find the area of an unusual shape
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Question:If you have a regular Dodecahedron, which is a platonic solid with 12 pentagons all put together, almost a soccer ball looking, and you want to find the SURFACE area, could you use the formula for the area of a pentagon ( since it's a two dimensional figure) and multiply it by twelve to get the surface area?
Yes, that method would work for surface area.
I hope that helps!! :-)
Question:my math teacher is making us make this dumbass robot out of geometric shapes and these shapes are 3D. she wants us to find the perimeter and surface area for a all these 3D shapes but wouldn't that just be the surface area?
Answers:You'd want the total length of the all edges, I guess.
E.g.: With a cube 1 ft x 1 ft x 1 ft, the edges would add up to 12 ft.
Hope you're not using spheres. :)
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Question:Find any geometric shape that has the same number for its area and perimeter. That is, other than a square (which the only one that works is 4x4), equilateral triangle (only one that works is 4 root 3), and circle (only one that works is radius=2).
Answers:We could try a regular hexagon (regular meaning all interior angles are equal and all edges are equal).
According to Wikipedia:
A = [3 (3)/2] t
And we can easily find the perimeter:
P = 6t
Equate the two equations:
[3 (3)/2] t = 6t
Subtract 6t from both sides:
[3 (3)/2] t - 6t = 0
Factor out t:
t [[3 (3)/2]t - 6] = 0
So [3 (3)/2]t - 6 = 0
[3 (3)/2]t = 6
t = 12/(3 (3))
t = 4/ (3)
Thus, a regular hexagon with edge length 4/ (3) has a perimeter equal to its area.
Area of Irregular Shapes :This video illustrates how to find the area of an irregular shape by breaking it down into familiar regular shapes, as required by high school geometry courses. For more instructional videos, as well as exercise and answer sheets, go to: freemathtutoring.googlepages.com
Geometry Tips : How to Find the Area of Geometric Shapes :Finding the area of geometric shapes requires being familiar with their respective formulas, as each type of shape involves different methods and equations. Determine the area of various geometric shapes with instructions from a college-level math teacher in this free video on geometry. Expert: Jimmy Chang Bio: Jimmy Chang has been a math teacher at St. Pete College for nearly a decade. He has a master's degree in math, and his specialties include calculus, algebra, liberal arts, math and trigonometry. Filmmaker: Christopher Rokosz