Volume and Surface Area. Objectives Calculate the volume of given geometric figures. Calculate the surface area of given geometric figures. Solve word.

Slides:

Advertisements

Similar presentations

Volume of Rectangular Prisms

Advertisements

By: Ana Zuniga 2 nd period.  It’s the measurements outside of the shape.  Formulas: Rectangle P= 2l+2w Square P= 4s math.about.com.

Aim: Volume Course: Applied Geo. Do Now: What is the area, in terms of  of the shaded region in the figure below? Aim: The Third Dimension: Volume –

Geometry Mini-Lesson 20 cubic cm 24 cubic cm 32 cubic cm 48 cubic cm

Chapter 10 Review Bingo. DIRECTIONS  Fill in the answers listed on the board anywhere on your Bingo card.  You will not have a FREE SPACE.

Composite Functions Consider a person working for a concrete contractor. One of his jobs is to estimate the cost for the product to put in a concrete driveway.

Linear Approximations

EXAMPLE 3 Use the circumference of a sphere EXTREME SPORTS

Find the volume of a sphere

Chapter 8 Review. Write the formulas for finding the areas of each or the following: 1.Triangle ____________________ 2.Rectangle ____________________.

Solid Figures: Volume and Surface Area Let’s review some basic solid figures…

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

Measurement Jeopardy CirclesPerimeter Area 3-D Surface Area And Volume $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.

2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Vocabulary Solid Figures Lines and.

Find the area of each circle.

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.

Jeopardy Areas Surface Area &Volume About Face! Angles in 3-D Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

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.

Geometric Perspectives. Everything has a name… Face Corner (Vertex) Edges.

Chapter 10 Test Formula Review.  Find the circumference of a circle with a diameter of 10. Identify the formula needed for the following questions.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–4) CCSS Then/Now Key Concept: Volume of a Pyramid Example 1:Volume of a Pyramid Key Concept:

Chapter 13 Volume.

11. 7 Volume of Pyramids and Cones 11

Bell Work: Find the total surface area of this figure. Use 3.14 for π. 6 cm 10 cm.

HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Section 5.5.

Chapter 10 Review Bingo.

I Do GREENHOUSES A greenhouse has the shape of a square pyramid. The base has a side length of 30 yards. The height of the greenhouse is 18 yards. What.

11-2 Volume of Prisms & Cylinders Mrs. Ballard & KL Schofield.

$200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 Radius & Diameter Volume.

Lesson 12-1, 2, 7 & D Figures Nets Spheres.

Jeopardy Areas Surface Area About Face! Volume in 3-D! Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

Fill in the area formulas for the following: Circle ____________________ Rectangle ________________ Triangle __________________.

CHAPTER 8 Geometry Slide 2Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 8.1Basic Geometric Figures 8.2Perimeter 8.3Area 8.4Circles 8.5Volume.

Holt CA Course Evaluating Algebraic Expressions 10-1: Three-Dimensional Figures 10-2: Volume of Prisms and Cylinders 10-3: Volume of Pyramids and.

What does “volume” mean?

MAT 142 Lecture Video Series. Volume and Surface Area.

7.4: SURFACE AREA AND VOLUME OF CYLINDERS Expectation: G1.8.1: Solve multistep problems involving surface area and volume of pyramids, prisms, cones, cylinders,

FUN REVIEW AND EXTEND IDEA……. Volume and Surface Area.

Volume and Surface Area. Volume of a Prism Answer: The volume of the prism is 1500 cubic centimeters. Find the volume of the prism.

LESSON Today: Quiz Corrections 12.6 Instruction Homework Review tomorrow Quiz Monday Warm- Up.

Rectangular prism or square prism (cube). sphere.

Sec. 12.6: Surface Area and Volume of Spheres A sphere is the set of all points in space equidistant from a given point, called the center of the sphere.

Find the area of each circle.

Surface Area and Volume

Find the volume of the cone. Round to the nearest tenth if necessary.

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

Chapter 12 Area and Volume.

Find surface areas of spheres.

Secondary math Volume.

Volume of solids.

3.6 Mathematical Models: Constructing Functions

Lone Cones Tin Cans Have a Ball Combos Stretch It 1 pt 1 pt 1 pt 1 pt

2.7 Mathematical Models: Constructing Functions

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:

Solid Figures Geometry.

Solid Figures Geometry.

Lesson 11.3 Cylinders pp

9.4 – Perimeter, Area, and Circumference

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

12.4 Volume of Prisms and Cylinders

12.4 Volume of Prisms and Cylinders

2.7 Mathematical Models: Constructing Functions

9.4 – Perimeter, Area, and Circumference

Five-Minute Check (over Lesson 11–1) Mathematical Practices Then/Now

July 7, 2019 Write in your planner and on your stamp sheet:

Five-Minute Check (over Lesson 11–2) Mathematical Practices Then/Now

Presentation transcript:

Volume and Surface Area

Objectives Calculate the volume of given geometric figures. Calculate the surface area of given geometric figures. Solve word problems involving volume and surface area.

Vocabulary volume surface area sphere pyramid

Rectangular Solid Formulas Volume Surface Area

Cylindrical Solid Formulas Volume Surface Area

Sphere Formulas Volume Surface Area

Cone and Pyramid Formulas Volume

Find the volume and surface area of the figure below

Find the volume of the figure below

6 12

Find the volume of the figure below

From an 8.5-inch by 11-inch piece of cardboard, 1.5-inch square corners are cut out and the resulting flaps are folded up to form an open box. Find the volume and surface area of the box.

A propane gas tank consists of a cylinder with a hemisphere at each end. Find the volume of the tank if the overall length is 10 feet and the diameter of the cylinder is 4 feet.

Ron Thiele bought an older house and wants to put in a new concrete driveway. The driveway will be 36 feet long, 9 feet wide, and 6 inches thick. Concrete (a mixture of sand, gravel, and cement) is measured by the cubic yard. One sack of dry cement mix costs $7.30, and it takes four sacks to mix up 1 cubic yard of concrete. How much will it cost Ron to buy the cement?

A regulation baseball (hardball) has a circumference of 9 inches; a regulation softball has a circumference of 12 inches. Find and compare the volumes of the two types of balls. Find and compare the surface areas of the two types of balls.