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Main Idea/Vocabulary similar solids Find dimensions, surface area, and volume of similar solids.

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Example 1 Find Missing Linear Measures These cones are similar. What is the radius of Cone A to the nearest tenth? Since the two cones are similar, the ratios of their corresponding linear measures are proportional. Words Variable Equation

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Example 1 Find Missing Linear Measures Write the proportion. Divide each side by 12. Answer: The radius of cone A is about 4.7 centimeters. Find the cross products. Multiply. Simplify.

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1.A 2.B 3.C 4.D Example 1 A.6.5 cm B.7.0 cm C.7.5 cm D.8.0 cm The cones are similar. What is the radius of Cone B to the nearest tenth? Cone ACone B

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KC

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Example 2 Find Surface Area of a Similar Solid These rectangular prisms are similar. Find the total surface area of Prism A. The ratio of the measures of prism A to prism B is

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Example 2 Find Surface Area of a Similar Solid Answer: The surface area of prism A is 846 square inches. Write a proportion. Substitute the known values. Let S represent the surface area. Simplify. Find the cross products. Divide each side by 4. Simplify.

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1.A 2.B 3.C 4.D Example 2 A.476 cm 2 B.528 cm 2 C.562 cm 2 D.640 cm 2 These square pyramids are similar. Find the total surface area of Pyramid A.

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Example 3 A triangular prism has a volume of 12 cm 3. Suppose the dimensions are tripled. What is the volume of the new prism? A. 36 cm 3 B. 96 cm 3 C. 324 cm 3 D. 1,728 cm 3 Read the Item Find Volume of a Similar Solid

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Example 3 Solve the Item Find Volume of a Similar Solid

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Example 3 Answer: So, the volume of larger prism is 324 cubic centimeters. The answer is C. Write a proportion. Substitute the known values. Let V represent the volume of the larger prism. Simplify. Find the cross products. Simplify. Find Volume of a Similar Solid

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1.A 2.B 3.C 4.D Example 3 A.75 in 3 B.120 in 3 C.200 in 3 D.675 in 3 A hexagonal prism has a volume of 25 cubic inches. Suppose the dimensions are tripled. What is the volume of the new prism?

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1.A 2.B 3.C 4.D Five Minute Check 1 A.surface area B.lateral area C.slant height D.angle Thirteen inches is the measure of what part of the pyramid? (over Lesson 7-8)

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1.A 2.B 3.C 4.D Five Minute Check 2 A.260 in 2 B.360 in 2 C.195 in 2 D.140 in 2 Find the lateral area of the pyramid. Round to the nearest tenth if necessary. (over Lesson 7-8)

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1.A 2.B 3.C 4.D Five Minute Check 3 A.33 in 2 B.53 in 2 C.260 in 2 D.360 in 2 Find the total surface area of the pyramid. Round to the nearest tenth if necessary. (over Lesson 7-8)

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1.A 2.B 3.C 4.D Five Minute Check 4 A.1 oz B.2 oz C.3 oz D.4 oz (over Lesson 7-8) For an art project, only the sides of the pyramid are to be painted. If 1 ounce of enamel paint covers about 280 square inches and 2 coats are to be applied, how much paint should students have on hand for each pyramid?

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1.A 2.B 3.C 4.D Five Minute Check 5 A.20 m 2 B.78 m 2 C.127 m 2 D.274 m 2 What is the approximate surface area of the pyramid? (over Lesson 7-8)

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