Mensuration is a branch of mathematics that deals with the measurement of areas and volumes of various geometrical figures. Figures such as cubes, cuboids, cylinders, cones and spheres have volume and area. Mensuration deals with the development of formulas to measure their areas and volumes.Know More
The area of a cube is obtained using the formula A = 4 x length squared. The volume of a cube is obtained using the formula V = length cubed.
The area of a cuboid is obtained using the formula A = 2 [lb + lh + bh] where l is the length, b is the breadth and h is the height of the cuboid. The volume of the cuboid is arrived at using the formula V = length x breadth x height.
The curved surface area of a right circular cylinder can be obtained using A = 2πrh where h is the height of the cylinder and r is the radius of the base of the cylinder. The total surface area of the cylinder is obtained using A = 2πr [h+r], and the volume is arrived at using V = πr2h.
A cone has a curved surface area called the lateral surface area. The volume of a cone is one-third the volume of a cylinder with the same height and radius of the base.
Area is expressed in square units, while volume is expressed in cubic units.Learn more about Geometry
Parallel lines are important in mathematics because they are at the base of several conjectures involving angles in geometry. Drawing a line, called a transversal, through a pair of parallel lines forms three different types of angles that have known mathematical properties.Full Answer >
The Regents Examination in geometry is one exam of the mathematics portion of the standardized examinations New York State uses to test high school students before graduation. The other mathematics exams are Integrated Algebra, Algebra I and Algebra II and Trigonometry.Full Answer >
An intersection in mathematics usually refers to the point where two lines cross each other on a plot, but can also refer to shared numbers in data sets. It is possible for more than two lines to meet at an intersection, and it is also possible for a line to have more than one distinct intersection.Full Answer >
In mathematics, write indirect proofs by first assuming the opposite of the statement to be proven to be true. Then, try to prove the opposite of one of the given facts based on that assumption. Rather than directly proving something to be false, indirect proofs work by proving that something cannot be true, therefore, it must be false.Full Answer >