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A list of true or false math problems for exam preparation in math 213. Topics include perimeter and area of triangles and squares, diagonal relationships, volume comparisons, and more.
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Math 213 T/F Practice Problems for Exam 2
True & False : Determine if each of the following is true or false. In each case, explain your answer in detail or correct the question if it is false. For both true and for false answers, try to create / find a similar question from class notes / texts to practice the stated (or corrected) techniques or ideas.
The volume of a cylinder is 3 times the volume of a cone with the same base and height.
If the height of a triangle doubles, then its perimeter increases by a factor of 4
If the height of a cylinder doubles, then the volume of the cylinder increases by a factor of 8.
If the surface area of two cylinders is the same, then the cylinders have the same volume.
If the length of the diagonal of a square is doubled, then the edge lengths are doubled.
A cube of with side length 10cm would fit inside of a sphere with diameter 10cm.
If the surface area of two spheres is the same, then the volume of the spheres must be the same.
If the edges of a cube all double, then the volume of the cube increases by a factor of 8.
If the height of a cone doubles, and the base remains the same, the volume of the cone doubles.
To compute the area of a regular n-gon, divide the n-gon into n equilateral triangles, find the area of the equilateral triangle and multiply that area by n.
Answers 1. F