Everything Maths Grade 10

5.If the length of each side of a triangular prism is quadrupled, what will the volume of the new triangular

prism be?

H

b

h

6.Given a prism with a volume of 493 cm^3 and a surface area of 6007 cm^2 , find the new surface area and

volume for a prism if all dimensions are increased by a constant factor of 4.

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1.2GT8 2.2GT9 3.2GTB 4a.2GTC 4b.2GTD 5.2GTF 6.2GTG

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13.5 Chapter summary EMA7V

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• Area is the two dimensional space inside the boundary of a flat object. It is measured in square units.


• Area formulae:
  
  
  • square:s^2
  
  
  • rectangle:bh
  
  
  • triangle:^12 bh
  
  
  • trapezium:^12 (a+b)h
  
  
  • parallelogram:bh
  
  
  • circle:r^2
  
  
  
  


• A right prism is a geometric solid that has a polygon as its base and vertical sides perpendicular to the
  base. The base and top surface are the same shape and size. It is called a “right” prism because the
  angles between the base and sides are right angles.


• A triangular prism has a triangle as its base, a rectangular prism has a rectangle as its base, and a cube is
  a rectangular prism with all its sides of equal length. A cylinder is another type of right prism which has
  a circle as its base.


• Surface area is the total area of the exposed or outer surfaces of a prism.


• A net is the unfolded “plan” of a solid.


• Volume is the three dimensional space occupied by an object, or the contents of an object. It is measured
  in cubic units.


• Volume formulae for prisms and cylinders:
  
  
  • Volume of a rectangular prism:lbh
  
  
  • Volume of a triangular prism:
  
  
  
  

( 1

2 bh

)

H

• Volume of a square prism or cube:s^3


• Volume of a cylinder:r^2 h

456 13.5. Chapter summary