Question

a solid floats with 1/4 of its volume above the surface of water calculate the density of the solid

Answer 1

the density of solid that floats 1/4 of its volume
= actually floatation depends on two factor
1.weight of liquid diplaced
2. density

but this solid you stated in floatation !!
this implies that density of solid =water density
density of solid=1g/cm^3

if you stated 1/4 ....it may be affected by weight of liquid diplaced !

hope this helps you !!!

Answer 2

Volume of solid = V

Volume of water displaced = 3V/4

Weight of solid = Buoyant Force

mg = F

Vd’g = (3V/4)dg

d’ = 3d/4

d’ = (3 × 1 g/cm³) / 4

d’ = 0.75 g/cm³

Density of solid is 0.75 g/cm³