Objectives Learn and apply the formula for the volume of a prism.

Slides:

Advertisements

Similar presentations

Volume of Prisms and Cylinders

Advertisements

Geometry Volume of Prisms and Cylinders

Surface area and Volumes of Prisms

Volume of Prisms & Cylinders Section Volume The space a figure occupies measured in cubic units (in 3, ft 3, cm 3 )

Volume of a pyramid and a cone

Volume of Pyramids and Cones

Volume of Prisms and Cylinders

Objectives Learn and apply the formula for the volume of a pyramid.

Volume of Pyramids and Cones

Volume of Pyramids and Cones

12-5 Volume of Pyramids and Cones Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

Volume of Pyramids and Cones

Holt Geometry 10-6 Volume of Prisms and Cylinders 10-6 Volume of Prisms and Cylinders Holt Geometry.

Volume of Prisms and Cylinders

Holt Geometry 10-6 Volume of Prisms and Cylinders Warm Up Find the area of each figure. Round to the nearest tenth. 1. an equilateral triangle with edge.

Holt Geometry 10-6 Volume of Prisms and Cylinders 10-6 Volume of Prisms and Cylinders Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

11.2 and 11.4: Prisms and Cylinders

Holt Geometry 10-6 Volume of Prisms and Cylinders Warm Up Find the area of each figure. Round to the nearest tenth. 1. an equilateral triangle with edge.

Holt McDougal Geometry 10-6 Volume of Prisms and Cylinders 10-6 Volume of Prisms and Cylinders Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.

Warm Up Find the perimeter and area of each polygon. 1. a rectangle with base 14 cm and height 9 cm 2. a right triangle with 9 cm and 12 cm legs 3. an.

11.6 Volume of Pyramids & Cones Learn and apply the formula for the volume of a pyramid. Learn and apply the formula for the volume of a cone.

Learn and apply the formula for the surface area and volume of a prism. Learn and apply the formula for the surface area and volume of a cylinder. Objectives.

Holt Geometry The volume of a three-dimensional figure is ___________________________________________ ___________________________________________. Cavalieri.

Entry Task. Hmwk Answers Group task Bond owns a manufacturing company where he ships sugar cubes. A sugar cube has a side length of 1 cm. Bond has two.

 TEKS: G2B, G3B, G6B, G8D, G11D  The student will make conjectures about 3-D figures and determine the validity using a variety of approaches.  The.

Holt McDougal Geometry 10-6 Volume of Prisms and Cylinders Toolbox Pg. 701 (13-24; 39 why 4 )

Warm Up Find the perimeter and area of each polygon.

Volume of Pyramids and Cones

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

11.2 Volumes of Prisms and Cylinders

Objectives Learn and apply the formula for the volume of a pyramid.

11.6 / 11.7: Volumes of Pyramids and Cones

Volume of Prisms and Cylinders

Volume of Prisms and Cylinders

Volume of Prisms and Cylinders

Warm Up Find the volume of each figure. Round to the nearest tenth, if necessary. 1. a square prism with base area 189 ft2 and height 21 ft 2. a regular.

Volume of Pyramids and Cones

Volume of Prisms and Cylinders

Volume of Pyramids and Cones

Vocabulary Volume The volume of a three-dimensional figure is the number of nonoverlapping unit cubes of a given size that will exactly fill the interior.

Turkey Parts Unit 11 Review.

Math Humor What happened to the 3D figure who robbed a bank? He got sent to prism.

Objectives Learn and apply the formula for the volume of a pyramid.

Volume of Pyramids and Cones

10-6 Volume of Prisms & Cylinders

Volume of Pyramids and Cones

Volume of Prisms and Cylinders

Volume of Prisms and Cylinders

DO NOW Homework: 10-5 Practice ODD and #8

Objectives Learn and apply the formula for the volume of a prism.

10.6 Volume of Prisms and Cylinders

Volume of Pyramids and Cones

Volume of Pyramids and Cones

Volume of Pyramids and Cones

Objective: To find the volume of a prism and a cylinder.

Volume of Pyramids and Cones

Volume of Prisms and Cylinders

Volume of Pyramids and Cones

Volume of Pyramids and Cones

Volume of Prisms and Cylinders

Volume of Prisms and Cylinders

Volume of Pyramids and Cones

Essential Question L11-2 How do you use the formula for the volume of a prism? How do you use the formula for the volume of a cylinder? Essential Vocabulary:

Volume of Prisms and Cylinders

Volume of Pyramids and Cones

Area Surface Area Volume

1 cm 1 cm 1 cm.

Volume of Prisms and Cylinders

Volume of Pyramids and Cones

Presentation transcript:

Objectives Learn and apply the formula for the volume of a prism. Learn and apply the formula for the volume of a cylinder.

Example 1A: Finding Volumes of Prisms Find the volume of the prism. Round to the nearest tenth, if necessary.

Example 1B: Finding Volumes of Prisms Find the volume of the right regular hexagonal prism. Round to the nearest tenth, if necessary.

Example 1C Find the volume of a triangular prism with a height of 9 yd whose base is a right triangle with legs 7 yd and 5 yd long.

Cavalieri’s principle also relates to cylinders. The two stacks have the same number of CDs, so they have the same volume.

Example 2A: Finding Volumes of Cylinders Find the volume of the cylinder. Give your answers in terms of  and rounded to the nearest tenth.

Example 2B: Finding Volumes of Cylinders Find the volume of a cylinder with base area 121 cm2 and a height equal to twice the radius. Give your answer in terms of  and rounded to the nearest tenth.

Example 3: Finding Volumes of Composite Three-Dimensional Figures Find the volume of the composite figure. Round to the nearest tenth. The volume of the rectangular prism is: V = ℓwh = (8)(4)(5) = 160 cm3 The base area of the regular triangular prism is: The volume of the regular triangular prism is: The total volume of the figure is the sum of the volumes.