CK-12 Geometry-Concepts

(Marvins-Underground-K-12) #1

11.8. Composite Solids http://www.ck12.org


Vprism= ( 48 )( 48 )( 18 ) = 41472 cm^3

Vpyramid=

1


3


( 482 )( 7 ) = 5376 cm^3

The total volume is 41472+ 5376 = 46 , 848 cm^3.



  1. Use what you know about prisms.


Vprism=B·h
Vprism= ( 4 · 4 )· 5
Vprism= 80 in^3


  1. Use what you know about pyramids.


Vpyramid=

1


3


B·h

Vpyramid=

1


3


( 4 · 4 )( 6 )


Vpyramid= 32 in^3

Now find the total volume by finding the sum of the volumes of each solid.


Vtotal=Vprism+Vpyramid
Vtotal= 112 in^3

Explore More


Find the volume of the composite solids below. Round your answers to the nearest hundredth.



  1. The bases are squares. Find the volume of the green part.


2.

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