Volume of Composite Figures

Slides:

Advertisements

Similar presentations

 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.

Advertisements

Geometric Solids EQ: What are the most common types of solids, what are cross sections and solids of revolution?

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

Area of Parallelograms, Trapezoids, and Graphed Shapes Lesson 7.3A M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface.

Volume of a Cylinder, Cone, and Sphere

Warm-up Get out homework. Agenda Review Homework Continue Chapter 11 Homework.

Developing the Formula for the Volume of a Sphere.

Volume of Cylinders, Cones, and Spheres. Warm Up: Find the area of: A circle with a radius of 3cm. A rectangle with side lengths of 4ft and 7ft. A square.

8.3 Volume Objectives: To find the volume of a right prism. To find the volume of a right cylinder. To find the volume of a pyramid. To find the volume.

10-8 Areas and Volumes of Similar Solids

12-5 and 12-6 Volumes of Prisms, Cylinders, Pyramids, and Cones Objective – Find the volumes of prisms, cylinders, pyramids, and cones.

VOLUME OF CYLINDERS AND CONES. WARM UP Take a few minutes to write down what you know about volume.

Skills Check Skills Check Volume of Prisms & Pyramids.

 Cone: a solid with one base that is a circle, and a curved, smooth lateral surface that comes to a point, the apex. No, because it has a curved lateral.

Volume of Cylinders and Cones What is the difference in volume between cylinders and cones with the same area bases and same height? How do you find the.

Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure –Answer must be in cubic units ex. in 3.

12-3: Volumes of Prisms and Cylinders. V OLUME : the measurement of space within a solid figure Volume is measured in cubic units The volume of a prism.

Lateral Surface Area Lateral Surface Area is the surface area of the solid’s lateral faces without the base(s).

REVIEW OF VOLUME LESSON 26(2).

Warm up Find the Volume. Round to the nearest tenths.

VOLUME OF A SOLID. VOLUME OF A PRISM OR CYLINDER V = Bh Where B is the area of the base and h is the height of the solid.

VOLUME OF CYLINDERS AND CONES DAY TWO. EOG Warm up: Monday, March 2, Write the linear equation passing through points (7,-11) and (3,-3). 2. Find.

10.6 Surface Area & Volume of Spheres

Volumes of Cylinders and Cones

Warm up Find the Volume. Round to the nearest tenths.

11 – 5 Volumes of Pyramids & Cones

The real world of Composite solids.

Surface area and volume of composite figures Geometric probability

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.

Surface Area of Composite Solids Outcome: D8 Measure and calculate volumes and surface areas of composite 3-D shapes Math 8 Ms Stewart.

Areas and Volumes of Similar Solids

Volume of Pyramids, Cones & Spheres

VOLUME OF CYLINDERS AND CONES

Chapter 12 Area and Volume.

Volume of a Cylinder, Cone, and Sphere

DO NOW Homework: Geometry Review worksheet

Chapter 8 Volume.

Volume of Cones Teacher Twins©2014.

Volume of solids.

Example Find the volume for each of the following pyramids (i)

Chapter 12 Extra Review Round everything to the nearest tenth. To find the solutions. Either remove the textbox over the answer or review the PowerPoint.

Find the surface area of the figure.

The real world of Composite solids.

Warm up Find the Volume. Round to the nearest tenths.

5.6 Surface Area of 3D Figures

Unit 2 Volume and Review.

Surface Area and Volume

12.3 Surface Areas of Circular Solids

Volume of Pyramids, Cones & Spheres

Warm-Up #4 Review 2/6 odd AND 2/7even

Given that they are equivalent, what is the diameter of the sphere?

Volume of Prisms.

Decomposable Solids.

10-5 and 10-6 Volume (Prisms, Cylinders, Pyramids, and Cones

Unit 4D:2-3 Dimensional Shapes

Unit 3: Geometric Applications of Exponents

bell ringer What shape is the base of a cube? Sides?

Lesson: 12 – 2 Surface Areas of Prisms & Cylinders

11.3 Pyramids and Cones.

Cylinders, Cones, Pyramids and Spheres

Volume of Pyramids and Cones

bell ringer What shape is the base of a cube? Sides?

9.4 – Perimeter, Area, and Circumference

Unit 3: Geometric Applications of Exponents

Cylinders, Cones, Pyramids and Spheres

Presentation transcript:

Volume of Composite Figures

Homework (11/4/16) Worksheet: Volume of a Cylinder, Cone, and Sphere Word Problems

Homework Solutions

What is a composite figure? Basic shapes added together One shape subtracted from another A shape that is truncated (slice)

Volume of Composite shape https://www.youtube.com/watch?v=znDQN8iJyEw https://www.youtube.com/watch?v=bolTauMy4B4 https://www.youtube.com/watch?v=0HRpN7WMQHU

Stand Quietly

Warm-Up #31 (11/7/16) Find the radius of the sphere if you know the volume is 972𝜋 𝑖𝑛 3 . Find the height of height of the cone if you know the volume is 225𝜋 𝑐𝑚 3 and the radius is 5 cm.

Homework (11/7/16) Worksheet: Volume of Composite Solids

Homework Solutions 8100𝜋 𝑖𝑛 3 𝑜𝑟 𝑎𝑏𝑜𝑢𝑡 25434 𝑖𝑛 3 8100𝜋 𝑖𝑛 3 𝑜𝑟 𝑎𝑏𝑜𝑢𝑡 25434 𝑖𝑛 3 168.2𝜋 𝑐𝑚 3 𝑜𝑟 𝑎𝑏𝑜𝑢𝑡 528.148 𝑐𝑚 3 4.5𝜋 𝑐𝑚 3 𝑜𝑟 𝑎𝑏𝑜𝑢𝑡 14.13 𝑐𝑚 3 704 𝜋 𝑢𝑛𝑖𝑡𝑠 3 7776𝜋 𝑢𝑛𝑖𝑡𝑠 3 𝑜𝑟 𝑎𝑏𝑜𝑢𝑡 24416.64 𝑢𝑛𝑖𝑡𝑠 3 120 3 𝜋 𝑢𝑛𝑖𝑡𝑠 3

Finding volume of composite solid by subtracting https://www.youtube.com/watch?v=4y-sIP1C69I https://www.youtube.com/watch?v=1qVUkF_cqM4