Question

the volume of a cubical box ia 32768m`3
Find the length of its side​

Answer 1

Answer:

Let the length of cubical box = a meter

given volume of box = 32768 m³

⇒ a³ = 32768 m³

⇒ a = ∛32768

⇒ a = 32 m

Length of each edge is 32m

Answer 2

$\huge\purple{\underline{\underline{\pink{Ans}\red{wer:-}}}}$

$\sf{Length \ of \ side \ is \ 32 \ m}$

$\sf\orange{Given:}$

$\sf{\implies{Volume \ of \ a \ cuboidal \ box=32768 \ m^{3}}}$

$\sf\pink{To \ find:}$

$\sf{Length \ of \ it's \ side(l)}$

$\sf\green{\underline{\underline{Solution:}}}$

$\sf{Volume \ of \ cube=side^{3}}$

$\sf{\implies{side^{3}=32768}}$

$\sf{\implies{side^{3}=8\times8\times8\times8\times8}}$

$\sf{Taking \ cube \ root \ of \ both \ sides}$

$\sf{\implies{side=2\times2\times2\times2\times2}}$

$\sf{\implies{side=32 \ m}}$

$\sf\purple{\tt{\therefore{Length \ of \ side \ is \ 32 \ m}}}$