Question

the volume of a cubical box is110593 cm² find the length of the each side of the Box​

Answer 1

Question :

The volume of a cubical box is 110592 cm³. find the length of the each side of the Box.

Given :

• Volume of cubical box = 110592 cm³

To find :

• Side of the box .

Formula to be used :

$\boxed {\underline {\sf Volume \: of \: cube = (side)^3 }}$

Solution:

$\sf {Volume_{cube} = (side)^3}$

$: \implies \sf { 110592 = (side)^3}$

$: \implies \sf {\sqrt[3]{110592} = side}$

$: \implies \sf { side = 48 }$

$\boxed {\small {\mathfrak {\underline {\pink {Side \: of \: cubical \: box = 48 \: cm}}}}}$

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Additional information :

• Volume of cuboid = l × b × h
• Volume of cylinder = πr²h
• Volume of cone = 1/3 πr²h
• Volume of sphere = 4/3 πr³
• Volume of hemisphere = 2/3 πr³

Answer 2

Given :

• Volume of cubical box = 110592 cm³

To Find :

• Side of the box

Solution :

$\large: \implies\boxed{\sf {\green{Volume_{cube} = (side)^3}}}$

$: \implies \sf { 110592 = (side)^3}$

$: \implies \sf {\sqrt[3]{110592} = side}$

$: \implies \sf { side = 48 }$

$\large\therefore \bf {\underline {\pink {Side \: of \: cubical \: box = 48 \: cm}}}$