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Surface Area & Volumes Class 10 PPT

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 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.
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FAQs on Surface Area & Volumes Class 10 PPT

1. What is the formula for finding the surface area of a cube?
Ans. The formula for finding the surface area of a cube is 6a^2, where "a" represents the length of one side of the cube.
2. How do you find the surface area of a cylinder?
Ans. To find the surface area of a cylinder, you need to add the areas of the curved surface and the two circular bases. The formula is 2πrh + 2πr^2, where "r" represents the radius of the base and "h" represents the height of the cylinder.
3. How can I calculate the volume of a cone?
Ans. The formula for finding the volume of a cone is (1/3)πr^2h, where "r" represents the radius of the base and "h" represents the height of the cone.
4. What is the formula for finding the surface area of a sphere?
Ans. The formula for finding the surface area of a sphere is 4πr^2, where "r" represents the radius of the sphere.
5. How do you find the volume of a rectangular prism?
Ans. To find the volume of a rectangular prism, you need to multiply the length, width, and height of the prism. The formula is lwh, where "l" represents the length, "w" represents the width, and "h" represents the height of the prism.
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