Matematika

Pertanyaan

tlg ya. no 28 & 29.
thnkyouu
tlg ya. no 28 & 29. thnkyouu

2 Jawaban

  • 29 .V = V1 + V2
    = ( 1/2 x a x t x tp) + ( P x l x t )
    = ( 1/2 x 10 cm x 8 cm x 18 cm ) + (18 cm x 10 cm x 12 cm )
    = 720 cm + 2160 cm
    = 2.880 cm
  • (28.)
    diketahui:
    p balok = 18 cm
    l balok = 10 cm
    t balok = 12

    p prisma = 18 cm
    l prisma = 10 cm
    t priama = 20 - 12 = 8 cm

    ditanya : v = ....?
    jawab
    v balok = p x l x t
    v balok = 18 x 10 x 12
    v balok = 2160 cm³

    v prisma = luas alas segi tiga x panjang
    v prisma = (1/2 x 10 x 12) x 18
    v prisma = 60 x 18
    v prisma = 1080 cm³

    v balok + v prisma = 2160 + 1080 = 3240 cm³

    (29)
    diketahui
    p prisma = l prisma = 10 cm
    t prisma = 6 cm

    p limas = p prisma = l prisma = 10 cm
    t limas = 12 cm

    ditanya : luas permukaan bangun

    jawab
    a. luas permukaan prisma
    LP prisma = L 4 x dinding + L alas
    LP prisma = 4 x p x t + p x l
    LP prisma = 4 x 10 x 6 + 10 x 10
    LP prisma = 240 + 100
    LP prisma = 340 cm²

    b. luas permukaan limas
    (t segitiga limas)² = (1/2 p)² + (t limas)²
    (tsegitiga limas)² = (1/2 x 10)² + 12²
    (t segitiga limas)² = 5² + 12²
    (t segitiga limas)² = 25 + 144
    t degitiga limas = √169
    t segitiga limas = 13 cm

    LP limas = 4 x dinding segitiga
    LP limas = 4 x (1/2 x p x t segitiga)
    LP limas = 4 x (1/2 x 10 x 13)
    LP limas = 4 x ( 65 )
    LP limas = 260 cm²

    jadi,
    LP prisma + LP limas = 340 + 260 = 600 cm²