Exploring Solids Vocabulary:










 





 Naming Solids:

.AME ˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆ ND.AME ˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆ $ATE ˆˆˆˆˆˆˆˆˆˆˆˆ *À>V̈ViÊ
CK *À>V̈ViÊ
 ,%33/.

,%33/.



$ATE ˆˆˆˆˆˆˆˆˆˆˆˆ

&OR USE WITH PAGES n

&OR USE WITH PAGES n

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1ÃiÊ̅iÊ`ˆ>}À>“Ê>ÌÊ̅iÊÀˆ}…Ì°

Example 1: Ê £° 'IVE THE MATHEMATICAL NAME OF THE SOLID   'IVE THE MATHEMATICAL NAME THE SOLID of the _______________ _________________. Check your answer  Find the number ofOFfaces, vertices and edges  Ê Ó° 7HAT KIND OF lGURE IS EACH BASE 
with 7HAT KINDEuler’s OF lGUREtheorem. IS EACH BASE


RTICES Ê £° Ê Ó°

Ê Î° 7HAT KIND OF lGURE IS EACH LATERAL FACE





Ê {° (OW MANY LATERAL FACES DOES THE SOLID HAVE

Ê {° (OW MANY LATERAL FACES DOES THE SOLID HAVE

Ê x° .AME THREE LATERAL EDGES

Ê x° .AME THREE LATERAL EDGES







OREM 1ÃiÊ̅iÊ`ˆ>}À>“Ê>ÌÊ̅iÊÀˆ}…Ì°



  OF lGURE IS EACH LATERAL FACE Ê Î° 7HAT KIND













1ÃiÊ̅iÊ`ˆ>}À>“Ê>ÌÊ̅iÊÀˆ}…Ì°

Ê È° 'IVE THE MATHEMATICAL NAME OF THE SOLID

Ê È° 'IVE THE MATHEMATICAL NAME OF THE SOLID

Ê Ç° 7HAT KIND OF lGURE IS EACH BASE

Ê Ç° 7HAT KIND OF lGURE IS EACH BASE











Ê n° .AME THE RADIUS OF THE SOLID Surface Area of Prisms and Cylinders

Ê n° .AME THE RADIUS OF THE SOLID



 OF THE SOLID Ê ™° .AME THE HEIGHT

Ê ™° .AME THE HEIGHT OF THE SOLID

Warm – up: Tell whether the solid is a polyhedron. If it is, name the polyhedron and find the number of faces, vertices and edges. >“iÊ̅iÊ܏ˆ`Ê̅>ÌÊV>˜ÊLiÊvœÀ“i`ÊLÞÊ̅iʘiÌ° >“iÊ̅iÊ܏ˆ`Ê̅>ÌÊV>˜ÊLiÊvœÀ“i`ÊLÞÊ̅iʘiÌ° 1. 2. 3. 4. 5. ££°

£Ó°

 --" Ê£Ó°Ó

ERSECTION OF THE

£Ó°

£ä°

ˆ˜`Ê̅iÊÃÕÀv>ViÊ>Ài>ʜvÊ̅iÊÀˆ}…ÌÊ«ÀˆÃ“°Ê,œÕ˜`ÊޜÕÀÊ>˜ÃÜiÀÊ̜ÊÌÜœÊ ˆ˜`Ê̅iÊÃÕÀv>ViÊ>Ài>ʜvÊ̅iÊÀˆ}…ÌÊ«ÀˆÃ“°Ê,œÕ˜`ÊޜÕÀÊ>˜ÃÜiÀÊ̜ÊÌÜœÊ `iVˆ“>Ê«>Við `iVˆ“>Ê«>Við ʣΰ £{° £x° ʣΰ £{° £x° 









 









 


£Ç°

ʣȰ

£n° 


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1

£n°

IGHT ¥ BY -C$OUGAL ,ITTELL A DIVISION OF (OUGHTON -IFmIN #OMPANY

££°

PYRIGHT ¥ BY -C$OUGAL ,ITTELL A DIVISION OF (OUGHTON -IFmIN #OMPANY

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Vocabulary:

Example 2: Find the surface area of the ______________________ ________________________.

Example 3: Find the surface area of the ______________________ ________________________.

Example 4: Find the surface area of the ______________________.

2

Surface Area of Pyramids, Cones and Spheres

Example 5: Find the surface area of a: (a) _______________________

(b) _______________________

(c) _______________________

(e) _______________________

(f) _______________________

$ATE ˆˆˆˆˆˆˆˆˆˆˆˆ

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(d) _______________________ >ÀÊ«ÞÀ>“ˆ`°Ê,œÕ˜`ÊޜÕÀÊ Î°







 


,œÕ˜`ÊޜÕÀÊ>˜ÃÜiÀÊ̜ÊÌÜœÊ È°










3

Surface Area of Composite Shapes Example 6: Find the surface area of the composite shape. (a)

(b)

(c)

Volume of Prisms & Cylinders Example 7: Find the volume of the solid: (a) _______________________

(b) _______________________

(c) _______________________

4

Volume of Pyramids, Cones and Spheres Example 8: Find the volume of the solid: (a) _______________________

(b) _______________________

(d) _______________________

(e) _______________________

(c) _______________________

5

Volume of Composite Shapes Example 9: Find the volume of the solid: (a) (b)

(c)

6