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Формула объема куба:
V = a³ где а - длина ребра куба (1)
Если объем куба с данным ребром а увеличить в 8 раз, получим куб объемом 8V.
Тогда, обозначив длину ребра этого куба через х, получим равенство:
8V = х³ (2)
Из (1) и (2) => 8a³ = х³ => х = ∛ 8 * a => х = 2a
ответ: ребро куба нужно увеличить в 2 раза.