11.4 Volumes of Prisms and Cylinders

Slides:

Advertisements

Similar presentations

Volume of Rectangular and Triangular Prisms

Advertisements

Volumes of Rectangular Prisms and Cylinders Lesson 9-9.

Sec. 11 – 4 Volumes of Prisms & Cylinders Objectives: 1) To find the volume of a prism. 2) To find the volume of a cylinder.

Volumes of Prisms & Cylinders Volumes of Prisms & Cylinders Objectives: 1) To find the volume of a prism. 2) To find the volume of a cylinder.

10.7 Volume of Prisms I can find the volume in rectangular and triangular prisms.

11-4 Volumes of Prisms and Cylinders. Exploring Volume The volume of a solid is the number of cubic units contained in its interior. Volume is measured.

Volume: Prisms and Cylinders

10 m² 4 m =5 m( A = 5 m. The same formula (V = Bh) that is used to find the volume of rectangular prisms and cylinders, can also be used to find the volume.

Volume of Prisms 1) Defining Volume 2) Volume = lwh 3) Volume = Bh Created by: David W. Cummins.

Do Now /30/ B Volume of Prisms.

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

Objectives  Find volumes of prisms.  Find volumes of cylinders.

Volumes of Prisms and Cylinders Volumes of Prisms Volume is the space that a figure occupies. It is measured in cubic units. How many cubic feet.

Volume Prisms and Cylinders Lesson Volume of a solid is the number of cubic units of space contained by the solid. The volume of a right rectangular.

Volume of Rectangular Prisms

Volume of Triangular Prisms

9-6 Volume of Prisms Warm Up Find the area of each figure. Use 3.14 for . 96 in ft 2 1. rectangle with base length 8 in. and height 12 in. 2.

A sphere is the set of all points that are a given distance from a given point, the center. To calculate volume of a sphere, use the formula in the blue.

Chapter 11.4 Volumes of Prisms and Cylinders. Vocabulary Volume = the space that a figure occupies. It is measured in cubic units.

Rectangular Prisms and Cylinders

Volume word problems Part 2.

Volume McNeely. What is it? The amount of space occupied by a 3-d figure. How much a 3-d figure will hold.

+ Volume of Prisms Defining Volume 1) Volume = length x width x height 2) Volume = Base x height. Miss Hudson’s Maths.

Chapter Volume of Prisms and Cylinders Volume of a Solid The number of cubic units contained in the solid Measured in cubic units such as m 3.

7.3 Volume of Prisms and Cylinders

By Nathan Critchfield and Ben Tidwell. Objectives  Find volumes of prisms.  Find volumes of cylinders.

13.1 Volumes of Prisms and Cylinders Presented by Christina Thomas and Kyleelee.

Volume of Prisms and Cylinders Volume = (Area of base)(Height) The volume of a 3-dimensional figure is the measure of space it occupies. It is measured.

Volume of Prisms and Cylinders. Volume – The volume of a figure is the measure of the amount of space that a figure encloses. Volume is measured in cubic.

Volume of prisms and cylinders

Volume: Prisms and Cylinders

Section 10.7 – Volume: Prisms and Cylinders pages

Volume of Rectangular Prisms and Cylinders. Question 1 What is volume? * the number of cubic units needed to fill the space inside a figure.

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.

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.

Sec. 11 – 4 Volumes of Prisms & Cylinders Objectives: 1) To find the volume of a prism. 2) To find the volume of a cylinder.

Volume SPI I CAN find the volume of a PRISM and a CYLINDER.

Volume of Rectangular Prisms EQ: How do you find the volume of rectangular prisms?

Volume of Prisms and Cylinders Algebra 2 1/18/2012.

11-4 Volumes of Prisms and Cylinders. Rotation, Length, Area There are four different types of measurement in geometry. Three of these are… ROTATION:

Find the volume of the box by determining

Volumes of Prisms & Cylinders

Volume of Rectangular Prisms

Volumes of Rectangular Prisms and Cylinders

Volume Any solid figure can be filled completely with congruent cubes and parts of cubes. The volume of a solid is the number of cubes it can hold. Each.

Volume of Rectangular and Triangular Prisms

Chapter 11.4 Volumes of Prisms and Cylinders

1) Defining Volume 2) Volume = lwh 3) Volume = Bh

1) Defining Volume 2) Volume = lwh 3) Volume = Bh

10.4 Volumes of Prisms & Cylinders

1) Defining Volume 2) Volume = lwh 3) Volume = Bh

Volumes of Rectangular Prisms and Cylinders

Volume of Rectangular and Triangular Prisms

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

Volume of Prisms and Cylinders Lesson 12.4

1) Defining Volume 2) Volume = lwh 3) Volume = Bh

The volume of a three-dimensional figure is the number of cubes it can hold. Each cube represents a unit of measure called a cubic unit.

IMAGINE Find the area of the base, B, times the height

Volume of Rectangular and Triangular Prisms

Volume of Rectangular and Triangular Prisms

1) Defining Volume 2) Volume = lwh 3) Volume = Bh

1 cm 1 cm 1 cm.

volume of prisms and cylinders

Who do you think got more popcorn for $4.00? What is your evidence?

1) Defining Volume 2) Volume = lwh 3) Volume = Bh

volume of prisms and cylinders

10-5 Volumes of Prisms and Cylinders

Presentation transcript:

11.4 Volumes of Prisms and Cylinders Volume is the space a figure occupies. Measured in cubic units. Volume of a cube: V = s3 Cavalieri’s Principle If two space figures have the same height and the same cross-sectional area at every level, then they have the same volume.

Volume of a Prism The volume of a prism is the product of the area of the base and the height of the prism. V = Bh

Finding the Volume of a Rectangular Prism What is the volume of the Rectangular Prism? V = Bh V = (24)(20)(10) V = 480 (10) V = 4800 cm3

Finding the Volume of a Triangular Prism What is the approximate volume of the triangular prism?

Volume of a Cylinder The volume of a cylinder is the product of the base and the height of the cylinder.

Finding the Volume of a Cylinder What is the volume of the cylinder in terms of pi?

More Practice!!!!! Homework – Textbook p. 721 # 6 – 16 ALL.