Nazhifah R

26 Januari 2023 08:09

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Nazhifah R

26 Januari 2023 08:09

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Balok memiliki Keliling alas 26 cm dan tinggi 10 cm. Jika panjang balok lebih panjang 3 cm daripada lebar balok, maka luas permukaan balok adalah... a. 85 b. 170 c. 340 d. 400


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Jawaban terverifikasi

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Annisa F

26 Januari 2023 10:14

Jawaban terverifikasi

<p>Hallo Naz, Aku bantu jawab yaa..</p><p>&nbsp;</p><p><strong>Langkah 1 : kita cari dulu panjang dan lebar dengan cara :</strong></p><p>Diketahui :</p><p>panjang = lebar + 3</p><p>lebar = ?</p><p>Keliling persegi = 2 (p + l)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 26 &nbsp; &nbsp; &nbsp;= 2 ( l + 3 + l )</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 26 &nbsp; &nbsp; &nbsp;= 2 ( 2l + 3 )</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 26 &nbsp; &nbsp; &nbsp;= 4l + 6</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 26 - 6 &nbsp;= 4l</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 20 &nbsp;= 4l</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;l = 20 : 4&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 5&nbsp;</p><p>Jadi :</p><p>Panjang = l + 3&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 5 + 3&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 8&nbsp;</p><p><strong>Jadi panjang 8 cm dan lebar 5 cm&nbsp;</strong></p><p>&nbsp;</p><p>Kemudian kita cari luas permukaan balok, dengan cara :</p><p>Diketahui :</p><p>Panjang = 8&nbsp;</p><p>Lebar &nbsp;= 5&nbsp;</p><p>Tinggi = 10&nbsp;</p><p><strong>Luas permukaan balok = ?</strong></p><p>&nbsp;</p><p>Luas permukaan balok = 2 x ( p.l + l.t + p.t )</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 2 x ( 8 x 5 + 5 x 10 + 8 x 10 )</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 2 x ( 40 + 50 + 80 )</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 2 x ( 170 )</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 340 cm<sup>2</sup></p><p>&nbsp;</p><p><strong>Jadi luas permukaan balok adalah 340 cm<sup>2</sup> ( C )</strong></p><p>&nbsp;</p><p>Semoga bermanfaat :)</p>

Hallo Naz, Aku bantu jawab yaa..

 

Langkah 1 : kita cari dulu panjang dan lebar dengan cara :

Diketahui :

panjang = lebar + 3

lebar = ?

Keliling persegi = 2 (p + l)

                      26      = 2 ( l + 3 + l )

                      26      = 2 ( 2l + 3 )

                      26      = 4l + 6

                    26 - 6  = 4l

                          20  = 4l

                             l = 20 : 4 

                                = 5 

Jadi :

Panjang = l + 3 

                  = 5 + 3 

                   = 8 

Jadi panjang 8 cm dan lebar 5 cm 

 

Kemudian kita cari luas permukaan balok, dengan cara :

Diketahui :

Panjang = 8 

Lebar  = 5 

Tinggi = 10 

Luas permukaan balok = ?

 

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

                                                = 2 x ( 8 x 5 + 5 x 10 + 8 x 10 )

                                                = 2 x ( 40 + 50 + 80 )

                                                = 2 x ( 170 )

                                                = 340 cm2

 

Jadi luas permukaan balok adalah 340 cm2 ( C )

 

Semoga bermanfaat :)


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