Question

The volume of a cubical box is 884736 m3. Find the length of each side of the

box. ​

Answer 1

Answer:

The length of the side of the cube is  

9

c

m

.

Explanation:

The formula for volume of a cube is:

V

=

a

3

, where  

V

=

volume, and  

a

=

length of any side, all sides being equal in a cube.

With the given data, we write:

729

=

a

3

To determine the cube root of  

729

, we separate the factors.

3

⋅

3

⋅

3

⋅

3

⋅

3

⋅

3

=

a

3

( 3 ⋅ 3 ) 3

= a3  

3 ⋅ 3

= a

∴ a

= 9

Answer 2

Step-by-step explanation:

$volume \: of \: cube = (side) {}^{3} \\ 884736 = (side) {}^{3} \\ side = 884736 {}^{ \frac{1}{3} }$

$side = 96$