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# three sides of cube

500cm3=

800cm3=

### 3 Answers by Expert Tutors

Kirill Z. | Physics, math tutor with great knowledge and teaching skillsPhysics, math tutor with great knowledge...
4.9 4.9 (174 lesson ratings) (174)
2
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

George T. | George T.--"It's All About Math!"George T.--"It's All About Math!"
1
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 5001/3 cm3.

This can be simplified, through factoring:  5001/3 = (2*2*5*5*5)1/3 = (5*41/3) 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
8001/3 = (2*2*2*2*2*5*5)1/3 = 2*1001/3 cm (read as 2 times the cube root of 100).

Hope this helps!

George T.
Elias H. | Patient and Knowledgeable Liberal Arts Math TutorPatient and Knowledgeable Liberal Arts M...
4.7 4.7 (25 lesson ratings) (25)
1
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.
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