the cuboidal box of dimensions 81 cm x 27 cm x 9 cm is made into a cubical box.Find the edge of cubical box.
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Answer:
27 cm
Step-by-step explanation:
Let the side of the cubical box be a
Volume of the cuboid = 81 × 27 × 9 cm³
Because, the cuboidal box was made into a cubical box,
Volume of cube = Volume of cuboid
=> a³ = 81 × 27 × 9 cm³
=> a³ = 81 × 3³ × 9 cm³
=> a³ = 729 × 3³ cm³ = 9³ × 3³ cm³
=> a = 9×3 cm = 27 cm
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