Question

the cube in the image has a volume of 1,000 feet. The other solid has the same base and height as the cube, but the length of each of its slanted sides is 2 units longer than the height. what is the volume of the tilted solid?

Answer 1

1,000

Explanation:

The base and height didn't change, therefore the volume didn't change. It's the same shape just slanted, it takes up the same amount of space.

Answer 2

The answer is 1000 cubic feet either. The reason for that is fallowing:Imagine you cut cube 2 peaces so that your cut is normal to bases and it passes throught both bases. If you take those 2 pieces and switch their position and stick one to another you will get non tilted original cube.
what you can conclude from this is that tilting doesnt influence volume if bases and height remain the same.