Matematika

Pertanyaan

diketahui luas permukaan balok disamping 108 dm².volume balok...dm³

a.72
b.96
c.120.
d.140
diketahui luas permukaan balok disamping 108 dm².volume balok...dm³ a.72 b.96 c.120. d.140

1 Jawaban

  • lp = 2(PL + LT + PT)
    108 = 2((x+2)(x-1) + (x-1)x + (x+2)x)
    108/2 = ( x² +x -2 + x² - x + x² + 2x)
    54 = 3x² +2x -2
    3x² + 2x -56 = 0
    (3x+14)(x-4) = 0

    x - 4 = 0
    x = 4
    p = 4+2 = 6dm
    l = 4-1 = 3dm
    t = 4dm

    Volume = PLT = 4(3)(6) = 72 dm³