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.
Continue ReadingThe 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 = πr^{2}h.
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 GeometryGeometry is essential for applied mathematics, and it is used in architecture and engineering fields. Its development was crucial in the development of modern mathematics. It can also make abstract mathematical concepts more clear.
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 >In mathematics, vertical angles are always congruent. Vertical angles are the angles positioned opposite from each other when two lines intersect. They are called vertical because the angles share the same vertex, or corner point, not because they run vertically on a page.
Full Answer >Geometry is defined as the area of mathematics dealing with points, lines, shapes and space. Geometry is important because the world is made up of different shapes and spaces. It is broken into plane geometry, flat shapes like lines, circles and triangles, and solid geometry, solid shapes like spheres and cubes.
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