Matematika

Pertanyaan

Panjang AD =20 cm, AE =12 cm, dan EB =28 cm. Jika luas permukaan prisma 4.280 cm², tinggi prisma tersebut.... cm

1 Jawaban

  • DE² = 20² - 12²
    = 400 - 144
    = 256
    DE = √256
    = 16 cm
    AB = AE + EB
    = 12 + 28
    = 40 cm

    L prisma = (2×AB×DE) + (keliling ×
    t.prisma)
    4280 = (2 × 40 × 16) + [(40+40+20+20) × t]
    = 1280 + 120t
    120t = 4280 - 1280
    t = 3000/120
    t = 25 cm
    jadi tinggi prisma = 25 cm

Pertanyaan Lainnya