Matematika

Pertanyaan

Diketahui balok ABCD.EFGH, panjang AB=6 cm, BC=8 cm, CG=10 cm.
Hitinglah :
A. Panjang AF
B. Panjang CE
C. Volume
D. Luas permukaan

1 Jawaban

  • A) AF=
    [tex] \sqrt{(ab {}^{2} } + cg {}^{2}) [/tex]
    [tex] \sqrt{(6 {}^{2} } + 10 {}^{2} )[/tex]
    [tex] \sqrt{(36 + 100} )[/tex]
    =11,6cm
    B) AC=
    [tex] \sqrt{(ab {}^{2} } + bc {}^{2} [/tex]
    [tex] \sqrt{(6 {}^{2} } + 8 {}^{2} [/tex]
    [tex] \sqrt{(36 + 64)} [/tex]
    [tex] \sqrt{100} = 10cm[/tex]
    CE=
    [tex] \sqrt{(ac {}^{2} } + cg{}^{2} )[/tex]
    [tex] \sqrt{(10 {}^{2} } + 10 {}^{2} )[/tex]
    [tex] \sqrt{200} = 14.1cm[/tex]
    C) volume=p×l×t
    =6×8×10
    =480cm^3
    D)Luas permukaan=AB×BC
    =6×8
    =48cm^2

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