Volume, area formulas of 2-d and 3-d shapes.

Here you can find all the formulas related to VOLUME , SURFACE AREA, of 2-d and 3-d shapes.

-CIRCLE-

1). Area of Circle of radius '\(r\)' = \(\pi r^2\)

2). Perimeter of Circle of radius '\(r\)' = \(2\pi r\)

 -RECTANGLE-

3). Area of a rectangle of length \(l\) and breadth \(b\) = \( l \times b\)

4). Perimeter of rectangle of length \(l\) and breadth \(b\) = 2(\(l +b)\)

-SQUARE-

5). Area of a Square of each side '\(a\)' = \(a^2\)

6). Perimeter of a Square of each side '\(a\)' = \(4a\).

-TRIANGLE-

7). Area of  a triangle with height '\(h\)' and base '\(b\)' =   \(\ \frac{h \times b}{2}\)

8). Perimeter of a triangle with sides \(a\), \(b\) and \(c\)  =  \(a +b+c \)

 

9). Heron's formula - 

 Area of a triangle  whose sides have lengths \(a\), \(b\) and \(c\)   is  \(A=\sqrt{s(s-a)(s-b)(s-c)}\) where \(s\) is the semi-perimeter of the triangle; that is,\(s=\frac{a+b+c}{2}\)

 -RIGHT CIRCULAR CYLINDER-

10). Curved surface area of a right circular cylinder of base radius \(r\) and height \(h\) = \(2 \pi  r h\)

11). Total surface area of a right circular cylinder of base radius \(r\) and height \(h\) = \(2 \pi  r (h+r)\)

12). Volume of a right circular cylinder of base radius \(r\) and height \(h\) = \( \pi  r^2 h\)

  -RIGHT CIRCULR CONE-

 

13). Curved surface area of a right circular cone of base radius \(r\) and slant height \(l\) = \( \pi  r l\)

14). Total surface area of a right circular cone of base radius \(r\) and slant height \(l\) = \( \pi  r (r+l)\)

15). Volume  of a right circular cone of base radius \(r\) and  height \(h\) = \(\frac{1}{3}  \pi  r^2 h\)

NOTE*- if two of them (like \(h\) and \(r\)) is given you can find third one (\(l\)) by using this formula

\[l^2=h^2+r^2\]

    -SPHERE-

16).  Surface are of Sphere of radius \(r\)= \(4 \pi r^2\)

17). Volume   of Sphere of radius \(r\)= \(\frac{4}{3} \pi r^3\)

    -SEMI-SPHERE

19). Curved -surface area of a semi-sphere of radius \(r\)  = \(2 \pi r^2\)

20).   Total  area of a semi-sphere of radius \(r\) = \(3\pi r^2\)

21).  Volume of a semi-sphere of radius \(r\) = \(\frac{2}{3} \pi r^3\)

    -CUBE-

22). Total surface area of a cube of each side \(a\) = \(6a^2\)

23). Volume  of a cube of each side \(a\) = \(a^3\)

  -CUBOID-

24). Total surface area of cuboid of length \(l\), breadth \(b\) and height \(h\) = \(2( l b +bh+hl)\)

25). Area of four walls = \(2(l+b) \times h\)

26). Volume  of cuboid of length \(l\), breadth \(b\) and height \(h\) = \( l \times b \times h \)