This document provides formulas for calculating the surface areas and volumes of rectangles, cuboids, cubes, cylinders, and circles. It states that the surface area of a cuboid is 2(lb + bh + hl) and its volume is LBH, where L is length, B is breadth, and H is height. The surface area of a cube is 6a2 and its volume is a3, where a is the length of an edge. The curved surface area of a cylinder is 2πrh and its total surface area is 2πr(r+h), where r is the radius and h is the height.

1. SURFACE
AREA
&
VOLUME
BY :- Piyush Mishra

2. 2

3. Area Of Rectangle= LxB
Rectangle

4. A bundle of many sheets of paper in shape
of a rectangle makes up a cuboid.
We have used six rectangular pieces to
cover the complete outer surface of the
cuboid.
THEREFORE……..
Area of 4 rectangles = 2(lxb) + 2(bxh)
Curved Surface area = 2h(b+l)
Area of 6 rectangles = 2(lxb) + 2(bxh) + 2(lxh)
Total Surface area of a cuboid = 2 (lb + bh + hl)
CUBOIDS

5. Volume = Area of rectangle x height
= LB x H
=LBH
CUBOIDS

6. FORMULAE RELATED
WITH CUBOIDS
Curved Surface Area - 2h(b+l)
Total Surface Area - 2(lb + bh +lh)
Volume - LBH
L = LENGTH
B= BREADTH
H = HEIGHT

7. Area Of Square = Side x Side
= Side 2
= a2
SQUARE

8. CUBE

9. A cuboid, whose length, breadth and
height are all equal, it is called a Cube. If
each edge of the cube is a, then the
surface area of this cube would be:
Curved Surface Area of cube = 4a²
Total Surface area of a cube =6a²
CUBES

10. FORMULAE RELATED
WITH CUBES
Curved Surface Area - 4a2
Total Surface Area – 6a2
Volume - a3
a= side

11. Circumference= 2 ‫ח‬r
Area= ‫ח‬r2
CIRCLE

12. Take a number of
circular sheets of paper
and stack them up, if the
stack is kept vertically
up, we get a Right
circular cylinder, since it
has been kept at right
angles to the base, and
the base is circular.
CYLINDERS

13. So,
curved surface of the cylinder
= perimeter of the base of the
cylinder x h
= 2 ‫ח‬r x h
Therefore……….
Curved surface area of a cylinder = 2‫ח‬rh.
CYLINDERS

14. FORMULAE RELATED
WITH CYLINDERS
Curved Surface Area - 2πrh
Total Surface Area - 2πr (r+h)
Volume - πr2 h
r= Radius
h= Height