Nanik N

24 Mei 2023 09:40

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Nanik N

24 Mei 2023 09:40

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24 Mei 2023 10:12

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<p>Diketahui :</p><ul><li>Perbandingan p : l : t = 4 : 3 : 1</li><li>V = 324 cm<sup>3</sup></li></ul><p>&nbsp;</p><p>Mari kita bahas pertanyaannya ....</p><p>a. <strong>Menentukan panjang (p), lebar (l) dan tinggi (t)</strong></p><p>&nbsp; &nbsp; &nbsp;Misalkan dibelakang perbandingannya kita beri variabel a</p><p>&nbsp; &nbsp; &nbsp;V = p x l x t</p><p>&nbsp; &nbsp; &nbsp;324 = 4a x 3a x a</p><p>&nbsp; &nbsp; &nbsp;324 = 12a<sup>3</sup></p><p>&nbsp; &nbsp; &nbsp;324 : 12 = a<sup>3</sup></p><p>&nbsp; &nbsp; &nbsp;27 = a<sup>3</sup></p><p>&nbsp; &nbsp; &nbsp;a = 3</p><p>&nbsp; &nbsp; &nbsp; Panjang = 4a = 4(3) =<strong> 12 cm</strong></p><p>&nbsp; &nbsp; &nbsp; Lebar = 3a = 3(3) =<strong> 9 cm</strong></p><p>&nbsp; &nbsp; &nbsp; Tinggi = a = <strong>3 cm</strong></p><p>&nbsp;</p><p>b. Luas alas = p x l</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 12 x 9</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;=<strong> 108 cm<sup>2</sup></strong></p><p>&nbsp;</p><p>c. Panjang rusuk = 4 x (p + l + t)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 4 x (12 + 9 + 3)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 4 x 24</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= <strong>96 cm</strong></p><p>&nbsp;</p><p>d. Luas permukaan = 2 x (pxl + p x t + l x t)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 2 x (12 x 9 + 12 x 3 + 9 x 3)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 2 x (108 + 36 + 27)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 2 x 171</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; =<strong> 342 cm<sup>2</sup></strong></p><p>&nbsp;</p>

Diketahui :

  • Perbandingan p : l : t = 4 : 3 : 1
  • V = 324 cm3

 

Mari kita bahas pertanyaannya ....

a. Menentukan panjang (p), lebar (l) dan tinggi (t)

     Misalkan dibelakang perbandingannya kita beri variabel a

     V = p x l x t

     324 = 4a x 3a x a

     324 = 12a3

     324 : 12 = a3

     27 = a3

     a = 3

      Panjang = 4a = 4(3) = 12 cm

      Lebar = 3a = 3(3) = 9 cm

      Tinggi = a = 3 cm

 

b. Luas alas = p x l

                         = 12 x 9

                         = 108 cm2

 

c. Panjang rusuk = 4 x (p + l + t)

                                   = 4 x (12 + 9 + 3)

                                   = 4 x 24

                                   = 96 cm

 

d. Luas permukaan = 2 x (pxl + p x t + l x t)

                                         = 2 x (12 x 9 + 12 x 3 + 9 x 3)

                                          = 2 x (108 + 36 + 27)

                                          = 2 x 171

                                          = 342 cm2

 


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