the cuboidal box of dimensions 81 cm x 27 cm x 9 cm is made into a cub

1.	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.
Answer» 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

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.

Answer»

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