Question

a cubical box a volume of 1728cm.find its sides​

Answer 1

Given :-

Volume of a cubical box = 1728$cm^3$

To find :-

The sides of a cubical box = ?

Solution :-

As we know,

$Volume = side \times side \times side$

Put the value of volume in the formula.

$1728 = (side)^3$

$\sqrt[3]{1728} = side$

$\sqrt[3]{12 \times 12 \times 12} = side$

$side = 12 cm~each$

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Additional Information :-

▪ Volume of cube = side × side × side

▪ Diagonal of cube = $\sqrt{3l}$

▪Perimeter of cube = 12 × side

▪ Volume of cuboid = length × breadth × height

▪ Diagonal of cuboid = $\sqrt{( l^2 + b^2 + h^2})$

▪ Perimeter of cuboid = 4( length + breadth + height)