Question

Algebraically solve for the volume of the cube in terms of the force probe reading in air (Fa), the force probe reading in water (Fw), the density of water (pw) and g

Answer 1

F_a = force probe reading in air

F_w = force probe reading in water

F_b = force of buoyancy

force of buoyancy is given as

F_b = F_w - F_a

V = Volume of the cube

$\rho _{w}$ = density of water

g = acceleration due to gravity

force of buoyancy is given as

F_b = $\rho _{w}$ V g

(F_w - F_a ) = $\rho _{w}$ V g

V = (F_w - F_a ) /( $\rho _{w}$ g )