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Sebuah balok memiliki panjang begin mathsize 14px style a plus 1 space c m end style. Diketahui lebar dan tinggi balok tersebut secara berturut-turut adalah dua kali panjang ditambah tiga, dan lima kurangnya dari tiga kali panjang. Rumus fungsi volume balok tersebut dalam begin mathsize 14px style a end style adalah ....

  1. begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank 6 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank cubed end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 17 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank squared end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 10 end table end style

  2. begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank 6 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank cubed end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 17 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank squared end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 10 end table end style  

  3. begin mathsize 14px style 6 straight a cubed plus 11 straight a squared minus 30 straight a minus 7 end style 

  4. begin mathsize 14px style 6 straight a cubed minus 11 straight a squared minus 30 straight a minus 7 end style 

  5. begin mathsize 14px style 6 straight a cubed plus 11 straight a squared plus 30 straight a plus 7 end style 

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

jawabannya adalah B.   

Pembahasan

Diketahui panjang balok adalah begin mathsize 14px style a plus 1 space c m end style. Dimisalkan panjang balok adalah sebuah fungsi dalam variabel begin mathsize 14px style a end style, yaitu begin mathsize 14px style p left parenthesis a right parenthesis equals a plus 1 end style.

Kemudian, diketahui lebar balok sama dengan dua kali panjang ditambah tiga. Maka, dimisalkan fungsi lebar dalam begin mathsize 14px style a end style adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell l left parenthesis a right parenthesis end cell equals cell 2 left parenthesis a plus 1 right parenthesis plus 3 end cell row blank equals cell 2 a plus 2 plus 3 end cell row blank equals cell 2 a plus 5 end cell end table end style

Lalu, diketahui tinggi balok sama dengan lima kurangnya dari tiga kali panjang. Maka, dimisalkan fungsi tinggi dalam begin mathsize 14px style a end style adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell t left parenthesis a right parenthesis end cell equals cell 3 left parenthesis a plus 1 right parenthesis minus 5 end cell row blank equals cell 3 a plus 3 minus 5 end cell row blank equals cell 3 a minus 2 end cell end table end style

Sehingga, rumus fungsi volume balok dalam begin mathsize 14px style a end style adalah

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell size 14px V size 14px left parenthesis size 14px a size 14px right parenthesis begin mathsize 14px style equals p left parenthesis a right parenthesis cross times l left parenthesis a right parenthesis cross times t left parenthesis a right parenthesis end style end cell row blank blank cell size 14px V size 14px left parenthesis size 14px a size 14px right parenthesis begin mathsize 14px style equals left parenthesis a plus 1 right parenthesis cross times left parenthesis 2 a plus 5 right parenthesis cross times left parenthesis 3 a minus 2 right parenthesis end style end cell row blank blank cell begin mathsize 14px style V left parenthesis a right parenthesis end style begin mathsize 14px style equals end style begin mathsize 14px style left parenthesis 2 a squared plus 5 a plus 2 a plus 5 right parenthesis cross times left parenthesis 3 a minus 2 right parenthesis end style end cell row blank blank cell begin mathsize 14px style V left parenthesis a right parenthesis end style begin mathsize 14px style equals end style begin mathsize 14px style left parenthesis 2 a squared plus 7 a plus 5 right parenthesis cross times left parenthesis 3 a minus 2 right parenthesis end style end cell row blank blank cell begin mathsize 14px style V left parenthesis a right parenthesis end style begin mathsize 14px style equals end style begin mathsize 14px style left parenthesis 6 a cubed minus 4 a squared plus 21 a squared minus 14 a plus 15 a minus 10 right parenthesis end style end cell row blank blank cell begin mathsize 14px style V left parenthesis a right parenthesis end style begin mathsize 14px style equals end style begin mathsize 14px style 6 end style begin mathsize 14px style a end style begin mathsize 14px style blank cubed end style begin mathsize 14px style plus end style begin mathsize 14px style 17 end style begin mathsize 14px style a end style begin mathsize 14px style blank squared end style begin mathsize 14px style plus end style begin mathsize 14px style a end style begin mathsize 14px style minus end style begin mathsize 14px style 10 end style end cell end table

Jadi, jawabannya adalah B.   

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