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Splash Screen

Splash Screen. Chapter 7. Lesson 7 - 7. 5Min 5-6. (over Lesson 7-4). A B C D. Which of the following is represented by a point?. A. face B. vertex C. base D. edge.

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Splash Screen

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  1. Splash Screen Chapter 7 Lesson 7-7

  2. 5Min 5-6 (over Lesson 7-4) • A • B • C • D Which of the following is represented by a point? A. face B. vertex C. base D. edge

  3. The base of the triangle of a triangular prism is 3 yd, the altitude is 5 yd, and the height is 9 yd. Find the volume of the triangular prism. Round to the nearest tenth if necessary. A. yd3 B.yd3 C.yd3D.yd3 5Min 6-4 (over Lesson 7-5) • A • B • C • D

  4. 5Min 7-1 (over Lesson 7-6) • A • B • C • D Find the volume of the given solid. Round to the nearest tenth if necessary. A.15 m3 B.20 m3 C.40 m3 D.60 m3

  5. 5Min 7-2 (over Lesson 7-6) • A • B • C • D Find the volume of the given solid. Round to the nearest tenth if necessary. A.1,026.3 ft3 B.1,539.1 ft3 C.2,931.6 ft3 D.3,078.2 ft3

  6. Find the lateral and total surface areas of prisms and cylinders. Please go to page 386 in your math textbook and write the definitions onto your student-built glossary for the “New Vocabulary”. • lateral face • lateral surface area • total surface area

  7. Standard 7MG2.1 Use formulas routinely for finding the perimeter and area of basic two-dimensional figures and the surface area and volume of basic three-dimensional figures, including rectangles, parallelograms, trapezoids, squares, triangles, circles, prisms, and cylinders. Standard 7MG3.5 Construct two-dimensional patterns for three-dimensional models, such as cylinders, prisms, and cones.

  8. Team Challenge Take out the clear plastic rectangular prism at your table. 2) Your task is to determine the amount of material needed to completely cover the prism. 3) When measuring, use centimeters and millimeters. 4) Write down each step you take on a response board.

  9. Surface Areas of a Prism Find the lateral and total surface area of the rectangular prism. Perimeter of Base Area of Base P = 2ℓ + 2w B = ℓw P = 2(15) + 2(9) or 48 B = 15(9) or 135

  10. Surface Areas of a Prism Use this information to find the lateral and total surface area. Lateral Surface Area Total Surface Area L = Ph S = L + 2B L = 48(7) or 336 S = 336 + 2(135) or 606 Answer: The lateral surface area is 336 square millimeters, and the total surface area is 606 square millimeters.

  11. Find the total surface area of the rectangular prism. • A • B • C • D A. 112 cm2 B. 126 cm2 C. 130 cm2 D. 142 cm2

  12. Surface Areas of a Prism CAMPING A family wants to reinforce the fabric of its tent with a waterproofing treatment. Find the total surface area, including the floor, of the tent below. A triangular prism consists of two congruent triangular faces and three rectangular faces.

  13. Surface Areas of a Prism Draw and label a net of this prism. Find the area of each face. bottom 5 ● 5.8 = 29 left side 6.3 ● 5.8 = 36.54 right side 6.3 ● 5.8 = 36.54 two bases Add to find the total surface area. 29 + 36.54 + 36.54 + 29 = 131.08 Answer: The surface area of the tent is about 131.1 square feet.

  14. DECORATING Julia is painting triangular prisms to use as decoration in her garden. Find the surface area of the prism. • A • B • C • D A. 85.5 in2 B. 90.2 in2 C. 93.1 in2 D. 108.4 in2

  15. L = πdh S = πdh + 2πr2

  16. Surface Areas of Cylinders Find the lateral area and the surface area of the cylinder. Round to the nearest tenth. Lateral Surface Area Total Surface Area L = πdh L = (3.14) (5) (2) Answer: The lateral surface area is about 31.4 square meters, and the total surface area is about 70.7 square meters.

  17. Find the total surface area of the cylinder. Round to the nearest tenth. • A • B • C • D A. 176.4 mm2 B. 188.7 mm2 C.207.2 mm2 D. 245.1 mm2

  18. Surface Areas of Cylinders LABELSFind the area of the label on the can of juice. Round to the nearest tenth. Since the label covers the lateral surface of the can, you only need to find the can’s lateral surface area.

  19. 113.0 Surface Areas of Cylinders Estimate L = πdh L = (3.14) (4.5) (8) d = 4.5; h = 8 Answer: The area of the label is about 113.0 square inches.

  20. LABELS Find the lateral area of the label on the can of juice. Round to the nearest tenth. • A • B • C • D A. 132.9 in2 B.155.4 in2 C. 164.4 in2 D. 185.2 in2

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