Question

koena got a gift which measured the same all sides .if it contains biscuits occupying 3375cu cm how big was the box?​

Answer 1

$\underline{\underline{\huge{\gray{\tt{\textbf Answer :-}}}}}$

$\:\:$

$\sf\large\bold{\orange{\underline{\blue{ Given :-}}}}$

$\:\:$

• All sides of gift are same

• Gift contains biscuits occupying 3375 cu. cm

$\:\:$

$\sf\large\bold{\orange{\underline{\blue{ To \: Find :-}}}}$

$\:\:$

• Side of gift

$\:\:$

$\sf\large\bold{\orange{\underline{\blue{ Solution :-}}}}$

$\:\:$

• Let the side of gift be 'z'

$\:\:$

Given that , the sides of gift are all same thus the gift must be in cubical shape hence the side of cubical box could be measured by the given volume of it

$\:\:$

Thus ,

$\:\:$

$\underline{ \underline{\bold{\texttt{Volume of cube :}}}}$

$\:\:$

➠ V = s³ ⚊⚊⚊⚊ ⓵

$\:\:$

Where ,

$\:\:$

• V = Volume of cube

• s = Side of cube

$\:\:$

$\underline{ \underline{\bold{\texttt{Volume of gift :}}}}$

$\:\:$

It is given that the volume of gift is 3375 cu. cm and we assumed its side to be 'z'

$\:\:$

• V = 3375 cu. cm.

• s = z

$\:\:$

⟮ Putting the above values in ⓵ ⟯

$\:\:$

: ➜ V = s³

$\:\:$

: ➜ 3375 = z³

$\:\:$

: ➜ $\sf \sqrt [3]{3375} = z$

$\:\:$

: : ➨ z = 15 cm

$\:\:$

• Hence all sides of the gift are of length 15 cm

$\:\:$

∴ The gift was 15 cm high , 15 cm long , 15 cm broad