Roboguru

Pertanyaan

Perbandingan panjang, lebar, dan tinggi sebuah balok adalah jika luas permukaan balok , maka tentukan besar volume balok tersebut.

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

Diketahui:

begin mathsize 14px style p colon l colon t equals 5 colon 2 colon 1 end style 
LP balok begin mathsize 14px style equals 306 space cm squared end style 

Ditanya:

Volume balok = ?

Pembahasan:

Misal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row p equals cell 5 a end cell row l equals cell 2 a end cell row t equals a end table end style

Maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px LP size 14px space size 14px balok end cell size 14px equals size 14px 306 row cell size 14px 2 size 14px left parenthesis size 14px p size 14px l size 14px plus size 14px p size 14px t size 14px plus size 14px l size 14px t size 14px right parenthesis end cell size 14px equals size 14px 306 row cell size 14px 2 size 14px left parenthesis size 14px 5 size 14px a size 14px cross times size 14px 2 size 14px a size 14px plus size 14px 5 size 14px a size 14px cross times size 14px a size 14px plus size 14px 2 size 14px a size 14px cross times size 14px a size 14px right parenthesis end cell size 14px equals size 14px 306 row cell size 14px 2 size 14px left parenthesis size 14px 10 size 14px a to the power of size 14px 2 size 14px plus size 14px 5 size 14px a to the power of size 14px 2 size 14px plus size 14px 2 size 14px a to the power of size 14px 2 size 14px right parenthesis end cell size 14px equals size 14px 306 row cell size 14px 2 size 14px left parenthesis size 14px 17 size 14px a to the power of size 14px 2 size 14px right parenthesis end cell size 14px equals size 14px 306 row cell size 14px 17 size 14px a to the power of size 14px 2 end cell size 14px equals cell size 14px 306 over size 14px 2 end cell row cell size 14px 17 size 14px a to the power of size 14px 2 end cell size 14px equals size 14px 153 row cell size 14px a to the power of size 14px 2 end cell size 14px equals size 14px 9 row size 14px a size 14px equals size 14px 3 end table

Sehingga volume balok:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell volume space balok end cell equals cell p cross times l cross times t end cell row blank equals cell 5 a cross times 2 a cross times a end cell row blank equals cell 15 cross times 6 cross times 3 end cell row blank equals 270 end table end style

Jadi volume balok tersebut sama dengan begin mathsize 14px style 270 space cm cubed end style

42

5.0 (2 rating)

Pertanyaan serupa

Tentukan luas permukaan dan volume bangun ruang gabungan berikut.

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Jawaban terverifikasi

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