Volume and Surface Area Problems

Slides:

Advertisements

Similar presentations

Volume of Pyramids, Cones & Spheres Return to table of contents.

Advertisements

Volume of a Cylinder and Cone Today we will answer the very important question …. Which holds more ice cream; a small cup or a cone? Predictions?

10-5 and 10-6 Volumes of Prisms, Cylinders, Pyramids, and Cones

Volume of Cones and Pyramids

 A cylinder has two identical flat ends that are circular and one curved side.  Volume is the amount of space inside a shape, measured in cubic units.

8-7 Surface Area of Prisms and Cylinders Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Math-8 NOTES DATE: ______/_______/_______ What: applying Volume... Why: To investigate a variety of different types of volume applications, including real-

MFM1P Minds On Determine the volume of: a) This square based pyramid b) This triangular based pyramid.

How do you think through and answer a real world problem involving cones? For example: A conical glass flower vase has a base that is 6 inches in diameter.

What is Volume? Next V = 1/3 πr 2 V = 4/3πr 3.

EXAMPLE 4 Solve a multi-step problem

Spheres and Cylinders Volume. A sphere is made out of clay and is placed in a cylinder. The diameter of the sphere is the same as the height and diameter.

8-6 Volume of Pyramids and Cones Course 3. Warm Up A cylinder has a height of 4.2 m and a diameter of 0.6 m. To the nearest tenth of a cubic meter,

Volumes of Pyramids & Cones Objectives: 1) Find the volume of a right Pyramid. 2) Find the volume of right Cone.

What is a cylinder? A cylinder is a three-dimensional shape that has two identical circular bases connected by a curved surface. Radius Circumference.

10-8 Spheres Holt Geometry.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Volume of Figures With 2 Bases Lesson 8.3A Standards: M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume)

Three- Dimensional Figures Volume of.

04/26/11 Changing Dimensions Today’s Plan: -Warm up -Changing Dimensions -Assignment LT: I will describe how increasing or decreasing a measurement will.

Our learning goal is to be able to solve for perimeter, area and volume. Learning Goal Assignments 1.Perimeter and Area of Rectangles and Parallelograms.

December Volume of Pyramids and Cones You will need: Math Notes

Lesson 8.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving.

6-7 Volume of Pyramids and Cones Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Section 10.9 – Volume: Pyramids, Cones, and Spheres

Volume of Pyramids and Cones

Volume & Surface Area MATH 102 Contemporary Math S. Rook.

Volume of Pyramids and Cones 9-6 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

Volume of Spheres, Day 2. Warm Up All cross sections of a sphere are circles and all points on the surface of a sphere lie at the same distance, called.

Surface Area of Prisms and Cylinders 9-7 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.

1 The width, height, and length of a box or rectangular prism can be different. If all three are the same, then the box is a cube. Rectangular Prism The.

Similar Solids Lesson Draw and label two circles that are similar. Identify their scale factor. 2. Draw two rectangles that are similar. Identify.

Geometry 20/21 March 2013 Warm Up A sphere has a surface area of 16π cm 2. The volume of the sphere is: a. 8π/3 cm 3 b. 32π/3 cm 3 c. 64π/3 cm 3 d. 256π/3.

Volume of prisms and cylinders

Find the volume of this cylinder 4 cm 3 cm Find the VOLUME of this prism 6 m 10 m.

GEOMETRY HELP Find the volume of a square pyramid with base edges 15 cm and height 22 cm. Because the base is a square, B = = 225. V = BhUse the.

Volume of a Sphere Objective: To solve problems involving volumes of spheres and hemispheres.

11/21/ : Surface Area and Volume of Spheres 7.6: Surface Area and Volume of a Sphere Expectation: G1.8.1: Solve multistep problems involving surface.

VOLUME OF SPHERES.

Find lateral areas of cones. Find surface areas of cones.

Volume of Pyramids & Cones

MAGNETS! S URFACE A REA V OLUME WOOOOOOO!!!! Chapter 11 Review Updated: 2015.

Volume of 3D Solids. Volume The number of cubic units needed to fill the shape. Find the volume of this prism by counting how many cubes tall, long, and.

Students will be able to solve for perimeter, area and volume by….

Objective: To find the Volume & Surface Area of cones and cylinders.

Volume of Pyramids and Cones

How do you find the volume of a cone?

More Practice / Review Return to table of contents.

Volume of Boxlike Shapes: V = lwh. Example Find the volume 6m 4m 2m.

V = п r 2 h # 1. The volume of a cylinder is 765 in 3. The formula for volume of a cylinder is V = п r 2 h. Find the radius if the height is 4 inches.

Back to menu Final jeopardy question PrismsCylindersPyramidsConesSpheres

) Find the surface area of this rectangular prism. 2) Find the volume of this rectangular prism.

SOLIDS & VOLUME Common 3D Shapes sphere cuboid cylinder cube cone.

Course Volume of Prisms and Cylinders 10-2 Volume of Prisms and Cylinders Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson.

Chapter 10 Lesson 6 Objective: To find the volume of a pyramid and a cone.

Chapter 10 Lesson 6 Objective: To find the volume of a cone.

3/17/ : Surface Area and Volume of Cones Expectation: G1.8.1: Solve multistep problems involving surface area and volume of pyramids, prisms, cones,

How to find the volume of a prism, cylinder, pyramid, cone, and sphere. Chapter (Volume)GeometryStandard/Goal 2.2.

Date: 12.6 Notes: Spheres Lesson Objective: Find the surface area volume of spheres. CCSS: G.GMD.1, 3 You will need: calculator Real-World App: What was.

Volume and Surface Area of Prisms and Cylinders Per. Names: Date: 2/26/16.

Math CC7/8 – Mar. 3 Math Notebook:

Volume of Cylinders Answers use 3.14 for π.

8-7 Surface Area of Prisms and Cylinders Warm Up Problem of the Day

Cones, Pyramids and Spheres

Volume of Cones Teacher Twins©2014.

8-7 Surface Area of Prisms and Cylinders Warm Up Problem of the Day

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Volume of Pyramids, Cones & Spheres

Presentation transcript:

Volume and Surface Area Problems

Minds On Take a model cube and a model square-based pyramid and pass it around the class. Ask students to write down how they are alike and how they are different. Next, put the square based pyramid on top of the cube. Show it and ask how many surfaces there are. Why is it not 6 + 5 = 11? Explore this with the class. Do the same with: 1. A rectangular prism and a triangular prism 2. Two cylinders

Lesson 4 – Volume and Surface Area Problems Have students work in partners to complete this problem. Optional: Have the pairs present their solution to the class. The door of the silo has dimensions of 3 m wide by 5 m tall. The door of the barn-house has dimensions of 5 m wide by 4 m tall.

Lesson 4 – Volume and Surface Area Problems Determine the volume of ice-cream if the diameter of the scoop is 10 cm and the height of the cone is 20 cm. What possible assumptions are made when solving this problem? Solve as a class

Lesson 4 – Volume and Surface Area Problems Determine the volume of medicine that will fill the following capsule. What possible assumptions are made when solving this problem? Solve as a class

Lesson 4 – Volume and Surface Area Problems Determine the volume of cake that is surrounding the cream filling. 4 in Solve as a class Radius = 0.5 in 1 in