Finding Areas and Volumes - Approximation methods.
Main page.
To find areas or volumes of irregular shapes, we often rely on using methods which provide an approximate value to our problem.
Generally the approximation is sufficient for our needs.
There are two contexts in which these methods are applied:
1. Where we just take measurements of 2D or 3D shapes without being concerned about their mathematical properties.
2. Where we estimate areas or volumes with recognition that we have a curve whose equation is known.
Such a situation is common in calculus-related problems.
The methodology is very similar across both contexts.
| Context. | Learning area. | Resource. |
| Standard Maths courses (S). | ||
| Trapezoidal Rule. | ||
| Trapezoidal Rule (S) - Test Yourself 1. |
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| Trapezoidal Rule (S) - Test Yourself 1. |
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| Calculus related courses (C). | ||
| Trapezoidal Rule. | ||
| Trapezoidal Rule (C) - Test Yourself 1. |
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| Trapezoidal Rule (C) - Test Yourself 1 - Solutions. |
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