Unit 6: Geometry Lesson 7: Volume and Surface Area Learning Goal I can determine the volume for various prisms, pyramids, cylinders, cones, and spheres
Unit 6: Geometry Lesson 7: Volume and Surface Area Learning Goal I can determine the volume for various prisms, pyramids, cylinders, cones, and spheres.
Dec 24, 2015
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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
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
Unit 6: Geometry
Cylinder: A three dimensional solid with two circular faces that are parallel and identical.
V = area of base X height OrV =
Lesson 7: Volume and Surface Area
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
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.
V = the volume of a prism with the same measurementsORV = ORV =
Lesson 7: Volume and Surface Area
Unit 6: Geometry
Cone: A cone is a 3D solid that has a circular base and ends in a tip.
V = the volume of a cylinder with the same dimensions
V = X area of base X height(not side length)ORV =
Lesson 7: Volume and Surface Area
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!)
V = the volume of a cylinder with the same radius and heightORV = ORV =
Lesson 7: Volume and Surface Area
Unit 6: Geometry
Example 1: Find the volume
Lesson 7: Volume and Surface Area
Unit 6: Geometry
Example 2: Find the volume
Lesson 7: Volume and Surface Area
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
Unit 6: Geometry
PrismSA = 2(area of base) + (perimeter of base X height)
Lesson 7: Volume and Surface Area
Unit 6: Geometry
CylinderSA = 2(area of base) + (circumference of base X height)
SA = 2
Lesson 7: Volume and Surface Area
Unit 6: Geometry
Square Based PyramidSA = (area of base) + 4(area of a triangle)
SA = (base squared) + 4(X height)
SA = b2 + 2bs
Lesson 7: Volume and Surface Area
Unit 6: Geometry
Cone
SA = (area of base) + (half the perimeter of base X slant height)
SA = r = radiuss = slant height
(s)
Lesson 7: Volume and Surface Area
Unit 6: Geometry
SphereSA = 4
Lesson 7: Volume and Surface Area
Unit 6: Geometry
Example 3: Find the Surface Area
Lesson 7: Volume and Surface Area
Unit 6: Geometry
Example 4: Find the Surface Area of a sphere with a diameter of 12cm.
Lesson 7: Volume and Surface Area
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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