Volume of prisms and cylinders

Slides:

Advertisements

Similar presentations

Volumes of Rectangular Prisms and Cylinders Lesson 9-9.

Advertisements

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

#38. Volume is the number of cubic units needed to fill a space. VOCABULARY.

Volume and surface area of solids

Volume: Prisms and Cylinders

Identify the transformation (translation, rotation, reflection, dilation): Name:________________________________________________________________________________Date:_____/_____/__________.

HOMEWORK & Learning Goal

9-6 Volume of Prisms Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

10-8 Finding Volume Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day.

3-Dimensional Figures Filling & Wrapping Notes. Aspects of 3-D figures Three-dimensional figures have a length, width, and height. They also have faces,

VOLUME OF RECTANGULAR PRISMS. No tutoring tomorrow.

Area of a Parallelogram Area of a Triangle Circumference & Area of a Circle.

NETS By Teacher Angelo.

THE NATURE OF MEASUREMENT Copyright © Cengage Learning. All rights reserved. 9.

1.Tim is painting his living room with a new coffee colored Paint. There are 3 walls in the living room that measure 15 ft by 8 ft each and a fourth wall.

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.

FILLING AND WRAPPING VocabularyPROBLEMSSURFACE AREA Miscellaneous VOLUME.

Rectangular Prisms and Cylinders

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

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.

Today’s Plan: -Warm-up -Volume -Assignment LT: I can calculate the volume of prisms and cylinders. 04/12/11Volume of Prisms and Cylinders Entry Task: What.

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

UNIT 9: GEOMETRY – 6 TH GRADE LESSON 8: VOLUME OF A PRISM.

Name:________________________________________________________________________________Date:_____/_____/__________ A Point A is located at (-4, 3). Perform.

Math-7 NOTES DATE: ______/_______/_______ What: applying Volume & Surface area... Why: To solve a variety of volume and surface area word problems. What:

Bell Work: The relationship between feet and inches is a function. Write an equation that shows how to find the number of inches (n, output) if you know.

Volume and Area. Definitions Volume is… The measurement of the space occupied by a solid region; measured in cubic units Lateral Area is… The sum of the.

Topic: U9 Surface Area and Volume EQ: How do we find the surface area and volume of prisms and cylinders?

Marshall has a sandbox in the shape of a square prism, as shown below. The height of the sandbox is 10 inches. If Marshall fills the sandbox with sand.

Notes Over 3.4Volume The volume of a box is the number of cubic units it can hold. Rectangular box: Cube: Sphere:

Volume of Prisms and Cylinders Section 9.4. Objectives: Find the volume of prisms and cylinders.

1 Volume: Lesson Objectives Understand the meaning of Volume Recognise the shapes of Prisms Determine the volume of Prisms.

Unit 8 Review: Measurement 7 th Grade. 1. Find the volume of the prism. a cubic cm b cubic cm c cubic cm d cubic cm.

Math CC7/8 – Feb. 13 Math Notebook: Things Needed Today (TNT):

9.4 Volume of Prisms and Cylinders

Find the area of each polygon or circle.

Vocabulary volume. Learn to estimate and find the volumes of rectangular prisms and triangular prisms.

Find the area of each polygon or circle.

Volumes Of Solids. 8m 5m 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 12 cm 10cm.

Volume of Prisms and Cylinders

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Volumes of Rectangular Prisms and Cylinders

BRAIN BLITZ/Warm-UP Calculate the Surface Area: 1) 2) Volume: 1) 5 cm

BRAIN BLITZ/Warm-UP 1) Calculate the volume of the following figures:

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 and Surface Area of 3D Figures

Chapter 12 Area and Volume.

Volumes of Rectangular Prisms and Cylinders

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Measurement: Volume & Capacity

Calculating Volume in everyday life: Science in Everyday life part 1

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

March 2, Math 102 OBJECTIVE: Students will be able to calculate the volume of prisms and cylinders, using a given formula and a calculator AIM:

Volumes of Prisms and Cylinders

9.4 – Perimeter, Area, and Circumference

8-1 Volume of Prisms & Cylinders

Finding the Volume of Solid Figures

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

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

Agenda Bell ringer Introduction to volume Video Cornell notes

Unit 4D:2-3 Dimensional Shapes

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

Describe the shape resulting from the cross section.

Volume of Prisms 10-7 Warm Up Problem of the Day Lesson Presentation

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

Extending your knowledge Circumference of a circle =

Presentation transcript:

Volume of prisms and cylinders Today’s Lesson: What: Volume of prisms and cylinders Why: . . . so I can calculate the volume of both rectangular prisms and cylinders.

Why is volume measured in cubic units?

What are some real-life applications of volume?

Prior knowledge/ Vocabulary: Rectangular Prism-- a 3-D figure that is comprised of six ____________ faces (a “box”). Cube– a special type of rectangular ____________ where each face is a ___________________. Cylinder– a 3-D figure with circular ____________ for both the top and the bottom. Radius-- refers to the line segment that ___________________ in the center and extends to the circumference line (edge). Diameter– refers to the line segment that extends the entire way _______________ a circle. The diameter splits the circle into two _____________ halves. Volume— the measure of ___________ occupied by a solid region, measured in __________ units. rectangular prism square faces begins across equal space cubic

Pouring sand into a sandbox. Where is volume in real life ? (brainstorm) Filling a cup or bowl. Pouring sand into a sandbox. The amount of water an aquarium holds. How much cake batter a cake pan will hold. Key Words: Fill Hold Pour Etc., etc. . . .

Volume of a PRISM: V = lwh 12 cm 5 cm 4 cm 240 cm³

Volume of a PRISM: 2) V = lwh 2 cm 3.5 cm 14 cm 98 cm³

Volume of a cube: 3) V = lwh 7 cm 343 cm³

56 ft³ Word problem example: MaryBeth is filling a sandbox with sand. If the sandbox is seven feet in length, two feet in height, and four feet in width, how much sand can the sandbox hold? 56 ft³

Volume of CYLINDERS: 1) V = 𝛑 r²h 10 cm 6 cm 282.6 cm³

V = 𝛑 r²h Volume of CYLINDERS: 2) 4.5 cm 2.5 cm ≈ 88.3 cm³

V = 𝛑 r²h Volume of CYLINDERS: 3) 15 cm 4 cm 188.4 cm³

87.92 in³ Word problem example: Joe is pouring coffee into his coffee mug. The mug is 7 in. tall, and its bottom has a diameter of 4 in. How much coffee does Joe’s mug hold? 87.92 in³

Why is volume measured in cubic units? Wrap-it-up/summary: Why is volume measured in cubic units? 2) What are some real-life applications of volume? Volume applies only to 3-D figures, so all 3 dimensions are needed to figure out how much space a 3-D figure occupies. A cube is 3-D, so it works! Answers may vary.

Finish homework worksheet (handed out in class).

END OF LESSON