Answer:
The shelter can contain 512 cubic meters of water.
Explanation:
This question can be translated to:
"The manager of the drinking water service in my town creates a water tank in the highlands so that the water can reach the entire town. The cube-shaped shelter is 8 meters long. If the shelter is full, how many liters of water can it contain?"
As you can observe, the volumetric form is a cube with 8 meters long each edge.
We know the volume of a cube is defined as
![V=l^(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/8m3ozpv73qr6azih9po7xeda867a83r2dq.png)
Where
, replacing this value, we have
![V=(8 \ m)^(3) \\V=512 \ m^(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/lxmsbu5gnufl6v7r5xuxdor19t8gp85773.png)
Therefore, the shelter can contain 512 cubic meters of water.