Imagine a hollow concrete sphere, submerged deep in the ocean.
It will have a certain resistance to crushing force dependent on the formula and thickness of the concrete.
Now put the sphere in a cube-shaped mold (such that the sphere just touches the sides of the mold) and fill the mold with additional concrete. (Assume for the sake of argument that the new concrete is identical to the original concrete in composition, and bonds seamlessly--no cold joints, etc.)
Once you remove the mold, you'll have cube with a spherical hollow inside.
1. Is the crush-resistance of the cube [identical, higher, lower] than the original sphere?
2. If you answer is [identical, higher], is there any possible shape of the mold that would create an object with a crush resistance lower than the original sphere?
It will have a certain resistance to crushing force dependent on the formula and thickness of the concrete.
Now put the sphere in a cube-shaped mold (such that the sphere just touches the sides of the mold) and fill the mold with additional concrete. (Assume for the sake of argument that the new concrete is identical to the original concrete in composition, and bonds seamlessly--no cold joints, etc.)
Once you remove the mold, you'll have cube with a spherical hollow inside.
1. Is the crush-resistance of the cube [identical, higher, lower] than the original sphere?
2. If you answer is [identical, higher], is there any possible shape of the mold that would create an object with a crush resistance lower than the original sphere?