Answer:
Step-by-step explanation:
N=0,8,16,24,...; because when n=8k
![(k\in \mathbb{N})](https://tex.z-dn.net/?f=%28k%5Cin%20%5Cmathbb%7BN%7D%29)
then n/8 is natural number.
So the smallest value of n is 0.
Answer:
<u>It</u><u> </u><u>is</u><u> </u><u>c</u><u>:</u><u> </u><u>1</u><u>5</u><u>.</u><u>6</u><u>2</u><u>5</u><u> </u><u>cm³</u>
Step-by-step explanation:
Formular for cube volumes:
![{ \tt{volume = (side \times side \times side)}} \\ { \tt{v = (s_{1} \times s_{2} \times s_{3}) }}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bvolume%20%3D%20%28side%20%5Ctimes%20side%20%5Ctimes%20side%29%7D%7D%20%5C%5C%20%7B%20%5Ctt%7Bv%20%3D%20%28s_%7B1%7D%20%5Ctimes%20s_%7B2%7D%20%5Ctimes%20s_%7B3%7D%29%20%7D%7D)
since sides of a cube are identical:
![{ \sf{s_{1} = {s_{2} = {s_{3}}}}}](https://tex.z-dn.net/?f=%7B%20%5Csf%7Bs_%7B1%7D%20%3D%20%7Bs_%7B2%7D%20%3D%20%20%7Bs_%7B3%7D%7D%7D%7D%7D)
Therefore:
![{ \sf{volume = (250 \times 250 \times 250) \: mm {}^{3} }} \\ { \sf{v =15,625,000 \: {mm}^{3} }}](https://tex.z-dn.net/?f=%7B%20%5Csf%7Bvolume%20%3D%20%28250%20%5Ctimes%20250%20%5Ctimes%20250%29%20%5C%3A%20mm%20%7B%7D%5E%7B3%7D%20%7D%7D%20%5C%5C%20%20%7B%20%5Csf%7Bv%20%3D15%2C625%2C000%20%5C%3A%20%20%7Bmm%7D%5E%7B3%7D%20%20%7D%7D)
but 1 mm³ = 0.000001 cm³
![{ \sf{v = (15,625,000 \times \{1 \times {10}^{ - 6} \} ) \: cm}} \\ { \sf{v = 15.625 \: {cm}^{3} }}](https://tex.z-dn.net/?f=%7B%20%5Csf%7Bv%20%3D%20%2815%2C625%2C000%20%5Ctimes%20%20%5C%7B1%20%5Ctimes%20%20%7B10%7D%5E%7B%20-%206%7D%20%5C%7D%20%29%20%5C%3A%20cm%7D%7D%20%5C%5C%20%7B%20%5Csf%7Bv%20%3D%2015.625%20%5C%3A%20%20%7Bcm%7D%5E%7B3%7D%20%7D%7D)