Geometry Problems with Solutions and Answers for Grade 12
Geometry Word Problems (page 1 of 6) Sections: Introduction, Basic examples, Triangle formulas, Complex examples, The Box Problem & the Goat Problem, Max / Min problems In order to solve geometric word problems, you will need to have memorized some geometric formulas for at least the basic shapes (circles, squares, right triangles, etc). You will usually need to figure out from the word problem which formula to use, and many times you will need more than one formula for one exercise. So make sure you have memorized any formulas that are used in the homework, because you may be expected to know them on the test. Some problems are just straightforward applications of basic geometric formulae.
Note: Unless you are told to use one of the approximations for pi, or are told to round to some number of decimal places (from having used the "pi" button on your calculator), you are generally supposed to keep your answer in "exact" form, as shown above. If you're not sure if you should use the "pi" form or the decimal form, use both: "6pi cm, or about 18.85 cm".
Most geometry word problems are a bit more involved than the example above. For most exercises, you will be given at least two pieces of information, such as a statement about a square's perimeter and then a question about its area. To find the solution, you will need to know the equations related to the various pieces of information; you will then probably solve one of the equations for a useful bit of new information, and then plug the result into another of the equations. In other words, geometry word problems often aren't simple onestep exercises like the one shown above. But if you take all the information that you've been given, write down any applicable formulas, try to find ways to relate the various pieces, and see where this leads, then you'll almost always end up with a valid answer.
(The common abbreviation for "cubic centimeters" is "cc's", as you've no doubt heard on medical TV dramas, and one cc is equal in volume to one milliliter. So all three versions of the answer above are equivalent.) Copyright © Elizabeth Stapel 20002011 All Rights Reserved I know that radius r is half of the length of the diameter d, so: 49pi = (pi)r2 Then the radius r has a length of 7 units, and: the length of the diameter is 14 units Warning: You can not assume that you will always be given all the geometric formulae on your tests. At some point, you will need to know at least some of them "by heart". The basic formulae you should know include the formulae for the area and perimeter (or circumference) of squares, rectangles, triangles, and circles; and the surface areas and volumes of cubes, rectangular solids, spheres, and cylinders. Depending on the class, you may also need to know the formulae for cones and pyramids. If you're not sure what your instructor expects, ask now. Top  1  2  3  4  5  6  Return to Index Next >>

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