Question

the volume of the cubical box is 29791÷216 m cube.find it's side

Answer 1

$Volume of a cube = ( length of sides of cube )^{3}$

Given , volume = (  29791÷216 ) = 137.921

or $sides^{3} = 137.921$

$Hence sides = \sqrt[3]{137.921} = 5.166 meters$

Answer 2

Length of the measure of side = 5.166 meters

Given:

The volume of the cubical box is 29791/216 m³

To find:

Measure of side of cube

Solution:

As we know Volume of a cube V = a³

where a is the measure of the side of the cube

From given data volume of cube = 29791/216

Let's assume that length of the side of given box is s

⇒ Volume of the box = s³  

From given data s³ = 29791/216    

⇒ s = ∛29791/216  

⇒ s = ∛(31)³/ (6)³

⇒ s = 31/6

⇒ s = 5.166 meters

Therefore, length of the measure of side = 5.166 meters

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