Question

If the area of the base of a cube is 100m, whats the volume

Answer 1

Answer:

1000 m³

Step-by-step explanation:

The base of a cube is just a square.

The area of a square is $l^2$, where l is the length.

Since we know the area of the base (the square) we can find l easily.

$l^2 = 100\\\\l = \sqrt{100}\\\\l=10$

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 $l^3$, where l is the length, we can substitute 10 in as $l$ to find it's total volume.

$10^3 = 1000$

So the volume of this cube is 1000 m³.

Hope this helped!