alas sebuah prisma berbentuk segitiga siku siku dengan panjang salah satu sisi siku siku nya 30cm, volume prisma 30.000 cm dan tinggi prisma 50cm, luas permukaa

Dik :
a = 30 cm
v = 30.000 cm^3
t = 50 cm

Dit :
Lp = ...?

Jawab :
v = La × t
La = v / t
La = 30.000 cm^3 / 50 cm
La = 600 cm

b = 2 × 600 cm / 30 cm
b = 1200 cm / 30 cm
b = 40 cm

c = akar a^2 + b^2
c = akar 30^2 + 40^2
c = akar 900 cm + 1600 cm
c = akar 2500 cm
c = 50 cm

Ka = a + b + c
Ka = 30 cm + 40 cm + 50 cm
Ka = 120 cm

Lp = 2 × La + (Ka × t)
Lp = 2 × 1/2 (a × b) + (120 cm × 50 cm)
Lp = 2 × 1/2 (30 cm × 40 cm) + (120 cm × 50 cm)
Lp = 2 × 1/2 (1.200) + (120 cm × 50 cm)
Lp = 2 × 1.200 cm + (120 cm × 50 cm)
Lp = 1.200 cm + 6.000 cm
Lp = 7.200 cm^2

Ket :
La = Luas alas
Ka = Keliling alas