PPT: Surface Area & Volumes

 Page 1


MATHS NCERT
CHAPTER- 13
SURFACE AREA AND 
VOLUME
CLASS- IX
Page 2


MATHS NCERT
CHAPTER- 13
SURFACE AREA AND 
VOLUME
CLASS- IX
CUBE
A
A
A
A CUBE IS A SYMMETRICAL THREE-
DIMENSIONAL SHAPE, EITHER SOLID OR 
HOLLOW, CONTAINED BY SIX EQUAL 
SQUARES.
Page 3


MATHS NCERT
CHAPTER- 13
SURFACE AREA AND 
VOLUME
CLASS- IX
CUBE
A
A
A
A CUBE IS A SYMMETRICAL THREE-
DIMENSIONAL SHAPE, EITHER SOLID OR 
HOLLOW, CONTAINED BY SIX EQUAL 
SQUARES.
LOOKING AT THE CUBE TEMPLATE, IT IS EASY TO SEE THAT 
THE CUBE HAS SIX SIDES AND EACH SIDE IS A SQUARE
THE AREA OF ONE SQUARE IS A × A = A
2
SINCE THERE ARE SIX SIDES, THE TOTAL SURFACE AREA IS-
SA = A
2
+ A
2
+ A
2
+ A
2
+ A
2
+ A
2
SA = 6 × A
2
Page 4


MATHS NCERT
CHAPTER- 13
SURFACE AREA AND 
VOLUME
CLASS- IX
CUBE
A
A
A
A CUBE IS A SYMMETRICAL THREE-
DIMENSIONAL SHAPE, EITHER SOLID OR 
HOLLOW, CONTAINED BY SIX EQUAL 
SQUARES.
LOOKING AT THE CUBE TEMPLATE, IT IS EASY TO SEE THAT 
THE CUBE HAS SIX SIDES AND EACH SIDE IS A SQUARE
THE AREA OF ONE SQUARE IS A × A = A
2
SINCE THERE ARE SIX SIDES, THE TOTAL SURFACE AREA IS-
SA = A
2
+ A
2
+ A
2
+ A
2
+ A
2
+ A
2
SA = 6 × A
2
THE VOLUME OF A CUBE IS MEASURED BY MULTIPLYING THE 
LENGTH, WIDTH AND HEIGHT OF THE CUBE.
THE FORMULA FOR THE VOLUME OF A CUBE = 
LENGTH × WIDTH × HEIGHT.
IN A CUBE, THE LENGTH, WIDTH, AND HEIGHT ARE ALL SAME.
EQUATION FOR VOLUME OF A CUBE, V = S
VOLUME OF A CUBE = S CUBIC UNITS
WHERE, 'S' IS THE LENGTH OF ANY EDGE OF THE CUBE.
3
3
VOLUME
Page 5


MATHS NCERT
CHAPTER- 13
SURFACE AREA AND 
VOLUME
CLASS- IX
CUBE
A
A
A
A CUBE IS A SYMMETRICAL THREE-
DIMENSIONAL SHAPE, EITHER SOLID OR 
HOLLOW, CONTAINED BY SIX EQUAL 
SQUARES.
LOOKING AT THE CUBE TEMPLATE, IT IS EASY TO SEE THAT 
THE CUBE HAS SIX SIDES AND EACH SIDE IS A SQUARE
THE AREA OF ONE SQUARE IS A × A = A
2
SINCE THERE ARE SIX SIDES, THE TOTAL SURFACE AREA IS-
SA = A
2
+ A
2
+ A
2
+ A
2
+ A
2
+ A
2
SA = 6 × A
2
THE VOLUME OF A CUBE IS MEASURED BY MULTIPLYING THE 
LENGTH, WIDTH AND HEIGHT OF THE CUBE.
THE FORMULA FOR THE VOLUME OF A CUBE = 
LENGTH × WIDTH × HEIGHT.
IN A CUBE, THE LENGTH, WIDTH, AND HEIGHT ARE ALL SAME.
EQUATION FOR VOLUME OF A CUBE, V = S
VOLUME OF A CUBE = S CUBIC UNITS
WHERE, 'S' IS THE LENGTH OF ANY EDGE OF THE CUBE.
3
3
VOLUME
CUBOID
A CUBOID IS A BOX-SHAPED SOLID OBJECT. 
IT HAS SIX FLAT SIDES AND ALL ANGLES 
ARE RIGHT ANGLES.
AND ALL OF ITS FACES ARE RECTANGLES.