Learning Resources LER 7630 manual Hexagonal Prism a H, Cylinder a H, Square Pyramid

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Hexagonal Prism A H

Volumehexagonal prism = x

Identify the variables:

A = Area of the hexagonal base H = Height of the prism

Explain that the area for a hexagon is calculated as follows:

A = w x 3/2 s

Identify the variables:

w = Width of hexagon as shown s = Length of side

Cylinder A H

Volumecylinder = x

= (π r2) x H

H

w s

r

H

Pyramid

Introduce the general formula for finding the volume of a pyramid:

Volumepyramid = 1/3 A x H

Ask students to identify the difference between this general formula and the

one for the prism. (There is one more variable: 1/3.) If students remember a

volume formula for a prism, it is easy to remember the volume formula for a

pyramid with the same-size base and height: simply multiply by 1/3. You can

demonstrate this concept by pouring

 

 

 

H

three filled pyramids into the

 

 

 

corresponding prism in the Power

 

 

 

 

 

s

Solid set.

 

s

Square Pyramid

A x H

 

 

 

 

 

 

 

Volumesquare pyramid = 1/3

 

 

 

 

= 1/3

(s x s) x H

 

 

 

 

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Contents Activity Guide Power Solids Volume Table Introduction Getting Started With Power SolidsPower Solids Introducing Volume Square Prism a H Volume FormulasPrism Rectangular Prism a HSquare Pyramid Hexagonal Prism a HCylinder a H PyramidTriangular Pyramid = 1/3 Cone = 1/3 VolumeconeSphere