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7th Grade Surface Area and Volume

In geometry, surface area and volume are the quantitative measures of various 3D shapes or objects. Surface area of any 3D shape represents the area it occupies. Whereas the volume is the measure of the capacity of any 3D object or space occupied by it. 

The surface area and volume formulas are used to measure any shape’s surface area in square units and the volume in cubic units. 

worksheets
Worksheets (6)
practices
Practice tests (6)
quizzes
Quizzes (5)
unittests
Unit test (1)

Important points of the Surface Area And Volume

 

  • There are two types of 3D shapes, one with only flat surfaces and other one with curved surfaces. 
  • Surface area of shapes with curved surface is sum of its curved surface area and flat surface area. 
  • The curved surface area is also known as lateral surface area (LSA). 
  • The sum of curved surface area and flat surface area is called total surface area (TSA). 


 

  • For example, TSA of a cylinder = 2 π r(r+h) and LSA = 2πrh.
  •  Volume of Cylinder = π r2 h. Where r is the radius of its circular base and h is its height. 


 

Surface Area and Volume examples

 

  1. Find the Surface area of a cubical box having dimensions 4 cm, 2 cm and 5 cm. 

Let length = 4, breadth = 2, and height = 5.

Surface Area of Cuboid = 2(lb + bh + hl) = 2(4*2 + 2*5 + 5*4) = 2(8+10+20) = 2(38) = 76 sq. cm. 



 

  1. Calculate the volume of a cylindrical pipe with base radii 2 m and height 10 m.

Radius of base = 2 m

Height of cylinder = 10 m

Let π = 3.14

Volume of Cylinder = πr2h = 3.14 * (2)2 * 10 = 3.14 * 4 * 10 = 125.6 cu. Meter. 




 

Teachers are looking for lessons, activities, worksheets, quiz, mock test papers that are suitable for 7th grade math.

Here's your compilation of lessons suitable for 7th grade to share with your students.


 

Surface Area & Volume Worksheets


 

Surface Area & Volume Practice Problems


 

Surface Area & Volume Quiz


 

Surface Area & Volume Unit Test


 


 

 

 

 

 

 

 

 

 

 

 

 

Sum up 

 

Measuring volume and surface area grade 7 is an important concept of geometry. They are basic mathematical concepts that students must understand in detail. 


 

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