Matematika

Pertanyaan

bantu ya nomer 13 14 15 makasiih jan main main yaa
bantu ya nomer 13 14 15 makasiih jan main main yaa

1 Jawaban

  • 13. LPbalok = 2[(p×l)+(p×t)+(l×t)]
    => 258 = 2[(p×l)+(p×t)+(l×t)]
    => 258 = 2[(9×5)+(9×t)+(5×t)]
    => 258 = 2(45+9t+5t)
    => 258 = 2(45+14t)
    => 258 = 90 + 28t
    => 258 - 90 = 28t
    => 168 = 28t
    => 168/28 = t
    => t = 6 cm

    Vbalok = p×l×t
    => Vb = 9 × 5 × 6
    => Vb = 270 cm³

    14. Sisi = n + 2 => Sisi = 7 + 2 = 9 sisi
    Rusuk = 3n => Rusuk = 3 × 7 = 21 rusuk
    Titik sudut = 2n => Titik sudut = 2 × 7 = 14 titik sudut

    15. LPprisma∆ = 2alas + selimut1 + selimut2 + selimut 3

    alas = at/2
    => 12×16/2 = 12×8 = 96 cm²

    selimut1 = p1 × tp = 12 × 25 = 300 cm²
    selimut2 = p2 × tp = 16 × 25 = 400 cm²
    selimut3 = p3 × tp = 20 × 25 = 500 cm²

    LPp∆ = 2a + s1 + s2 + s3
    => LPp∆ = 2×96 + 300 + 400 + 500
    => LPp∆ = 192 + 1200
    => LPp∆ = 1392 cm²

    keterangan :
    •LPbalok = Luas Permukaan balom
    •p = panjang
    •l = lebar
    •t = tinggi
    •Vbalok = Volume balok
    •n = Jumlah rusuk/sisi bangun datar dari prisma
    •LPprisma∆ & LPp∆ = Luas Permukaan prisma segitiga
    •selimut = bangun datar di antara alas dan tutup dari prisma
    •a = alas