Jika volume kubus abcd efgh sama dengan 16√2 maka DF adalah​

Penjelasan dengan langkah-langkah:

Volume = 16√2 cm³

d³/(3√3) = 16 √2

d³ = 16√2 . 3√3

d³ = 48√6

d³ = 2⁴ . 3 . √2 . √3

d³ = (2^3/2)³ . (3^1/2)³

d = 2^3/2 . 3^1/2

d = DF = 2√2 . √3

DF = 2√6 cm

n.b : d = diagonal ruang

Kubus

V = r³ = 16√2

r = ³√(16√2)

r = (2^4 . 2^1/2)^1/3

r = 2^(9/2 × 1/3)

r = 2^3/2

r = 2√2

DF = diagonal ruang

DF = r√3

DF = 2√2 . √3

DF = 2√6 satuan