Question

Find the side of a cuboidal box whose volume is 364 metre cube

Answer 1

Given that volume of a cubical box = 364 m³

Let the side of a cubical box is a

We know that volume of a cubical box = a³  

So a³ = 364

⇒ a = ∛364

⇒ a = ∛2×2×7×13

⇒ a = ∛364 m

Answer 2

The side of a cuboidal box is 7.14 m

Step-by-step explanation:

The formula for the volume of a cube is given by :

$V=a^3$

a is side of cube

Put V = 364 m³

$a^3=364\\\\a=(364)^{1/3}\\\\a=7.14\ m$

So, the side of a cuboidal box is 7.14 m.

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