Formulas for surface area and volume, as the names suggest, are useful for calculating the surface area and volume of solids, but they can also be used to find missing measurements.
Finding a missing measurement in a solid consists of determining an unknown dimension of a solid given the total surface area, the area of the bases, the lateral area, or the volume.
Use a structured approach in order to implement the algebraic methods for solving equations. Essentially, finding a missing measurement is where the world of geometry and algebra collide!
The context of the situation helps us determine whether to isolate a missing measure with an area or volume formula. In this section’s concept sheets, a variety of examples cover practically all the possible cases of solids:
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simple solids (cube, prism, pyramid, cone, sphere/ball, cylinder) and more complex solids (decomposable and truncated solids);
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first or second degree equations;
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cases using other mathematical tools such as the Pythagorean theorem or factoring methods.
Being able to isolate a variable from a geometric formula or any other equation is one of the main skills that a student must master to excel in mathematics, science, and related subjects. Therefore, it’s worth it to practice a lot to become very comfortable with these skills.
Pour valider ta compréhension à propos des mesures manquantes dans les solides de façon interactive, consulte la MiniRécup suivante :
