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Lesson 11-1 Area of Parallelograms Lesson 11-2 Area of Triangles and Trapezoids Lesson 11-3 Circles and Circumference Lesson 11-4 Area of Circles Lesson 11-5 Problem-Solving Investigation: Solve a Simpler Problem Lesson 11-6 Area of Complex Figures Lesson 11-7 Three-Dimensional Figures Lesson 11-8 Drawing Three-Dimensional Figures Lesson 11-9 Volume of Prisms Lesson 11-10 Volume of Cylinders Chapter Menu

Five-Minute Check (over Chapter 10) Main Idea and Vocabulary California Standards Key Concept: Area of a Parallelogram Example 1: Find the Area of a Parallelogram Example 2: Find the Area of a Parallelogram Example 3: Real-World Example Lesson 1 Menu

Find the areas of parallelograms. base height Lesson 1 MI/Vocab

C = πd—the formulas for the perimeter of a Standard 6AF3.1 Use variables in expressions describing geometric quantities (e.g., P = 2w + 2, C = πd—the formulas for the perimeter of a rectangle, the area of a triangle, and the circumference of a circle, respectively). Standard 6AF3.2 Express in symbolic form simple relationships arising from geometry. Lesson 1 CA

Lesson 1 KC1

Find the Area of a Parallelogram Find the area of the parallelogram. Estimate A = 8 ● 6 or 48 cm2 A = bh Area of a parallelogram A = 7.5 ● 6.4 Replace b with 7.5 and h with 6.4. A = 48 Multiply. Answer: The area of the parallelogram is 48 square centimeters. Lesson 1 Ex1

Find the area of the parallelogram. A. 13 in2 B. 26 in2 C. 52 in2 D. 208 in2 A B C D Lesson 1 CYP1

Find the Area of a Parallelogram Find the area of the parallelogram. The base is 8 centimeters, and the height is 4.5 centimeters. Estimate A = 8 ● 5 or 40 cm2 Lesson 1 Ex2

Find the Area of a Parallelogram A = bh Area of a parallelogram A = 8 ● 4.5 Replace b with 8 and h with 4.5. A = 36 Multiply. Answer: The area of the parallelogram is 36 square centimeters. Lesson 1 Ex2

Find the area of the parallelogram to the right. B. 10.8 m2 C. 10.92 m2 D. 13.81 m2 A B C D Lesson 1 CYP2

Find the area of one of the fields and then multiply that result by 3. FARMING A farmer planted the three fields shown with rice. What is the total area of the three fields? Find the area of one of the fields and then multiply that result by 3. A = bh Area of a parallelogram A = 56.7 ● 75 Replace b with 56.7 and h with 75. A = 4,252.5 Multiply. Lesson 1 Ex3

Answer:. The area of one of the fields is 4,252. 5 m2 Answer: The area of one of the fields is 4,252.5 m2. So, the area of the three fields together is 3 ● 4,252.5 or 12,757.5 m2. Lesson 1 Ex3

LANDSCAPING Sue is designing a new walkway from her back patio to a garden. She is using stones that are shaped as parallelograms to create the walkway. Each of the stones has a base of 18 inches and a height of 24 inches. It takes 30 stones to complete the walkway. What is the total area of the walkway? A. 720 in2 B. 1,250 in2 C. 7,348 in2 D. 12,960 in2 A B C D Lesson 1 CYP3

End of Lesson 1

Five-Minute Check (over Lesson 11-1) Main Idea California Standards Key Concept: Area of a Triangle Example 1: Find the Area of a Triangle Key Concept: Area of a Trapezoid Example 2: Find the Area of a Trapezoid Example 3: Real-World Example Lesson 2 Menu

Find the areas of triangles and trapezoids. Lesson 2 MI/Vocab

C = πd—the formulas for the perimeter of a Standard 6AF3.1 Use variables in expressions describing geometric quantities (e.g., P = 2w + 2, C = πd—the formulas for the perimeter of a rectangle, the area of a triangle, and the circumference of a circle, respectively). Standard 6AF3.2 Express in symbolic form simple relationships arising from geometry. Lesson 2 CA

Lesson 2 KC1

Find the Area of a Triangle Find the area of the triangle below. Lesson 2 Ex1

Find the Area of a Triangle A = 14.4 Multiply. Answer: The area of the triangle is 14.4 square centimeters. Lesson 2 Ex1

Find the area of the triangle to the right. A. 10.5 ft2 B. 13.5 ft2 C. 21.75 ft2 D. 27 ft2 A B C D Lesson 2 CYP1

Interactive Lab: Area of Trapezoids Lesson 2 KC2

Find the Area of a Trapezoid Find the area of the trapezoid below. The bases are 4 meters and 7.6 meters. The height is 3 meters. Lesson 2 Ex2

Find the Area of a Trapezoid Replace h with 3, b1 with 4, and b2 with 7.6. Answer: The area of the trapezoid is 17.4 square meters. Lesson 2 Ex2

Find the area of the trapezoid to the right. A. 26.5 cm2 B. 60.5 cm2 C. 61.5 cm2 D. 73.5 cm2 A B C D Lesson 2 CYP2

GEOGRAPHY The shape of the state of Montana resembles a trapezoid GEOGRAPHY The shape of the state of Montana resembles a trapezoid. Find the approximate area of Montana. Lesson 2 Ex3

Replace h with 285, b1 with 542, and b2 with 479. Answer: The area of Montana is about 145,493 square miles. Lesson 2 Ex3

PAINTING The diagram below is of a canvas resembling a trapezoid that will be painted. In order to determine how much paint will be needed, estimate the area of the canvas in square feet. A. 75 ft2 B. 150 ft2 C. 300 ft2 D. 450 ft2 A B C D Lesson 2 CYP3

End of Lesson 2

Five-Minute Check (over Lesson 11-2) Main Idea and Vocabulary California Standards Key Concept: Circumference of a Circle Example 1: Real-World Example: Find Circumference Example 2: Find Circumference Lesson 3 Menu

Find the circumference of circles. center diameter circumference radius π (pi) Lesson 3 MI/Vocab

Standard MG1.2 Know common estimates of π Standard 6MG1.1 Understand the concept of a constant such as π; know the formulas for the circumference and area of a circle. Standard MG1.2 Know common estimates of π and use these values to estimate and calculate the circumference and area of circles; compare with actual measurements. Lesson 3 CA

Lesson 3 KC1

Replace  with 3.14 and r with 3. C = 2r𝝅 OR C = 2𝝅r OR C = 𝝅d PETS Find the circumference around the hamster’s running wheel. Round to the nearest tenth. C = 2r Replace  with 3.14 and r with 3. Answer: The distance around the hamster’s running wheel is about 18.8 inches. Lesson 3 Ex1

C = 2r𝝅 OR C = 2𝝅r OR C = 𝝅d SWIMMING POOL A new children’s swimming pool is being built at the local recreation center. The pool is circular in shape with a diameter of 18 feet. Find the circumference of the pool. Round to the nearest tenth. A. 28.6 ft B. 32.9 ft C. 56.5 ft D. 254.3 ft A B C D Lesson 3 CYP1

Find the circumference of a circle with a diameter of 49 centimeters. Find Circumference Find the circumference of a circle with a diameter of 49 centimeters. .   Answer: The circumference of the circle is about 154 centimeters. Lesson 3 Ex2

Find the circumference of a circle with a radius of 35 feet. A. 54 ft B. 123 ft C. 178 ft D. 220 ft A B C D Lesson 3 CYP2

End of Lesson 3

Five-Minute Check (over Lesson 11-3) Main Idea California Standards Key Concept: Area of a Circle Example 1: Find the Area of a Circle Example 2: Real-World Example Example 3: Standards Example Lesson 4 Menu

Find the areas of circles. Lesson 4 MI/Vocab

Standard MG1.2 Know common estimates of π Standard 6MG1.1 Understand the concept of a constant such as π; know the formulas for the circumference and area of a circle. Standard MG1.2 Know common estimates of π and use these values to estimate and calculate the circumference and area of circles; compare with actual measurements. Lesson 4 CA

Lesson 4 KC1

A = 𝝅r2 Find the Area of a Circle Find the area of the circle shown here. Round to the nearest hundreth. A = πr2 Area of a circle A = π ● 42 Replace r with 4. A = 3.14 ● 4 ● 4 = 50.24 Lesson 4 Ex1

A = 𝝅r2 Find the area of the circle shown here. A. approximately 32.97 ft2 B. approximately 65.9 ft2 C. approximately 121.3 ft2 D. approximately 346.2 ft2 A = πr2 Area of a circle A = π ● 10.5 2 Replace r with 10.5. A = 3.14 ● 10.5 ● 10.5 = 346.185 A B C D Lesson 4 CYP1

A = 𝝅r2 KOI Find the area of the koi pond shown. Round to the nearest tenth. The diameter of the koi pond is 3.6 m. Therefore, the radius is 1.8 m. A = πr2 Area of a circle A = π(1.8)2 Replace r with 1.8. A. ≈ (3.14) (1.8) (1.8) A ≈ (3.14) 10.2 Multiply. A ≈ 32.028 ≈ 32.0 Lesson 4 Ex2

A = 𝝅r2 PARACHUTE Bluehills Elementary School has a parachute that is used for an activity in physical education class. The diameter of the parachute is 15 feet. Find the area of the parachute. A. 54.5 ft2 B. 121.5 ft2 C. 176.6 ft2 D. 214.4 ft2 15 ÷ 2 = 7.5 A = πr2 A = π(7.5)2 A. ≈ (3.14) (7.5) (7.5) A ≈ (3.14) (56.25) A ≈ 176.625 ≈ 176.6 A B C D

A = 𝝅r2 Mr. McGowan made an apple pie with a diameter of 10 inches. He cut the pie into 6 equal slices. Find the approximate area of each slice. A 3 in2 B 13 in2 C 16 in2 D 52 in2 A = πr2 Area of a circle A = π(5)2 Replace r with 5. A ≈ 3.14 ● 5 ● 5 ≈ 78.5 ≈ 78 Find the area of one slice: 78 ÷ 6 = 13 Answer: B Lesson 4 Ex3

A = 𝝅r2 MERRY-GO-ROUND The floor of a merry-go-round at the amusement park has a diameter of 40 feet. The floor is divided evenly into eight sections, each having a different color. Find the area of each section of the floor. 40 ÷ 2 = 20 A = πr2 A = π(20)2 A. ≈ (3.14) (20) (20) A ≈ (3.14) (400) A ≈ 1256 1256 ÷ 8 = 157 A. 157 ft2 B. 225 ft2 C. 264 ft2 D. 312 ft2 A B C D Lesson 4 CYP3

End of Lesson 4

Five-Minute Check (over Lesson 11-4) Main Idea California Standards Example 1: Solve a Simpler Problem Lesson 5 Menu

Solve problems by solving a simpler problem. Lesson 5 MI/Vocab

Standard 6MR1.3 Determine when and how to break a problem into simpler parts. Standard 6MR2.2 Apply strategies and results from simpler problems to more complex problems. Standard 6NS2.1 Solve problems involving addition, . . . multiplication, . . . of positive fractions and explain why . . . , was used for a given situation. Lesson 5 CA

Solve a Simpler Problem PAINT Ben and Sheila are going to paint the wall of a room as shown. What is the area that will be painted? Use the solve a simpler problem strategy. Lesson 5 Ex1

Solve a Simpler Problem Explore You know that the entire wall is a rectangle and that the door and window are each rectangles. Plan Find the area of each of the rectangles separately. Then subtract the areas of the door and window from the area of the entire wall. Lesson 5 Ex1

Solve a Simpler Problem Solve area of wall: area of door: area of window: A = lw A = lw A = lw A = (12)(9) A = (7)(3) A = (5)(4) A = 108 A = 21 A = 20 Check Use estimation to check. Answer: So, the area that will be painted is 108 – 21 – 20 or 67 ft2. Lesson 5 Ex1

Karen is placing a rectangular area rug measuring 8 feet by 10 feet in a rectangular dining room that measures 14 feet by 18 feet. Find the area of the flooring that is not covered by the area rug. Use the solve a simpler problem strategy. A. 56 ft2 B. 145 ft2 C. 172 ft2 D. 212 ft2 A B C D Lesson 5 CYP1

End of Lesson 5

Five-Minute Check (over Lesson 11-5) Main Idea and Vocabulary California Standards Example 1: Find the Area of a Complex Figure Example 2: Real-World Example Lesson 6 Menu

Find the areas of complex figures. semicircle Lesson 6 MI/Vocab

C = πd—the formulas for the perimeter of a Standard 6AF3.1 Use variables in expressions describing geometric quantities (e.g., P = 2w + 2, C = πd—the formulas for the perimeter of a rectangle, the area of a triangle, and the circumference of a circle, respectively). Standard 6AF3.2 Express in symbolic form simple relationships arising from geometry. Lesson 6 CA

Find the Area of a Complex Figure Find the area of the figure in square centimeters. The figure can be separated into a rectangle and a triangle. Find the area of each. Lesson 6 Ex1

Find the Area of a Complex Figure Area of Rectangle A = lw Area of a rectangle A = 15 ● 10 Replace l with 15 and w with 10. A = 150 Multiply. Area of Triangle Lesson 6 Ex1

Find the Area of a Complex Figure Answer: 160 cm2 Lesson 6 Ex1

Find the area of the figure in square yards. A. 82 yd2 B. 108 yd2 C. 119 yd2 D. 172 yd2 A B C D Lesson 6 CYP1

The figure can be separated into a semicircle and a rectangle. WINDOWS The diagram below shows the dimensions of a window that is 3.4 feet by 7.2 feet. Find the area of the window. Round to the nearest tenth. The figure can be separated into a semicircle and a rectangle. Lesson 6 Ex2

Area of Semicircle   Lesson 6 Ex2

BrainPOP: Area of Polygons Area of Rectangle A = lw Area of a rectangle A = 5.5 ● 3.4 Replace l with 7.2 – 1.7 or 5.5 and w with 3.4. A = 19.7 Multiply. Answer: about 23.2 ft2 BrainPOP: Area of Polygons Lesson 6 Ex2

DRIVEWAY The diagram shows the dimensions of a new driveway DRIVEWAY The diagram shows the dimensions of a new driveway. Find the area of the driveway. Round to the nearest tenth. A. 162.4 ft2 B. 180.3 ft2 C. 220.8 ft2 D. 252.6 ft2 A B C D Lesson 6 CYP2

End of Lesson 6

Five-Minute Check (over Lesson 11-6) Main Idea and Vocabulary California Standards Key Concept: Prisms and Pyramids Key Concept: Cones, Cylinders, and Spheres Example 1: Classify Three-Dimensional Figures Example 2: Classify Three-Dimensional Figures Example 3: Real-World Example Lesson 7 Menu

Build three-dimensional figures given the top, side, and front views. base pyramid cone cylinder sphere center face edge lateral face vertex (vertices) prism Lesson 7 MI/Vocab

Preparation for Standard 7MG3 Preparation for Standard 7MG3.6 Identify elements of three-dimensional geometric objects (e.g., diagonals of rectangular solids) and describe how two or more objects are related in space (e.g., skew lines, the possible ways three planes might intersect). Lesson 7 CA

Lesson 7 KC1

Lesson 7 KC2

Classify Three-Dimensional Figures Classify the figure shown below. The figure has one rectangular base and four lateral faces that are triangles. It is a rectangular pyramid. Answer: rectangular pyramid Lesson 7 Ex1

Classify the figure shown below. A. sphere B. cone C. cylinder D. rectangular prism A B C D Lesson 7 CYP1

Classify Three-Dimensional Figures Classify the figure shown below. The figure has two rectangular bases and four lateral faces that are rectangles. It is a rectangular prism. Answer: rectangular prism Lesson 7 Ex2

Classify the figure shown below. A. cone B. cylinder C. triangular pyramid D. triangular prism A B C D Lesson 7 CYP2

Answer: triangular prism HOUSES Classify the shape of the house’s roof as a three-dimensional figure. The roof of the house appears to be a triangular prism. It has two bases that are triangles and three lateral faces that are rectangles. Answer: triangular prism Lesson 7 Ex3

SPORTS David received a new basketball for his birthday SPORTS David received a new basketball for his birthday. Classify the shape of his gift as a three-dimensional figure. A. cylinder B. sphere C. cone D. triangular pyramid A B C D Lesson 7 CYP3

End of Lesson 7

Five-Minute Check (over Lesson 11-7) Main Idea California Standards Example 1: Draw a Three-Dimensional Figure Example 2: Real-World Example Example 3: Draw a Three-Dimensional Figure Lesson 8 Menu

Draw a three-dimensional figure given the top, side, and front views. Lesson 8 MI/Vocab

Reinforcement of Standard 5MG2 Reinforcement of Standard 5MG2.3 Visualize and draw two-dimensional views of three-dimensional objects made from rectangular solids. Standard 6MR2.4 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning. Lesson 8 CA

Interactive Lab: Drawing 3-D Figures Draw a Three-Dimensional Figure Draw a top, a side, and a front view of the figure below. The top and front views are rectangles. The side view is a square. Answer: Interactive Lab: Drawing 3-D Figures Lesson 8 Ex1

Draw a top, a side, and a front view of the figure. A. B. C. D. A B C D Lesson 8 CYP1

Draw a top, side, and a front view of the soup can shown. The top view is a circle. The side and front views are two rectangles. Answer: Lesson 8 Ex2

Draw a top, a side, and a front view of the house shown. A. B. C. D. top side front A B C D Lesson 8 CYP2

Draw a Three-Dimensional Figure Draw the top, side, and front views shown below. Use isometric dot paper. Step 1 Use the top view to draw the base of the figure. Step 2 Add edges to make the base a solid figure. Step 3 Use the side and front views to complete the figure. Lesson 8 Ex3

Draw a Three-Dimensional Figure Answer: Lesson 8 Ex3

Draw a solid using the top, side, and front views shown below Draw a solid using the top, side, and front views shown below. Use isometric dot paper. A. B. C. D. none of these A B C D Lesson 8 CYP3

End of Lesson 8

Five-Minute Check (over Lesson 11-8) Main Idea and Vocabulary California Standards Key Concept: Volume of a Rectangular Prism Example 1: Volume of a Rectangular Prism Example 2: Real-World Example Key Concept: Volume of a Triangular Prism Example 3: Volume of a Triangular Prism Lesson 9 Menu

Find the volumes of rectangular and triangular prisms. rectangular prism triangular prism Lesson 9 MI/Vocab

Standard 6MG1.3 Know and use the formulas for the volume of triangular prisms and cylinders (area of base × height); compare these formulas and explain the similarity between them and the formulas for the volume of a rectangular solid. Lesson 9 CA

Lesson 9 KC1

Volume of a Rectangular Prism Find the volume of the prism. V = ℓwh Volume of a rectangular prism V = 4 ● 3 ● 2 Replace ℓ with 4, w with 3, and h with 2. V = 24 Multiply. Answer: 24 cm3 Lesson 9 Ex1

Find the volume of the rectangular prism. A. 20 in3 B. 100 in3 C. 240 in3 D. 960 in3 A B C D Lesson 9 CYP1

V = ℓwh Volume of a rectangular prism GAMES The manufacturer of the game Bugs of Planet Zykon uses the box shown. If the manufacturer increases the length of the box to 10 inches, how much will the box’s volume increase? Volume of original box V = ℓwh Volume of a rectangular prism V = 8.5 ● 6 ● 4 Replace ℓ with 8.5, w with 6, and h with 4. V = 204 Multiply. Lesson 9 Ex2

V = ℓwh Volume of a rectangular prism Volume of new box V = ℓwh Volume of a rectangular prism V = 10 ● 6 ● 4 Replace ℓ with 10, w with 6, and h with 4. V = 240 Multiply. The difference in volume between the new box and the original box is 240 – 204 or 36 in3. Answer: 36 in3 Lesson 9 Ex2

CRACKERS Find the volume of the cracker box. A. 20 in3 B. 112 in3 C. 280 in3 D. 315 in3 A B C D Lesson 9 CYP2

Lesson 9 KC2

Volume of a Triangular Prism Find the volume of the triangular prism. Lesson 9 Ex3

Volume of a Triangular Prism V = Bh Volume of a prism V = 31.5 ● 10 Replace B with 31.5 and h with 10. V = 315 Multiply. Answer: 315 m3 Lesson 9 Ex3

Find the volume of the triangular prism. A. 16 m3 B. 63 m3 C. 126 m3 D. 178 m3 A B C D Lesson 9 CYP3

End of Lesson 9

Five-Minute Check (over Lesson 11-9) Main Idea California Standards Key Concept: Volume of a Cylinder Example 1: Find the Volume of a Cylinder Example 2: Real-World Example Lesson 10 Menu

Find the volumes of cylinders. Lesson 10 MI/Vocab

Standard 6MG1.3 Know and use the formulas for the volume of triangular prisms and cylinders (area of base × height); compare these formulas and explain the similarity between them and the formulas for the volume of a rectangular solid. Lesson 10 CA

Lesson 10 KC1

Find the Volume of a Cylinder Find the volume of the cylinder. Round to the nearest tenth. V = r2h Volume of a cylinder V = (5.5)2(9) Replace r with 5.5 and h with 9. V = 854.9 Answer: The volume is about 854.9 cubic centimeters. Lesson 10 Ex1

Find the volume of the cylinder. Round to the nearest tenth. A. 274.1 in3 B. 513.8 in3 C. 974.6 in3 D. 1,639.9 in3 A B C D Lesson 10 CYP1

COFFEE How much coffee can the can hold? V = r2h Volume of a cylinder V = (1.5)2(6) Replace r with 1.5 and h with 6. V ≈ 42.4 Simplify. Answer: 42.4 in3 Lesson 10 Ex2

JUICE Find the volume of a cylinder-shaped juice can that has a diameter of 5 inches and a height of 8 inches. A. 628.3 in3 B. 125.7 in3 C. 157.1 in3 D. 50 in3 A B C D Lesson 10 CYP2

End of Lesson 10

Five-Minute Checks Image Bank Math Tools Area of Trapezoids Drawing 3-D Figures Area of Polygons CR Menu

Lesson 11-1 (over Chapter 10) Lesson 11-2 (over Lesson 11-1) 5Min Menu

1. Exit this presentation. To use the images that are on the following three slides in your own presentation: 1. Exit this presentation. 2. Open a chapter presentation using a full installation of Microsoft® PowerPoint® in editing mode and scroll to the Image Bank slides. 3. Select an image, copy it, and paste it into your presentation. IB 1

IB 2

IB 3

IB 4

Find the value of x in the figure. (over Chapter 10) Find the value of x in the figure. A. 147 B. 123 C. 57 D. 33 A B C D 5Min 1-1

Classify the triangle by its angles and by its sides. (over Chapter 10) Classify the triangle by its angles and by its sides. A. acute; isosceles B. isosceles; obtuse C. obtuse; isosceles D. acute; scalene A B C D 5Min 1-2

Find the values of x in the pair of similar figures. (over Chapter 10) Find the values of x in the pair of similar figures. A. x = 28 cm B. x = 13.65 cm C. x = 7 cm D. x = 1.75 cm A B C D 5Min 1-3

(over Chapter 10) Triangle NLR has vertices N(2, 2), L(1, 4), and R(1, 2). If Triangle N'L'R' has vertices N'(–2, 2), L'(–1, 4), and R'(–1, 2), what type of reflection was performed on triangle NLR? A. ΔNLR was reflected over the x-axis. B. ΔNLR was reflected over the y-axis. C. ΔNLR was reflected over both axes. D. ΔNLR was not reflected. A B C D 5Min 1-4

(over Lesson 11-1) Find the area of the parallelogram. Round to the nearest tenth if necessary. A. 209 in2 B. 198 in2 C. 99 in2 D. 60 in2 A B C D 5Min 2-1

(over Lesson 11-1) Find the area of the parallelogram. Round to the nearest tenth if necessary. A. 19 yd2 B. 38 yd2 C. 42 yd2 D. 84 yd2 A B C D 5Min 2-2

(over Lesson 11-1) Determine whether the following statement is true or false. The height of a parallelogram is the distance from the base to the opposite side. A. true B. false A B 5Min 2-3

(over Lesson 11-1) What is the height of a parallelogram if the base is 24 centimeters and the area is 744 square centimeters? A. 28 cm B. 32 cm C. 31 cm D. 30.5 cm A B C D 5Min 2-4

Find the area of the figure. Round to the nearest tenth if necessary. (over Lesson 11-2) Find the area of the figure. Round to the nearest tenth if necessary. A. 30.4 in2 B. 42 in2 C. 48.4 in2 D. 84 in2 A B C D 5Min 3-1

Find the area of the figure. Round to the nearest tenth if necessary. (over Lesson 11-2) Find the area of the figure. Round to the nearest tenth if necessary. A. 28 cm2 B. 32 cm2 C. 36 cm2 D. 48 cm2 A B C D 5Min 3-2

Find the area of the figure. Round to the nearest tenth if necessary. (over Lesson 11-2) Find the area of the figure. Round to the nearest tenth if necessary. A. 148.8 m2 B. 158.4 m2 C. 316.8 m2 D. 375.1 m2 A B C D 5Min 3-3

(over Lesson 11-2) Find the area of a triangle whose base is 15.75 yards and whose height is 10.25 yards. A. 338 yd2 B. 161.4 yd2 C. 80.7 yd2 D. 52 yd2 A B C D 5Min 3-4

(over Lesson 11-2) Bell has a triangular garden with a base of 20 feet and a height of 15 feet. Find the area of Bell’s garden. A. 35 ft2 B. 70 ft2 C. 150 ft2 D. 300 ft2 A B C D 5Min 3-5

(over Lesson 11-2) A trapezoid has bases of 14.7 meters and 12.2 meters, and a height of 9 meters. What is the area of the trapezoid to the nearest tenth? A. 132.3 m2 B. 121.1 m2 C. 144.6 m2 D. 155.8 m2 A B C D 5Min 3-6

(over Lesson 11-3) Find the circumference of the circle. Use 3.14 for . Round to the nearest tenth if necessary. radius = 5 ft A. 15.7 ft B. 31.4 ft C. 78.5 ft D. 3.14 ft A B C D 5Min 4-1

(over Lesson 11-3) Find the circumference of the circle. Use 3.14 for . Round to the nearest tenth if necessary. diameter = 11.2 in. A. 35.2 in. B. 17.6 in. C. 70.3 in. D. 7.0 in. A B C D 5Min 4-2

(over Lesson 11-3) Find the diameter of the circle. Use 3.14 for . Round to the nearest tenth if necessary. C = 30 ft, diameter = ___ ft A. 9.5 B. 19.1 C. 9.6 D. 4.8 A B C D 5Min 4-3

(over Lesson 11-3) Find the diameter of the circle. Use 3.14 for . Round to the nearest tenth if necessary. C = 96 cm, diameter = ___ cm A. 24 B. 15.3 C. 3.0 D. 30.6 A B C D 5Min 4-4

(over Lesson 11-3) A coffee can has a circumference of 216 mm. Which equation could be used to find the diameter of the can in inches? A. 216 = d B. C =  × 108 C. 108 =  × d D. C =  × 14.7 A B C D 5Min 4-5

Find the area of the circle. Round to the nearest tenth. (over Lesson 11-4) Find the area of the circle. Round to the nearest tenth. A. 8.8 cm2 B. 12.3 cm2 C. 17.6 cm2 D. 24.6 cm2 A B C D 5Min 5-1

Find the area of the circle. Round to the nearest tenth. (over Lesson 11-4) Find the area of the circle. Round to the nearest tenth. A. 50.3 ft2 B. 39.4 ft2 C. 25.1 ft2 D. 12.6 ft2 A B C D 5Min 5-2

Find the area of the circle. Round to the nearest tenth. (over Lesson 11-4) Find the area of the circle. Round to the nearest tenth. A. 40.9 m2 B. 81.7 m2 C. 132.7 m2 D. 256.6 m2 A B C D 5Min 5-3

Find the area of the circle whose diameter is yards. (over Lesson 11-4) Find the area of the circle whose diameter is yards. A. 111.5 yd2 B. 247.4 yd2 C. 494.6 yd2 D. 989.3 yd2 A B C D 5Min 5-4

(over Lesson 11-4) Find the area of the shaded region shown in the figure. Round to the nearest tenth. A. 339.1 in2 B. 141.3 in2 C. 84.8 in2 D. 75.4 in2 A B C D 5Min 5-5

(over Lesson 11-4) What is the radius of a circle that has an area of 154 square millimeters? A. 49 mm B. 25 mm C. 8 mm D. 7 mm A B C D 5Min 5-6

(over Lesson 11-5) Mr. Cole decided to build a deck around his swimming pool. His pool is 25 feet by 10 feet and he wants the deck to be 2.5 feet wide. What will the area of the deck be? A. 200 ft2 B. 250 ft2 C. 450 ft2 D. 300 ft2 A B C D 5Min 6-1

(over Lesson 11-5) Over the weekend, Darrell spent $68. Of that, about 71% was spent on a game. About how much money was not spent on a game? A. $48.28 B. $19.72 C. $20.40 D. $47.60 A B C D 5Min 6-2

(over Lesson 11-5) Becky can make 6 bracelets in 3 days. How many bracelets can she and two friends make in 8 days working at the same rate? A. 72 bracelets B. 96 bracelets C. 48 bracelets D. 144 bracelets A B C D 5Min 6-3

(over Lesson 11-5) The graph shows the results of the 2006 Winter Olympics. The U.S. received a total of 25 medals. How many were gold? A. 7 B. 8 C. 9 D. 10 A B C D 5Min 6-4

Find the area of the figure. Round to the nearest tenth if necessary. (over Lesson 11-6) Find the area of the figure. Round to the nearest tenth if necessary. A. 27.3 yd2 B. 28.3 yd2 C. 32.1 yd2 D. 41.5 yd2 A B C D 5Min 7-1

Find the area of the figure. Round to the nearest tenth if necessary. (over Lesson 11-6) Find the area of the figure. Round to the nearest tenth if necessary. A. 87 in2 B. 73.5 in2 C. 72 in2 D. 58.5 in2 A B C D 5Min 7-2

(over Lesson 11-6) India wants to carpet her bedroom and closet. If her bedroom is 10.5 feet by 11 feet and her closet is 4.5 feet by 3 feet, how much area does she need to carpet? A. 161 ft2 B. 129 ft2 C. 116 ft2 D. 102 ft2 A B C D 5Min 7-3

Find the area of the figure. (over Lesson 11-6) Find the area of the figure. A. 374 ft2 B. 278 ft2 C. 264 ft2 D. 208 ft2 A B C D 5Min 7-4

Identify the shape of the base. Then classify the figure. (over Lesson 11-7) Identify the shape of the base. Then classify the figure. A. square prism B. square pyramid C. rectangular prism D. rectangular pyramid A B C D 5Min 8-1

Identify the shape of the base. Then classify the figure. (over Lesson 11-7) Identify the shape of the base. Then classify the figure. A. rectangular prism B. rectangular pyramid C. pentagonal prism D. pentagonal pyramid A B C D 5Min 8-2

Identify the shape of the base. Then classify the figure. (over Lesson 11-7) Identify the shape of the base. Then classify the figure. A. sphere B. cylinder C. cone D. circular prism A B C D 5Min 8-3

Identify the shape of the base. Then classify the figure. (over Lesson 11-7) Identify the shape of the base. Then classify the figure. A. rectangular prism B. rectangular pyramid C. square prism D. square pyramid A B C D 5Min 8-4

Which figure is shown? A. pentagonal prism B. triangular prism (over Lesson 11-7) Which figure is shown? A. pentagonal prism B. triangular prism C. pentagonal prism D. pentagonal pyramid A B C D 5Min 8-5

(over Lesson 11-8) Refer to the figure. Which option shows the top, side, and front views of the solid? A. B. C. D. A B C D 5Min 9-1

(over Lesson 11-8) Which option shows a solid, drawn using the top, side, and front views shown in the figure? A. B. C. D. A B C D 5Min 9-2

What is the side view of the figure? (over Lesson 11-8) What is the side view of the figure? A. rectangle B. square C. triangle D. parallelogram A B C D 5Min 9-3

(over Lesson 11-9) Find the volume of the rectangular prism shown in the figure. Round to the nearest tenth if necessary. A. 330 in3 B. 300 in3 C. 121 in3 D. 85 in3 A B C D 5Min 10-1

(over Lesson 11-9) Find the volume of the rectangular prism shown in the figure. Round to the nearest tenth if necessary. A. 11.6 cm3 B. 16.8 cm3 C. 34 cm3 D. 115.6 cm3 A B C D 5Min 10-2

A cube has 6-inch edges. Find its volume. (over Lesson 11-9) A cube has 6-inch edges. Find its volume. A. 18 in3 B. 36 in3 C. 216 in3 D. 1,296 in3 A B C D 5Min 10-3

(over Lesson 11-9) Kieran’s greenhouse is 25 feet long, 13 feet wide, and 14 feet high. She needs to know how many humidifiers to buy for the greenhouse. If each humidifier serves 1,000 ft3 how many humidifiers should she buy? A. 6 B. 5 C. 4 D. 3 A B C D 5Min 10-4

(over Lesson 11-9) What is the volume of a closet that is 6 feet wide, 4 feet deep, and 10 feet tall? A. 24 ft3 B. 60 ft3 C. 154 ft3 D. 240 ft3 A B C D 5Min 10-5

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