The image above represents Flexural strength with relation to volume.

To compute for flexural strength with relation to volume, three essential parameters are needed and these parameters are **Initial Stress (σ _{o}), Constant (n)** and

**Volume fraction porosity (P).**

The formula for calculating flexural strength with relation to volume:

σ_{fs} = σ_{o }exp (-nP)

Where:

σ_{fs} = Flexural Strength

σ_{o} = Initial Stress

n = Constant

P = Volume Fraction Porosity

Let’s solve an example;

Find the flexural strength when the initial stress is 11, the constant is 8 and the volume fraction porosity is 22.

This implies that;

σ_{o} = Initial Stress = 11

n = Constant = 8

P = Volume Fraction Porosity = 22

σ_{fs} = σ_{o }exp (-nP)

σ_{fr} = (11)exp(-(8)(22))

σ_{fr} = (11)exp(-176)

σ_{fr} = (11)(3.665e-77)

σ_{fr} = 4.032e-76

Therefore, the **flexural strength **is **4.032e-76 Pa.**

**Calculating the Initial Stress when the Flexural Strength, the Constant and the Volume Fraction Porosity is Given.**

σ_{o} = ^{σfr} / _{exp (-nP)}

Where;

σ_{o} = Initial Stress

σ_{fs} = Flexural Strength

n = Constant

P = Volume Fraction Porosity

Let’s solve an example;

Find the initial stress when the flexural strength is 20, the constant is 10 and the volume fraction porosity is 8.

This implies that;

σ_{fs} = Flexural Strength = 20

n = Constant = 10

P = Volume Fraction Porosity = 8

σ_{o} = ^{σfr} / _{exp (-nP)}

σ_{o} = ^{20} / _{exp (-10 x 8)}

σ_{o} = ^{20} / _{exp (-80)}

σ_{o} = ^{20} / _{– 5.54e+34}

σ_{o} = – 3.61e-34

Therefore, the **initial stress **is **3.61e-34.**