> + (AE - FB)<sup>2</sup></li></ul><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 4<sup>2</sup> + (8 - 5)<sup>2</sup></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 16 + 9</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 25</p><p>&nbsp; &nbsp; &nbsp; EF = √25 = 5 cm</p><ul><li>Luas prisma = (2 x luas alas) + (keliling alas x tinggi prisma)</li></ul><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (2 x ((FB + AE) x AB)/2) + ((AB + FB + EF + AE) x BC)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (2 x ((5 + 8) x 4)/2) + ((4 + 5 + 5 + 8) x 6)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = ( 2 x (13 x 4)/2) + (22 x 6)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (2 x 26) + 132</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 52 + 132</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 184 cm<sup>2</sup></p><ul><li>Volume prisma = L alas x tinggi prisma</li></ul><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 26 x 6</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 156 cm<sup>3</sup></p>

Jawaban ada dibawah.

 

Pembahasan :

  • Tinggi Prisma = BC = 6 cm
  • EF2 = AB2 + (AE - FB)2

              = 42 + (8 - 5)2

              = 16 + 9

              = 25

      EF = √25 = 5 cm

  • Luas prisma = (2 x luas alas) + (keliling alas x tinggi prisma)

                                 = (2 x ((FB + AE) x AB)/2) + ((AB + FB + EF + AE) x BC)

                                  = (2 x ((5 + 8) x 4)/2) + ((4 + 5 + 5 + 8) x 6)

                                  = ( 2 x (13 x 4)/2) + (22 x 6)

                                  = (2 x 26) + 132

                                  = 52 + 132

                                  = 184 cm2

  • Volume prisma = L alas x tinggi prisma

                                       = 26 x 6

                                       = 156 cm3

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