perbandingan panjang lebar dan tinggi sebuah balok 4:3:2 jika luas permukaan balok 468cm² hitung volume balok

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[tex]
L = 468\\
p:l: t = 4: 3: 2\\
p = 4x\\
l = 3x\\
t= 2x\\
\\
L = 2(p \times l)+2(l \times t) + 2(p \times t)\\
L = 2(4x \times 3x)+2(3x \times 2x) + 2(4x \times 2x)\\
L = 2(12x^2)+2(6x^2) + 2(8x^2)\\
L = 24x^2 + 12x^2 + 16x^2\\
L = 52x^2\\
468 = 52x^2\\
x^2 = \frac {468}{52} = 9\\
x = \sqrt {9} = 3\\
\\
p = 4x = 4(3) = 12\\
l = 3x = 3(3) = 9\\
t = 2x = 2(3) = 6\\
\\
V = p \times l \times t\\
V = 12 \times 9 \times 6\\
V = 648

[/tex]