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Geometry 
Formulas: 
Surface Area 
& Volume 
Page 2


Geometry 
Formulas: 
Surface Area 
& Volume 
A formula is just a set of instructions.  
It tells you exactly what to do!   
All you have to do is look at the 
picture and identify the parts. 
Substitute numbers for the variables 
and do the math.  That’s it!  ? 
 
Page 3


Geometry 
Formulas: 
Surface Area 
& Volume 
A formula is just a set of instructions.  
It tells you exactly what to do!   
All you have to do is look at the 
picture and identify the parts. 
Substitute numbers for the variables 
and do the math.  That’s it!  ? 
 
Let’s start in the beginning… 
Before you can do surface area or volume, 
you have to know the following formulas.   
Rectangle  A = lw 
Triangle  A = ½ bh 
Circle   A = p r² 
    C = pd 
Page 4


Geometry 
Formulas: 
Surface Area 
& Volume 
A formula is just a set of instructions.  
It tells you exactly what to do!   
All you have to do is look at the 
picture and identify the parts. 
Substitute numbers for the variables 
and do the math.  That’s it!  ? 
 
Let’s start in the beginning… 
Before you can do surface area or volume, 
you have to know the following formulas.   
Rectangle  A = lw 
Triangle  A = ½ bh 
Circle   A = p r² 
    C = pd 
You can tell the 
base and height 
of a triangle by 
finding the  
right angle: 
TRIANGLES 
Page 5


Geometry 
Formulas: 
Surface Area 
& Volume 
A formula is just a set of instructions.  
It tells you exactly what to do!   
All you have to do is look at the 
picture and identify the parts. 
Substitute numbers for the variables 
and do the math.  That’s it!  ? 
 
Let’s start in the beginning… 
Before you can do surface area or volume, 
you have to know the following formulas.   
Rectangle  A = lw 
Triangle  A = ½ bh 
Circle   A = p r² 
    C = pd 
You can tell the 
base and height 
of a triangle by 
finding the  
right angle: 
TRIANGLES 
CIRCLES 
You must know the difference 
between RADIUS and DIAMETER. 
           r  
                     d 
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FAQs on Surface Area & Volumes - PPT, Class 10 Mathematics

1. What is the difference between surface area and volume?
Ans. Surface Area is the measurement of the total area that the surface of a 3D object occupies. Volume, on the other hand, is the measurement of how much space an object occupies in 3D.
2. What is the formula for calculating the surface area of a cube?
Ans. The formula for calculating the surface area of a cube is 6a², where 'a' represents the length of one of its edges.
3. How is the volume of a cylinder calculated?
Ans. The volume of a cylinder can be calculated using the formula V = πr²h, where 'r' represents the radius of the circular base and 'h' represents the height of the cylinder.
4. What is the difference between a cone and a pyramid?
Ans. A cone has a circular base and a pointed top, while a pyramid has a polygonal base and a pointed top. Additionally, a cone has a curved surface while a pyramid has a flat surface.
5. How is the surface area of a sphere calculated?
Ans. The surface area of a sphere can be calculated using the formula 4πr², where 'r' represents the radius of the sphere.
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