Please help. A cube has sides of length √5. I need to find the area of one side of the cube. Find the volume of the cube. find the length of the diagonal of the sides.

Question

anonymous · Answer

area is radical 5 times radical 5

anonymous · Answer

the volume is $$\left( \sqrt{5} \right)^{3}$$

anonymous · Answer

and to find the diagonal line you have to use the pythagorean theorem

anonymous · Answer

that diagonal line is the hypoteneus and the radical 5's are the two sides thus that...

anonymous · Answer

How would I find the distance from A to B in a figure they show in the textbook?

anonymous · Answer

the diagonal line?

anonymous · Answer

yes, it is a digagonal line from one corner to the other corner

anonymous · Answer

since its a cube...we can assume that one side of the cube is a perfect 2 dimentional square...so each side is  $$\sqrt{5}$$

anonymous · Answer

you notice that each side of the square of one side of the cube is measured the same thus all the sides are radical 5

anonymous · Answer

use the pythagorum theorem to find what the diagonal line's length is

anonymous · Answer

you are trying to find $$c ^{2};           \in the formula a ^{2}+b ^{2}=c ^{2}$$

anonymous · Answer

you have a^2 and b^2 already

anonymous · Answer

How do I do that when there are no numbers provided. It is just A to B.

anonymous · Answer

well it tells you in the problem that the side of the square is 
$$\sqrt{5}$$

anonymous · Answer

this applies to all the side so the cube

anonymous · Answer

So to figure it out I would use √5²+√5²=c²

anonymous · Answer

yes

anonymous · Answer

Thank you very much. Hopefully I can figure this out.

anonymous · Answer

i wish you the best of luck :)