it is blog about mathematics in particular,but about education in general.eduation has vast sprectrum.it covers whole issues.
Thursday, December 07, 2006
QUESTION FOR NET
Area
1..The area of a figure measures the size of the region enclosed by the figure. This is usually expressed in terms of some square unit. A few examples of the units used are square meters, square centimeters, square inches, or square kilometers.
2..Area of a Square
If L is the side-length of a square, the area of the square is L*2 or L × L.
3..Area of a Rectangle
The area of a rectangle is the product of its width and length.
4.Area of a Parallelogram
The area of a parallelogram is b × h, where b is the length of the base of the parallelogram, and h is the corresponding height. To picture this, consider the parallelogram below:
5..
Area of a Trapezoid
If a and b are the lengths of the two parallel bases of a trapezoid, and h is its height, the area of the trapezoid is
1/2 × h × (a + b) .
6...Consider a triangle with base length b and height h.
The area of the triangle is 1/2 × b × h.
7...
Space Figure
A space figure or three-dimensional figure is a figure that has depth in addition to width and height. Some common simple space figures include cubes, spheres, cylinders, prisms, cones, and pyramids. A space figure having all flat faces is called a polyhedron. A cube and a pyramid are both polyhedrons; a sphere, cylinder, and cone are not.
8..
Volume
Volume is a measure of how much space a space figure takes up. Volume is used to measure a space figure just as area is used to measure a plane figure. The volume of a cube is the cube of the length of one of its sides. The volume of a box is the product of its length, width, and height.
9..Surface Area
The surface area of a space figure is the total area of all the faces of the figure
10...Cube
A cube is a three-dimensional figure having six matching square sides. If L is the length of one of its sides, the volume of the cube is L3 = L × L × L. A cube has six square-shaped sides. The surface area of a cube is six times the area of one of these sides.
11..A cylinder is a space figure having two congruent circular bases that are parallel. If L is the length of a cylinder, and r is the radius of one of the bases of a cylinder, then the volume of the cylinder is L × pi × r*2, and the surface area is 2 × r × pi × L + 2 × pi × r*2.
12...
Sphere
A sphere is a space figure having all of its points the same distance from its center. The distance from the center to the surface of the sphere is called its radius. Any cross-section of a sphere is a circle.
If r is the radius of a sphere, the volume V of the sphere is given by the formula V = 4/3 × pi ×r*3.
The surface area S of the sphere is given by the formula S = 4 × pi ×r*2.
13..
Cone
A cone is a space figure having a circular base and a single vertex.
If r is the radius of the circular base, and h is the height of the cone, then the volume of the cone is 1/3 × pi × r2 × h.
14..Pyramid
A pyramid is a space figure with a square base and 4 triangle-shaped sides.
15..Tetrahedron
A tetrahedron is a 4-sided space figure. Each face of a tetrahedron is a triangle.
16..
Prism
A prism is a space figure with two congruent, parallel bases that are polygons.
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