Question

a solid wooden cube is placed on a table. the cube exerts a force of 7 newtons on the table. the pressure on the table is 700 newtons/m2 given that density of the wood is 720 kg/m3 find the mass of the cube

Answer 1

Explanation:

Alright, lets get started.

Cube exerts a force of 7 newton.

The pressure on the table due to cube is 700 newtons per square meter.

Formula for pressure =
`(Force)/(Area)`

Plugging the value of pressure and force, we could find the ara, this is surface area of cube which is in contact with table.

`700=(7)/(area)`

So, area =
`(7)/(700)=(1)/(100)`

Hence the surface area of side of cube is
`(1)/(100)`

Suppose the side of cube is a, then

`a^2=(1)/(100)`

Taking square root on both sides

a=
`(1)/(10)=0.1`

Hence the side of cube is 0.1 m

So. volume of cube will be =
`a^3=0.1^3=0.001`

mass=
`density*volume`

Plugging the value of density and volume

mass=
`720*0.001=0.72` kg

Hence the mass of the cube is 0.72 kg. : Answer

Hope it will help :)