Question

Volume of a cubic box is 13824 cm3 . Find length of one side of this box (solve by prime factorisation method​

Answer 1

Answer:

<b>Volume Of The Cube=13824cubiccm<b>

As we know,

Volume of cube = a^3 , where a is the measure of each side of cube.

a^3 = 13824 cubic cm

a = \sqrt[3]{13824}

3

13824

cm

\underline\bold{a = 24\:cm}

a=24cm

Since,

Question asks us to tell the measure of each side in metres so we will convert centimetres to metres.

1 cm = 1/100 m

24 cm = 24/100 m

24 cm = 0.24 m

Step-by-step explanation:

hope it's help you ☺️☺️

Answer 2

GIVEN :-

• Volume of a cubic box is 13824 cm3 .

TO FIND :-

Find length of one side of this box

SOLUTION :-

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

¦FORMULAE :-ㅤㅤㅤㅤㅤ|

¦Volume of Cube = a^3ㅤ |

️➡ a^3 = 13824

➡a= 3√13824

➡a= 24

${\boxed{a=24}}$