WarmUp 2 Exercises EXAMPLE Use the scale factor

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Warm-Up 2 Exercises EXAMPLE Use the scale factor of similar solids Packaging The cans

Warm-Up 2 Exercises EXAMPLE Use the scale factor of similar solids Packaging The cans shown are similar with a scale factor of 87: 100. Find the surface area and volume of the larger can.

Warm-Up 2 Exercises EXAMPLE Use the scale factor of similar solids SOLUTION Use the

Warm-Up 2 Exercises EXAMPLE Use the scale factor of similar solids SOLUTION Use the Similar Solids Theorem to write and solve two proportions. Surface area of I a 2 = b 2 Surface area of II Volume of I 51. 84 Surface area of II 873 28. 27 = Volume of II 1003 872 = 1002 Volume of II = a 3 b 3

Warm-Up 2 Exercises EXAMPLE Use the scale factor of similar solids Surface area of

Warm-Up 2 Exercises EXAMPLE Use the scale factor of similar solids Surface area of II ≈ 68. 49 Volume of II ≈ 42. 93 ANSWER The surface area of the larger can is about 68. 49 square inches, and the volume of the larger can is about 42. 93 cubic inches.

Warm-Up 3 Exercises EXAMPLE Find the scale factor The pyramids are similar. Pyramid P

Warm-Up 3 Exercises EXAMPLE Find the scale factor The pyramids are similar. Pyramid P has a volume of 1000 cubic inches and Pyramid Q has a volume of 216 cubic inches. Find the scale factor of Pyramid P to Pyramid Q.

Warm-Up 3 Exercises EXAMPLE Find the scale factor SOLUTION Use the Similar Solids Theorem

Warm-Up 3 Exercises EXAMPLE Find the scale factor SOLUTION Use the Similar Solids Theorem to find the ratio of the two volumes. a 3 1000 Write ratio of volumes. = b 3 216 a b = = 10 6 5 3 Find cube roots. Simplify. ANSWER The scale factor of Pyramid P to Pyramid Q is 5: 3.

Warm-Up 4 Exercises EXAMPLE Checking Solutions of a Linear Inequality Consumer Economics A store

Warm-Up 4 Exercises EXAMPLE Checking Solutions of a Linear Inequality Consumer Economics A store sells balls of yarn in two different sizes. The diameter of the 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? STEP 1 Compute the ratio of volumes using the diameters. Volume of large ball 23 = 13 Volume of small ball 8 , or 8 : 1 = 1

Warm-Up 4 Exercises EXAMPLE Checking Solutions of a Linear Inequality STEP 2 Find the

Warm-Up 4 Exercises EXAMPLE Checking Solutions of a Linear Inequality STEP 2 Find the ratio of costs. Price of large ball $ 7. 50 5 , or 5: 1 = $ 1. 50 = 1 Volume of small ball

Warm-Up 4 Exercises EXAMPLE Checking Solutions of a Linear Inequality STEP 3 Compare: the

Warm-Up 4 Exercises EXAMPLE Checking Solutions of a Linear Inequality STEP 3 Compare: the ratios in Steps 1 and 2. If the ratios were the same, neither ball would be a better buy. Comparing the smaller ball to the larger one, the price increase is less than the volume increase. So, you get more yarn for your dollar if you buy the larger ball of yarn. ANSWER The larger ball of yarn is the better buy.

Warm-Up Exercises GUIDED PRACTICE 3. for Examples 2, 3, and 4 Cube C has

Warm-Up Exercises GUIDED PRACTICE 3. for Examples 2, 3, and 4 Cube C has a surface area of 54 square units and Cube D has a surface area of 150 square units. Find the scale factor of C to D. Find the edge length of C, and use the scale factor to find the volume of D. ANSWER Scale factor is 3 : 5; Edge length is 3 units; Volume of D = 125 square units

Daily Homework Quiz for Examples 2, 3, and 4 Warm-Up Exercises 1. Two triangular

Daily Homework Quiz for Examples 2, 3, and 4 Warm-Up Exercises 1. Two triangular prisms are similar, with surface areas 9 ft 2 and 25 ft 2. What is the scale factor of the prisms? ANSWER 2. 3: 5 Two spheres have volumes 125π m 3 and 216π m 3. What is the scale factor of the spheres? What is the ratio of the surface areas? ANSWER 5 : 6; 25 : 36

Daily Homework Quiz Warm-Up Exercises 3. The volumes of two similar square pyramids are

Daily Homework Quiz Warm-Up Exercises 3. The volumes of two similar square pyramids are 8 ft 3 and 27 ft 3. What is the ratio of the surface area of the smaller pyramid to the larger? ANSWER 4. 4: 9 The two solids are similar. Find the surface area and volume of Solid II. ANSWER S = 361. 28 cm 2; V = 575. 96 cm 3

Scale Scale Factor Scale Drawings Scale Scale FactorScale Scale Factor Scale Drawings Scale Scale Factor
WarmUp 2 Exercises EXAMPLE Use the scale factorWarmUp 2 Exercises EXAMPLE Use the scale factor
WarmUp Exercises WarmUp In Exercises 1 and 2WarmUp Exercises WarmUp In Exercises 1 and 2
WarmUp Exercises WarmUp In Exercises 1 and 2WarmUp Exercises WarmUp In Exercises 1 and 2
Scale Factor A Look at Scale Factor andScale Factor A Look at Scale Factor and
Scale Factor Scale Drawings Understanding Scales All scaleScale Factor Scale Drawings Understanding Scales All scale
Scale Factor Scale Drawings Understanding Scales All scaleScale Factor Scale Drawings Understanding Scales All scale
SCALE LIMITED SCALE RC SCALE 10 SCALE 20SCALE LIMITED SCALE RC SCALE 10 SCALE 20
WarmUp Exercises Use this diagram for Exercises 1WarmUp Exercises Use this diagram for Exercises 1
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