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 $h$ = $l \times b \times h$