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Sebuah kubus memiliki diagonal bidang 82 cm. Volume kubus tersebut adalah?

Rani Maharani

Soal

Sebuah kubus memiliki diagonal bidang 82 cm. Volume kubus tersebut adalah?

Pembahasan

Diketahui: diagonal bidang kubus = 82 cm

Ditanyakan: volume kubus

Rumus diagonal bidang kubus: d = √3 s

dengan s = sisi kubus

Rumus volume kubus: V = s³

Substitusikan d = 82 cm ke dalam rumus diagonal bidang kubus, maka:

82 = √3 s

s = 82/√3 cm

Substitusikan s = 82/√3 cm ke dalam rumus volume kubus, maka:

V = (82/√3)³ cm³

V = 473,034 cm³ (dibulatkan ke tiga angka di belakang koma)

Jadi, volume kubus tersebut adalah 473,034 cm³.

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