Question

A cube of wood supporting 200 g mass just floats in water. When the mass is removed , the cube rises by 1cm, the linear dimension of the cube is

Answer 1

Answer:

10cm

Explanation:

let x be the side of the cube

dw= density of water

do= density of wood

g=gravity

200(g)+(x^3)×do×g=(x^3)×dw×g

(x^3)do=(x^3)dw-200 ======>1

(x^3)do=(x-2)(x^2)dw ======>2

combining 1&2

(x^3)dw-200=(x-2)(x^2)dw

(x^3)-200 =((x^3)-(2x^2))

-200=-2x^2

100=x^2

√100=x

10=x

hope i helped