Question

. Volume sebuah kubus 4.096 cm³. Luas seluruh permukaan kubus tersebut adalah.... ​

Answer 1

Verified answer

Penjelasan dengan langkah-langkah:

Panjang sisi :

= ∛Volume

= ∛4.096

= 16 Cm

Luas permukaan :

= 6 × s²

= 6 × 16²

= 6 × 256

= 1.536 Cm²

Answer 2

•°• Volume sebuah kubus 4.096 cm³. Luas seluruh permukaan kubus tsbt adlh [tex]\underline{\boxed{\red{\bf{1.536~cm²}}}}[/tex]

[tex] \\ \\ [/tex]

Penjelasan dengan langkah-langkah:

• Volume = 4.096 cm³
• Luas Permukaan = ? cm²

[tex] \: [/tex]

Karna panjang sisi belum diketahui maka,cari panjang sisi kubus terlebih dahulu!

[tex]\sf{S_{Kubus}}[/tex] = [tex]\sf{\sqrt[3]{Volume}}[/tex]

[tex]\sf{S_{Kubus}}[/tex] = [tex]\sf{\sqrt[3]{4.096}}[/tex]

[tex]\sf{S_{Kubus}}[/tex] = [tex]\sf{\sqrt[3]{16 × 16 × 16}}[/tex]

[tex]\sf{S_{Kubus}}[/tex] = [tex]\sf{\sqrt[3]{16³}}[/tex]

[tex]\sf{S_{Kubus}}[/tex] = [tex]\underline{\boxed{\bf{16~cm}}}[/tex]

Jadi, panjang sisi kubus adalah [tex]\underline{\boxed{\bf{16~cm}}}[/tex]

[tex] \: [/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \colorbox{yellow}{ \sf{Luas~Permukaan}}[/tex]

[tex]\sf{Lp_{Kubus}}[/tex] = [tex]\sf{6 × S × S}[/tex]

[tex]\sf{Lp_{Kubus}}[/tex] = [tex]\sf{6 × 16 × 16}[/tex]

[tex]\sf{Lp_{Kubus}}[/tex] = [tex]\sf{6 × 256}[/tex]

[tex]\sf{Lp_{Kubus}}[/tex] = [tex]\underline{\boxed{\red{\bf{1.536~cm²}}}}[/tex]

[tex] \\ \\ [/tex]

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[tex] \\ \\ \\ \\ \\ [/tex]

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[tex] \: [/tex]

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