Question

list all the formulas of area perimeter and volume of square rectangle triangle trapezium rhombus cube cuboid circle cylinder

Answer 1

VOLUME OF CUBE = A³

CSA OF CUBE = 4A²

TSA OF CUBE = 6A²

CYLINDER:-

VOLUME OF CYLINDER = πR²H

CSA OF CYLINDER = 2πRH

TSA OF CYLINDER = 2πR(R+H)

CUBOID:-

VOLUME OF CUBOID = L×B×H

CSA OF CUBOID = 2(L+B)×H

TSA OF CUBOID = 2(LB+BH+HL).

RECTANGLE:-

AREA OF RECTANGLE = L×B.

PERIMETER OF RECTANGLE = 2(L+B).

SQUARE:-

AREA OF SQUARE = (SIDE)².

PERIMETER OF SQUARE = 4×SIDE

Answer 2

What is perimeter?

The continuous line forming the boundary of a closed geometrical figure.

What is area?

The extent or measurement of a surface or piece of land.

AREA AND PERIMETER OF SQUARE

Area of square = a²   

Perimeter of square = 4a

here "a" stands for side length of square.

Examples problems on area of square

Examples problems on perimeter of square

Next we are going to see a formula for the next shape rectangle of the topic "area and perimeter formula for all shapes"

AREA AND PERIMETER OF RECTANGLE

Area of rectangle = L x W

Perimeter of rectangle = 2(l + w)

Here L and w represents length and width of rectangle.

Examples problems on area of rectangle

Examples of perimeter of rectangle

Next we are going to see a formula related to equilateral triangle of the topic area and perimeter formula for all shapes

AREA AND PERIMETER OF EQUILATERAL TRIANGLE

Area of Equilateral triangle = (√3/4) a²

Perimeter of Equilateral triangle = 3a

Here "a" represents side length of triangle.

Example problems on equilateral triangle

Next we are going to see a formula related to scalane  triangle of the topic area and perimeter formula for all shapes

AREA AND PERIMETER OF SCALANE TRIANGLE

Area of scalene triangle = √s(s-a)(s-b)(s-c)

Perimeter of scalene triangle = a + b +  c

here "s = (a + b + c)/2"

Example problems on scalene triangle

Next we are going to see a formula related to quadrilateral of the topic area and perimeter formula for all shapes

AREA AND PERIMETER OF QUADRILATERAL

Area of quadrilateral =(1/2) x d x (h₁+h₂)

Perimeter of quadrilateral = Sum of all four sides

Example problems of area of quadrilateral

Next we are going to see  formula related to parallelogram  of the topic area and perimeter formula for all shapes

AREA AND PERIMETER OF PARALLELOGRAM

Area of parallelogram = b x h

Perimeter of quadrilateral = Sum of all four sides

Example problems of area of parallelogram

Example problems of perimeter of parallelogram

AREA AND PERIMETER OF RHOMBUS

Area of rhombus =(1/2) x (d₁ x d₂)



AREA AND PERIMETER OF TRAPEZIUM

Area of trapezoid =(1/2) (a + b) x h



AREA AND CICUMFERENCE OF CIRCLE

Area of circle = Π r ²

Circumference of circle = 2 Π r







AREA AND VOLUME OF CUBE

Curved surface area of cube = 4a²

Total surface area = 6a²

Volume of cube = a³

AREA AND VOLUME OF CUBOID

Curved surface area of cube = 2h (L + b)

Total surface area = 2(Lb + bh + hL)

Volume of cuboid = L x b x h 


AREA AND VOLUME OF CYLINDER

Curved surface area = 2 Π r h

Total surface area = 2 Π r (h + r)

Volume = Π r² h

r-radius , h - height



AREA AND VOLUME OF HOLLOW CYLINDER

Curved surface area= 2Π h (R+r)

Total surface area =  2 Π (R + r) (R - r + h)

Volume = Π h (R² - r²)