A beaker of water resting on a scale registers a weight of 0.61 N. Lowering a steel cube completely into the water (without making any contact with the beaker) causes the reading on the scale to increase to 0.69 N. The steel cube has density $7800 ~kg/m^3$ is replaced with a wooden block with exactly the same dimensions, but a density of only $850 ~kg/m3.$ I need help understanding why the scale still shows 0.69 N.
I thought the weight would be between 0.61 N and 0.69 N because you replace the steel cube with something of the same volume but less dense, and I understand this will have a mass less than that of the cube since $$m=\rho\times v$$. A decrease in mass should cause the scale reading to be lowered. Why is it not so here?