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

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Answer:

Step-by-step explanation:

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Cube exerts a force of 7 newton.

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

Formula for pressure = [tex]\frac{Force}{Area}[/tex]

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

[tex]700=\frac{7}{area}[/tex]

So, area = [tex]\frac{7}{700}=\frac{1}{100}[/tex]

Hence the surface area of side of cube is [tex]\frac{1}{100}[/tex]

Suppose the side of cube is a, then

[tex]a^2=\frac{1}{100}[/tex]

Taking square root on both sides

a=[tex]\frac{1}{10}=0.1[/tex]

Hence the side of cube is 0.1 m

So. volume of cube will be = [tex]a^3=0.1^3=0.001[/tex]

mass=[tex]density*volume[/tex]

Plugging the value of density and volume

mass=[tex]720*0.001=0.72[/tex] kg

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

Hope it will help :)

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