V=a^3V=a
3
Zatem:
\begin{gathered}a)\ a=10^3\ [m]\\V=a^3\\V=(10^3)^3=10^{3\cdot3}=10^9\ [m^3]\\\\b)\ a=10^4\ [m]\\V=(10^4)^3=10^{4\cdot3}=10^{12}\ [m^3]\\\\c)\ a=10^6\ [m]\\V=(10^6)^3=10^{6\cdot 3}=10^{18}\ [m^3]\\\\d)\ a=10^{12}\ [m]\\V=(10^{12})^3=10^{12\cdot3}=10^{36}\ [m^3]\end{gathered}
a) a=10
3
[m]
V=a
3
V=(10
3
)
3
=10
3⋅3
=10
9
[m
3
]
b) a=10
4
[m]
V=(10
4
)
3
=10
4⋅3
=10
12
[m
3
]
c) a=10
6
[m]
V=(10
6
)
3
=10
6⋅3
=10
18
[m
3
]
d) a=10
12
[m]
V=(10
12
)
3
=10
12⋅3
=10
36
[m
3
]