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Pertanyaan

Sebuah balok memiliki panjang begin mathsize 14px style a plus 2 space c m end style. DIketahui lebar dan tinggi balok tersebut secara berturut-turut adalah tiga kali panjang ditambah dua, dan tujuh kurangnya dari dua kali panjang. Rumus fungsi volume balok tersebut dalam begin mathsize 14px style a end style adalah ....

  1. size 14px 6 size 14px a to the power of size 14px 3 size 14px minus size 14px 19 size 14px a to the power of size 14px 2 size 14px plus size 14px 10 size 14px a size 14px minus size 14px 48 

  2. size 14px 6 size 14px a to the power of size 14px 3 size 14px plus size 14px 19 size 14px a to the power of size 14px 2 size 14px plus size 14px 10 size 14px a size 14px minus size 14px 48 

  3. size 14px 6 size 14px a to the power of size 14px 3 size 14px plus size 14px 19 size 14px a to the power of size 14px 2 size 14px minus size 14px 10 size 14px a size 14px minus size 14px 48 

  4. size 14px 6 size 14px a to the power of size 14px 3 size 14px minus size 14px 19 size 14px a to the power of size 14px 2 size 14px minus size 14px 10 size 14px a size 14px minus size 14px 48 

  5. size 14px 6 size 14px a to the power of size 14px 3 size 14px plus size 14px 19 size 14px a to the power of size 14px 2 size 14px plus size 14px 10 size 14px a size 14px plus size 14px 48 

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

Diketahui panjang balok adalah begin mathsize 14px style a plus 2 space c m end style. Dimisalkan panjang balok adalah sebuah fungsi dalam variabel undefined, yaitu begin mathsize 14px style p left parenthesis a right parenthesis equals a plus 2 end style.

Kemudian, diketahui lebar balok sama dengan tiga kali panjangnya ditambah dua. Maka, dimisalkan fungsi lebar dalam undefined 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 3 times p left parenthesis a right parenthesis plus 2 end cell row blank equals cell 3 left parenthesis a space plus space 2 right parenthesis plus 2 end cell row blank equals cell 3 a plus 6 plus 2 end cell row blank equals cell 3 a plus 8 end cell end table end style
Lalu, diketahui tinggi balok sama dengan tujuh kurangnya dari dua kali panjang balok. Maka, dimisalkan fungsi tinggi dalam undefined 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 2 times p left parenthesis a right parenthesis minus 7 end cell row blank equals cell 2 left parenthesis a plus 2 right parenthesis minus 7 end cell row blank equals cell 2 a plus 4 minus 7 end cell row blank equals cell 2 a minus 3 end cell end table end style

Sehingga, rumus volume balok dalam undefined adalah

size 14px V begin mathsize 14px style left parenthesis a right parenthesis end style size 14px equals size 14px p begin mathsize 14px style left parenthesis a right parenthesis end style size 14px cross times size 14px l begin mathsize 14px style left parenthesis a right parenthesis end style size 14px cross times size 14px t begin mathsize 14px style left parenthesis a right parenthesis end style size 14px V begin mathsize 14px style left parenthesis a right parenthesis end style size 14px equals begin mathsize 14px style left parenthesis a plus 2 right parenthesis end style size 14px cross times begin mathsize 14px style left parenthesis 3 a plus 8 right parenthesis end style size 14px cross times begin mathsize 14px style left parenthesis 2 a minus 3 right parenthesis end style size 14px V begin mathsize 14px style left parenthesis a right parenthesis end style size 14px equals begin mathsize 14px style left parenthesis 3 a squared plus 8 a plus 6 a plus 16 right parenthesis end style size 14px cross times begin mathsize 14px style left parenthesis 2 a minus 3 right parenthesis end style size 14px V begin mathsize 14px style left parenthesis a right parenthesis end style size 14px equals begin mathsize 14px style left parenthesis 3 a squared plus 14 a plus 16 right parenthesis end style size 14px cross times begin mathsize 14px style left parenthesis 2 a minus 3 right parenthesis end style size 14px V begin mathsize 14px style left parenthesis a right parenthesis end style size 14px equals begin mathsize 14px style left parenthesis 6 a cubed minus 9 a squared plus 28 a squared minus 42 a plus 32 a minus 48 right parenthesis end style size 14px V begin mathsize 14px style left parenthesis a right parenthesis end style size 14px equals size 14px 6 size 14px a to the power of size 14px 3 size 14px plus size 14px 19 size 14px a to the power of size 14px 2 size 14px minus size 14px 10 size 14px a size 14px minus size 14px 48

Jadi, jawabannya adalah C. 

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