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Circumference, Area,
Surface Area, and Volume
By Taylor Winter
Derive the Formula:
Volume of a Prism/Cylinder
Example Problems
1. A right triangular prism has a base triangle with sides 3 cm and 4 cm. The height of the prism is 7 cm. What is the volume of the right triangular prism?
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Volume of a prism= B x h
B= area of a triangle= (3cm x 4cm)/2= 6cm^2
h= 7 cm
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6cm^2 x 7 cm= 42 cm^3
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The volume of the prism is 42 cm^3.
The volume of a prism/cylinder is the area of the base x the height of the shape.
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Area of the base is represented as capitol B where as base is represented as lower case b.
2. A right cylinder has a radius of 4 cm. The slant height of the cylinder is 6 cm. What is the volume of the right cylinder?
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Volume of a cylinder= B x h
B= B= area of a triangle= (b x h)/2
b= circumference= 2πr= 2 x π x 4 cm= 8πcm
h= 6 cm
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(8πcm x 6 cm)/2= 48πcm^2/2= 24πcm^2
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24πcm^2 x 6 cm= 144πcm^3
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The volume of the cylinder is 144πcm^3.
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