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I've got a cube and I want to transform it into the object shown in this picture: enter image description here

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I'd do it backwards:

enter image description here

  • Create a circle
  • Use Box Select to delete the lower half of the circle
  • Select all of them and extrude upward
  • Flatten the upper half with SY0RETURN (might be another axis for you)
  • (alternatively just extrude the side verts, select everything and fill the whole thing with F)
  • Extrude the entire shape to give it depth.

There's another way of doing this....

Take a cube and give it more resolution. Either with a Loop Cut or by subdividing the lower edges.

enter image description here

Then use the Proportial Editing Tool, set the falloff to spherical, select the middle edge and move the mouse up, restricting it to one axis. Doesn't always give a perfect circle though. More like an ellipse.

Luckily there's another way of doing this...

Again use a cube that has enough resolution at the bottom, put a cylinder under it (use one with enough verts, 1024 segments are fine) and use a Cast Modifier on the Cube. Apply the modifier and get rid of the cylinder.

enter image description here

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There are many ways to do this, but this is what came to mind:

Use the Loop Cut and Slide tool to split the cube vertically. Move the middle bottom edge up to the center of the cube (this would be exactly 1 unit in the Z axis if your using the default cube). Use the Bevel tool on the same selected edge to get the concave bottom (amount set to 2, segments to taste).

enter image description here

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  • $\begingroup$ Another, maybe better way (nicer topology & all quads) would be to use multiple loop cuts, hide everything but the button faces and use proportional editing to move the bottom faces in the concave shape $\endgroup$ – bstnhnsl Nov 2 '18 at 18:53
  • $\begingroup$ I actually suggested that, too. Problem with that is that you don't get a truly spherical result unless you go full half circle. It gets kinda ellipsy $\endgroup$ – Haunt_House Nov 2 '18 at 19:09
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You could also use the boolean modifier using a cilinder to help you out, select the cube, then the cilinder, open the modifiers tab, click boolean and follow the gif: enter image description here

enter image description here

You have to select difference on the tab, and then hide the cilinder (select it and press H)

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