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Unit 6: Geometry Lesson 7: Volume and Surface Area Learning Goal  I can determine the volume for various prisms, pyramids, cylinders, cones, and spheres.

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Presentation on theme: "Unit 6: Geometry Lesson 7: Volume and Surface Area Learning Goal  I can determine the volume for various prisms, pyramids, cylinders, cones, and spheres."— Presentation transcript:

1 Unit 6: Geometry Lesson 7: Volume and Surface Area Learning Goal  I can determine the volume for various prisms, pyramids, cylinders, cones, and spheres

2 Unit 6: Geometry Prism: A three dimensional solid with two polygon shaped faces that are parallel and identical. The remaining sides are rectangular. V = area of base X height Lesson 7: Volume and Surface Area

3 Unit 6: Geometry Cylinder: A three dimensional solid with two circular faces that are parallel and identical. Lesson 7: Volume and Surface Area

4 Unit 6: Geometry Pyramid:A pyramid is a 3D solid that has a polygon base and no top. The sides are triangular and meet at a point. It takes the volume of three pyramids to make a prism with the same base and height. SO… Lesson 7: Volume and Surface Area

5 Unit 6: Geometry Pyramid:A pyramid is a 3D solid that has a polygon base and no top. The sides are triangular and meet at a point. Lesson 7: Volume and Surface Area

6 Unit 6: Geometry Cone: A cone is a 3D solid that has a circular base and ends in a tip. Lesson 7: Volume and Surface Area

7 Unit 6: Geometry Sphere: A sphere is a 3D solid that has every point on its surface a distance of r away from its center. (Looks like a ball!) Lesson 7: Volume and Surface Area

8 Unit 6: Geometry Example 1: Find the volume Lesson 7: Volume and Surface Area

9 Unit 6: Geometry Example 2: Find the volume Lesson 7: Volume and Surface Area

10 Unit 6: Geometry What is Surface Area? Surface area is the total area of the faces and curved surfaces of a solid figure. Lesson 7: Volume and Surface Area

11 Unit 6: Geometry Prism SA = 2(area of base) + (perimeter of base X height) Lesson 7: Volume and Surface Area

12 Unit 6: Geometry Cylinder Lesson 7: Volume and Surface Area

13 Unit 6: Geometry Square Based Pyramid Lesson 7: Volume and Surface Area

14 Unit 6: Geometry Cone (s) Lesson 7: Volume and Surface Area

15 Unit 6: Geometry Sphere Lesson 7: Volume and Surface Area

16 Unit 6: Geometry Example 3: Find the Surface Area Lesson 7: Volume and Surface Area

17 Unit 6: Geometry Example 4: Find the Surface Area of a sphere with a diameter of 12cm. Lesson 7: Volume and Surface Area

18 Unit 6: Geometry Practice  Page 413 Q# 2, 3ab, 6, 9  Page 421 Q# 2ad, 8, 9, 13  Page 427 Q# 1c, 2, 10, 14  Page 433 Q# 2ac, 6, 10  Page 439 Q# 10a, 11d, 5, 7  Page 445 Q# 1a, 2c, 3ab, 4, 11 Lesson 7: Volume and Surface Area


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