Answer:
1000 m³
Step-by-step explanation:
The base of a cube is just a square.
The area of a square is [tex]l^2[/tex], where l is the length.
Since we know the area of the base (the square) we can find l easily.
[tex]l^2 = 100\\\\l = \sqrt{100}\\\\l=10[/tex]
Now that we know the length of the sides, we have to take note that a cube has side lengths that are all congruent.
This means the height of the cube is also 10m.
Since the volume of a cube is represented as [tex]l^3[/tex], where l is the length, we can substitute 10 in as [tex]l[/tex] to find it's total volume.
[tex]10^3 = 1000[/tex]
So the volume of this cube is 1000 m³.
Hope this helped!