three sides of cube

Question

500cm3=

 

 

800cm3=

Answer 1

If it is a cube, then its volume V=a³, where a is the side of a cube.

 

Thus, a=³√V; 

In your case; a=³√500≈8 cm

 

For the second case,

a=³√800≈9 cm

 

Answer 2

Sherry:

 

I'm not sure what the question is.  I assume it is to determine the length of each side of the cube with the volume shown.

 

So for a given Volume of 500 cm³, each side would have a length of the cube root of 500 cm³ or 500^1/3 cm³.

 

This can be simplified, through factoring:  500^1/3 = (2*2*5*5*5)^1/3 = (5*4^1/3) cm is the length of each side (read as 5 times the cube root of 4)

 

 

 

Similarly, for 800 cm³, each side would have a length of

800^1/3 = (2*2*2*2*2*5*5)^1/3 = 2*100^1/3 cm (read as 2 times the cube root of 100).

 

Hope this helps!

 

George T.

Answer 3

In this question you have been given the volume and seek the side lengths. It is as simple as a cube root! The answers here may be written concisely as 500cm3^(1/3) and 800cm3^(1/3). That is about 7.9cm and 9.3cm as the actual side lengths.

XX