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While I searching for the answer to this question, I totally confused. Atlast I reach in one thing that we may compute some volume integrals by using double integral but to evaluate a triple integral we should go through all the three integrals.
For example, by calculating the surface of a circle, using an integral.
First we have to evaluate the inner integral using ILATE method and then evaluate the outer integral
mass (on a triple-beam balance) volume (water displacement, calculate it with a ruler) density (mass/volume) color transparency state of matter
To find its volume you can find its mass using a triple beam balance and it's density with a graduated cylinder and use the formula v=m/d
Finding the volume of many odd shapes is only possible with integral calculus. Google " volume of revolution. "
Using every-day definitions, it has one face and no edges. However, the answer will be different using topological definitions used for the Euler characteristic.
Do a line integral.
For mass, you would use a triple-beam balance. For volume, you would either use a graduated cylinder (for liquids), calculate the displacement with a graduated cylinder (for an odd-shaped solid), or calculate it using the equation for volume (for a regularly-shaped solid).
The integral of ln(x2) is 2x[ln(x) - 1] + C Do this using the method of integration by parts.
It is a way to approximate a definite integral using trapezoids.
IF you knew the volume of the block and the density of the material it was made of you could calculate it mass (mass = density * volume) but it is normal to measure the mass of something using a mass balance.