Demonstrated in writing on example problems by using ratios to determine if two solids are similar. EXAMPLE 3. Example 5: The pyramids are similar. Py...
12.7 EXPLORE SIMILAR SOLIDS ESSENTIAL QUESTION: HOW CAN WE TELL IF TWO SOLIDS ARE SIMILAR? D E M O N S T R AT E D I N W R I T I N G O N E X A M P L E P R O B L E M S B Y U S I N G R AT I O S T O D E T E R M I N E IF TWO SOLIDS ARE SIMILAR.
SIMILAR SOLIDS THEOREM: If two similar solids have a scale factor of a:b, then corresponding areas have a ratio of ๐2 : ๐ 2 and corresponding volumes have a ratio of ๐3 : ๐ 3 . b a
b
a aaa
If ๐ =
๐ ๐
b
, ๐กโ๐๐ ๐๐๐๐ =
๐2 ๐2
๐๐๐ ๐ฃ๐๐๐ข๐๐ =
๐3 ๐3
Essential Question: How can we tell if two solids are similar? Demonstrated in writing on example problems by using ratios to determine if two solids are similar.
Example 1: Tell whether the pair of right solids is similar. Explain your reasoning. GUIDED PRACTICE
Essential Question: How can we tell if two solids are similar? Demonstrated in writing on example problems by using ratios to determine if two solids are similar.
Example 2: Tell whether the pair of right solids is similar. Explain your reasoning. GUIDED PRACTICE
Essential Question: How can we tell if two solids are similar? Demonstrated in writing on example problems by using ratios to determine if two solids are similar.
Example 3: Tell whether the given right rectangular prism is EXAMPLE 1 (b). similar to (a) or a.
b.
Essential Question: How can we tell if two solids are similar? Demonstrated in writing on example problems by using ratios to determine if two solids are similar.
Example 4: The cans shown are similar with a scale factor of 87:100. Find the surface area and volume of the larger can.
Essential Question: How can we tell if two solids are similar? Demonstrated in writing on example problems by using ratios to determine if two solids are similar.
Example 5: The pyramids are similar. Pyramid P has a volume3of 1000 cubic inches and Pyramid Q EXAMPLE has a volume of 216 cubic inches. Find the scale factor of Pyramid Q to Pyramid P.
Essential Question: How can we tell if two solids are similar? Demonstrated in writing on example problems by using ratios to determine if two solids are similar.
Example 6: A store sells balls of yarn in two different sizes. The diameter of the EXAMPLE 4 larger ball is twice the diameter of the smaller ball. If the balls of yarn cost $7.50 and $1.50, respectively, which ball of yarn is the better buy?
Essential Question: How can we tell if two solids are similar? Demonstrated in writing on example problems by using ratios to determine if two solids are similar.
HOMEWORK: WORKBOOK PAGE 244 #1-14 ALL
Essential Question: How can we tell if two solids are similar? Demonstrated in writing on example problems by using ratios to determine if two solids are similar.
