Perbandingan panjang,lebar,tinggi sebuah balok adalah 4:2:3. Jika panjang diagonal ruang balok tersebut √261 cm, tentukan panjang,lebar,dan tingginya ! Pake car

Panjang diagonal ruang = ([tex] \sqrt{ p^{2} + l^{2} + t^{2} } [/tex]          = √261
                                       =[tex] \sqrt{ (4x)^{2} } (2x)^{2} }(3x)^{2} }[/tex] = √261
                                       =[tex]\sqrt{ 16 x^{2}+4 x^{2} +9 x^{2} }[/tex]     = √261
                                       =[tex] \sqrt{29 x^{2} } [/tex] = √261
                                       =√29 x = √261
                                       = x = √9 = 3
Jadi panjang = 4×3 = 12
        lebar      =  2×3 = 6
        tinggi     = 3×3 = 9