Penjelasan dengan langkah-langkah:
p : l : t = 5 : 1 : 2 = 5x : x : 2x
V balok = L kubus
plt = 10000 cm³
5x × x × 2x = 10000
10x³ = 10000
x³ = 10000/10
x = ³√1000
x = 10 cm
p = 5x = 5×10 = 50 cm
l = x = 10 cm
t = 2x = 2×10 = 20 cm
L alas kubus = s²
s² = 10000
s = √10000
s = 100 cm
Lp balok = 2(pl + pt + lt)
Lp = 2(50×10 + 50×20 + 20×10)
Lp = 2(500 + 1000 + 200)
Lp = 2×1700
Lp = 3400 cm²
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Penjelasan dengan langkah-langkah:
p : l : t = 5 : 1 : 2 = 5x : x : 2x
V balok = L kubus
plt = 10000 cm³
5x × x × 2x = 10000
10x³ = 10000
x³ = 10000/10
x = ³√1000
x = 10 cm
p = 5x = 5×10 = 50 cm
l = x = 10 cm
t = 2x = 2×10 = 20 cm
L alas kubus = s²
s² = 10000
s = √10000
s = 100 cm
Lp balok = 2(pl + pt + lt)
Lp = 2(50×10 + 50×20 + 20×10)
Lp = 2(500 + 1000 + 200)
Lp = 2×1700
Lp = 3400 cm²