volume of prisms and cylinders objective: be able to work out the volume of a prism and a cylinder

Volume of prisms and cylinders Objective: Be able to work out the volume of a prism and a cylinder.

Upload: elwin-carroll

Post on 05-Jan-2016

212 views

Category:

Documents

0 download

Report

Download

Embed Size (px):

TRANSCRIPT

Volume of prisms and cylinders

Objective: Be able to work out the volume of a prism and a cylinder.

Volume of a prism

• the volume of a rectangular prism is:

length

width

height

Volume = length x width x height

Volume of a prism

• What is the volume of a rectangular prism with dimensions 10 cm, 8 cm and 5 cm.

Area of Base= 10 cm x 8 cm = 80 cm2

5 cm

10 cm8 cm

Page 4: Volume of prisms and cylinders Objective: Be able to work out the volume of a prism and a cylinder

Volume of a cylinder

• Volume of a cylinder is the area of the cross-section times the height

Height h

Volume of cylinder = πr2h

Radius r

Page 5: Volume of prisms and cylinders Objective: Be able to work out the volume of a prism and a cylinder

Find the volume of a cylinder with radius 10 cm and height 20 cm

Area of base = πr2= π x 102= π x 100= 100 π cm2

Height 20cm

Volume of cylinder = π r2h

= π x 100 x 20

= 2000 π cm3

Radius 10cm

Volume of prism = B x height

Page 6: Volume of prisms and cylinders Objective: Be able to work out the volume of a prism and a cylinder

Find the volume of this prismSince the base is a triangle,

B=½ b h

B = ½ x 5 x 4

= 10 cm2

4cm

5cm

Volume of prism = 10 x 14

= 140 cm3

14cm

Volume of prism = B x height of the prism

Page 7: Volume of prisms and cylinders Objective: Be able to work out the volume of a prism and a cylinder

Find the volume of this prism

The base is a parallelogram

B = 6 x 7

= 42 cm2

7cm

6cm

Volume of prism = 42 x 15

= 630 cm3

15cm

Volume of prism = B x height of the prism

Volume Prisms and Cylinders. Volume of a Prism A prism is a solid object with: identical ends flat sides and the same Cross Section all along its length

SM-1 Pre-check Name Circles and Prisms · Pre-check Name _____ Circles and Prisms ... Surface Area of a rectangular prism ... Find the surface area and volume of your prism

1B_Ch7(1). 7.2Surface Areas and Volumes of Prisms A What is a Prism? Index 1B_Ch7(2) B Total Surface Areas of Prisms C Volumes of Prisms

Volume of Prisms - MATH Department · Find the volume of the triangular prism shown. The area of the triangle is replace B with .6-8. 8, so v: 216 8 Volume of a prism Replace B with

Volume - Prisms and Pyramids.notebook · PRISMS AND PYRAMIDS Unit 5: Circles: Segments and Volume . A p PLY Thus if I told you the volume of the above cube (a square prism) is 51

Prism Catalog _ Prisms

REFLECTING PRISMS - · PDF fileSOKKIJ\ REFLECTING PRISMS L For the ultima te in accuracy and versatility in fjeld applications AP Series Compact Prism Mini Prisms Retlecting prisms

8.4 Volumes of Rectangular Prisms · 374 Chapter 8 Surface Area and Volume 8.4 Volumes of Rectangular Prisms How can you ﬁ nd the volume of a rectangular prism with fractional edge

Lecture 16 Prisms EXAM Next week. Prism Angles

9.4 Volumes of Prisms - Edl Chapter 9 Surface Area and Volume 9.4 Volumes of Prisms 1 cm 120 cm 60 cm 60 cm How can you ﬁ nd the volume of a prism? Work with a partner. A treasure

8.4 Volumes of Rectangular Prisms - Big Ideas Math Chapter 8 Surface Area and Volume 8.4 Volumes of Rectangular Prisms How can you ﬁ nd the volume of a rectangular prism with fractional

1 Standards 8, 10, 11 Classifying Solids PROBLEM 1PROBLEM 2 PROBLEM 3 Parts of a Prism Classifying Prisms Surface Area of Prisms Volume of a Right Prism

Objective: To develop and use a formula for the volume of a rectangular prism Volume of Rectangular Prisms

10.7 Volume of Prisms

Volume of Prisms and Cylinders Continueddupreemath.weebly.com/uploads/2/2/9/0/22909228/12... · Volume of Prisms and Cylinders Continued. Refresher: Volume of Prism: Volume of Cylinder:

VOLUME OF PRISMS. LESSON 6.3 RECALL VOLUME OF A RECTANGULAR PRISM: V = lwh sometimes “B” is used for lw in the example V = Bh. Both are the same

U8 L9 Volume of Prisms and Cylinders Lesson.notebook · 2019-04-11 · U8 L9 Volume of Prisms and Cylinders Lesson.notebook A rectangular prism shaped box has a length of 14 inches,

Geometry 12.4 Volume of Prisms and Cylinders. Geometry 12.4 Volume of Prisms and Cylinders2 Monday, May 5, 2:51 Goals Find the volume of prisms. Find

Volume of Rectangular Prisms - Everyday Math · PDF filePractice EM Facts Workshop ... Analyzing Prism Nets for Cubes Math Masters, pp. 280 and 429 ... LESSON9 Volume of Rectangular

The Sphere The Cone Any Prisms Volume of Solids Composite Prisms

Surface Area of Prisms & Cylinders - Weebly · Surface Area of Prisms & Cylinders Triangular Prism Rectangular Prism Cylinder. Surface Area of Prisms Rectangular Prism Triangular

Today’s Lesson: What: volume of prisms and cylinders Why: To calculate the volume of both rectangular prisms and cylinders. What: volume of prisms and

11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral

1010-6-6Volume of Prisms and Cylinders Volume of Prisms ...10-6Volume of Prisms and Cylinders Example 1C: Finding Volumes of Prisms Find the volume of the right regular hexagonal prism

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

10-5 Volumes of Prisms and Cylinders To find the volume of a prism and the volume of a cylinder. In solving for volume of prisms and cylinders, students

9.4 Volume of Prisms and CylindersFind the volume of the prism. 1. 2. 3. 7 in. 10 in. 7 in. 5 cm 5 cm 5 cm 6 ft 4 ft 9 ft 9.4 Volume of Prisms and Cylinders 501 STUDY TIP Because you

8.1 Prisms, Area and Volume Prism – 2 congruent polygons lie in parallel planes –corresponding sides are parallel. –corresponding vertices are connected

5E Lesson Plan - Volume of Prisms (12.2) - Teaching ......5E Lesson Plan - Volume of Prisms (12.2) Authors: Whitney Parsons & Emilee Conard Title of Lesson: Volume of Rectangular Prisms

Volume of Rectangular Prisms

LESSON How do you find the volume of a rectangular prism. Volume of Rectangular Prisms 10.1

12.4 Volume of Prisms and Cylinders

Volume of Prisms and Cylinders

Surface area & volume UNIT 4. Prisms SECTION 1 Prism: three dimensional shape with two parallel sides Bases: sides parallel to each other Lateral

Prisms and Lens 10-16myaffiliateproducts.com/files/Micro Prism Sheet 10-16.pdfA Dove prism is used to invert an image. Penta Prism A penta prism is a five-sided reflecting prism used