Pregunta
The vault shown is in the shape of a cube. If each side is
feet, find its volume.
Ask by Chen Long. in the United States
Jan 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The volume of the cube is
cubic feet.
Solución

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Como
The Deep Dive
To find the volume of a cube, you use the formula
, where
is the length of a side of the cube. In this case, each side is
feet.
Calculating the volume:
So, the volume of the vault is
cubic feet.
Now let’s talk about the significance of volumetric calculations and practical contexts where such shapes appear!
Cubical objects, like vaults, can be found in architecture and design. Understanding their volume is essential, especially when it comes to planning storage or ensuring the structural integrity of a building. For example, knowledge of volume helps determine how much air or heat a space can contain, important for climate control in large buildings.
Another fun fact is that similar calculations are not limited to cubes! In real-world applications, volume calculations extend to various shapes, including cylinders and spheres. Mistakes often occur when mixing up formulas (like using surface area instead of volume), so a tip is to always double-check the shape and the corresponding formula you’re using. Remember, a little mistake in the formula can lead to a big difference when it comes to actual volume calculations!

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