Friends, today i am going to teach you one of the interesting topic of mathematics, formulas for measurements . In grade VII we study about some geometrical figures like - line, Triangle, circle etc , but in grade VIII of maharashtra board we study, what kind of formulas are we use to measure these geometrical elements and learn formulas for measurements which is a very important part of online tutoring . Here measurement means finding distance , area and volume of geometric figures and so we divide measurement of geometrical figures in three units –
1 ) if there is two points P( x1 , y1 ) and Q(x2 ,y2) in a plane , then formula to measuring distance between these two points PQ is –
sqrt ((x2 – x1 )2 + ( y2 – y1 )2 )
here sqrt means square root
2) if there is two points P( x1 , y1 , z1 ) and Q(x2 ,y2 , z2 ) in a space , then formula to measuring distance between these two points PQ is –
sqrt ((x2 – x1 )2 + ( y2 – y1 )2 + (z2 - z1 )2 )
here sqrt means square root and to know more about measurements click here,
Then we further proceed to discuss measuring area of geometrical figures :
2. Area of square = a2
here a refers to one side of square
3. Area of rectangle = a* b
here a refers to length of rectangle and b refers to width of rectangle
4. Area of parallelogram = b * h
here b refers to one side length and h refers to width between two sides
5. Area of circle = pi * r2
here pi = 3.14 and r refers to radius of circle
6. Area of eclipse = pi * r1 * r2
here pi = 3.14 and r1 and r2 are two side radius of eclipse
7. Area of sphere = 4 * pi * r2
here pi = 3.14 and r refers to radius of sphere
These are standard area formulas which use to measure area of geometric figures and we further proceed to discuss formula of measuring volume of geometrical figures –
2. Volume of Cuboid = a * b * c
here a shows length , b shows width and c shows height
3. Volume of cylinder = pi * r2 * h
here pi = 3.14 , r refers to radius of cylinder and h refers to height of cylinder
4. Volume of pyramid = 1 * b * h
3
here b refers to width of pyramid and h refers to height of pyramid
5. Volume of sphere = 4 * pi * r2 * h
3
here pi = 3.14 , r refers to radius of sphere and h refers to height of sphere
These are standard formulas for measuring volume of geometrical figures and You can also refer Grade IX blog for further reading on Basic constructions.Read more maths topics of different grades such as Range in Grade VIII in the next session here.
- measuring distance
- measuring area of geometrical figures
- measuring volume of geometrical figures
1 ) if there is two points P( x1 , y1 ) and Q(x2 ,y2) in a plane , then formula to measuring distance between these two points PQ is –
sqrt ((x2 – x1 )2 + ( y2 – y1 )2 )
here sqrt means square root
2) if there is two points P( x1 , y1 , z1 ) and Q(x2 ,y2 , z2 ) in a space , then formula to measuring distance between these two points PQ is –
sqrt ((x2 – x1 )2 + ( y2 – y1 )2 + (z2 - z1 )2 )
here sqrt means square root and to know more about measurements click here,
Then we further proceed to discuss measuring area of geometrical figures :
-
Area of triangle = 1 * b * h
2
2. Area of square = a2
here a refers to one side of square
3. Area of rectangle = a* b
here a refers to length of rectangle and b refers to width of rectangle
4. Area of parallelogram = b * h
here b refers to one side length and h refers to width between two sides
5. Area of circle = pi * r2
here pi = 3.14 and r refers to radius of circle
6. Area of eclipse = pi * r1 * r2
here pi = 3.14 and r1 and r2 are two side radius of eclipse
7. Area of sphere = 4 * pi * r2
here pi = 3.14 and r refers to radius of sphere
These are standard area formulas which use to measure area of geometric figures and we further proceed to discuss formula of measuring volume of geometrical figures –
- Volume of cube = a3
2. Volume of Cuboid = a * b * c
here a shows length , b shows width and c shows height
3. Volume of cylinder = pi * r2 * h
here pi = 3.14 , r refers to radius of cylinder and h refers to height of cylinder
4. Volume of pyramid = 1 * b * h
3
here b refers to width of pyramid and h refers to height of pyramid
5. Volume of sphere = 4 * pi * r2 * h
3
here pi = 3.14 , r refers to radius of sphere and h refers to height of sphere
These are standard formulas for measuring volume of geometrical figures and You can also refer Grade IX blog for further reading on Basic constructions.Read more maths topics of different grades such as Range in Grade VIII in the next session here.
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