It looks like you are using SpriteBatch to draw some text, so you might have to reinstate the render states below before drawing your cubes.
GraphicsDevice.RenderState.DepthBufferEnable = true;
GraphicsDevice.RenderState.AlphaBlendEnable = false;
GraphicsDevice.RenderState.AlphaTestEnable = false;
Depending on your 3D content, you may also want to set:
GraphicsDevice.SamplerStates[0].AddressU = TextureAddressMode.Wrap;
GraphicsDevice.SamplerStates[0].AddressV = TextureAddressMode.Wrap;
See
here for full explanation.