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

Slides:

Advertisements

Similar presentations

Volumes of Rectangular Prisms and Cylinders Lesson 9-9.

Advertisements

Volume: Prisms and Cylinders Lesson 10-7 p.538. Volume The volume of a three-dimensional figure is the amount that fills the figure. The volume is given.

Volume and surface area of solids

What Is Volume ? The volume of a solid is the amount of space inside the solid. Consider the cylinder below: If we were to fill the cylinder with water.

Volume of Prisms Monday, May 18, 2015 We are learning to…find the volume of rectangular and triangular prisms.

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

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

8-6 Volume of Prisms Learn to estimate and find the volumes of rectangular prisms and triangular prisms.

10-7 Volume of Prisms Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day.

Triangular Prism Volume.

Volume of Triangular Prism. Volume of a Triangular Prism Length Volume of a prism = Area x length Area of triangle = ½ x base x height.

SURFACE AREA and VOLUME of RECTANGULAR PRISMS and CUBES.

SURFACE AREA & VOLUME.

BELL WORK: FIND THE SURFACE AREA AND VOLUME OF THE RECTANGULAR PRISM. SA= 2lw + 2lh + 2wh SA=2(20)(9) + 2(20)(8) + 2(9)(8) SA = SA= 824.

Volume is the amount of space inside a three-dimensional (3-D) shape

Finding the Volume of Solid Figures MCC6.G.2 – Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes.

Volume and Surface Area 7 th Grade More about Geometry Unit.

Volume of Triangular Prisms

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

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.

11.4 Volumes of Prisms and Cylinders

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.

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.

In this video, you will recognize that volume is additive, by finding the volume of a 3D figure composed of two rectangular prisms.

Volume: Prisms and Cylinders

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

Rectangular Prism A solid (3-dimensional) object which has six faces that are rectangles. Volume = Length × Width × Height Which is usually shortened.

Volume of a Rectangular Prism

What is Volume?. What is Volume? Volume is the amount of space inside an object.

VOLUME AND SURFACE AREA REVIEW. FIND THE VOLUME OF EACH FIGURE. V = lwh V = (6)(7)(10) V = 420 cm³ V = Bh B = (1/2)(6)(8) = 24 V = (24)(12) V = 288 units³.

SURFACE AREA & VOLUME RECTANGULAR PRISM – AREA RECTANGULAR PRISM – VOLUME.

How can you quickly and efficiently determine which one of these boxes can hold more popcorn? 5 in. 2 in. 7 in. 8 in. 2 in. 4 in.

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

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

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

MG1.3 Know and use the formulas for the volume of triangular prisms and cylinders (area of base × height); compare these formulas and explain the similarity.

Find the volume of the box by determining

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

REVIEW & PRACTICE for the Test

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Volumes of Rectangular Prisms and Cylinders

Volume of Prisms, Pyramids, 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 Prisms and Cylinders

In this video, you will recognize that volume is additive, by finding the volume of a 3D figure composed of two rectangular prisms.

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

Volumes Of Solids. 7cm 5 cm 14cm 4cm 3cm 10cm.

Volume of Prisms.

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

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

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

Volumes of Rectangular Prisms and Cylinders

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

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

1) Defining Volume 2) Volume = lwh

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

Finding the Volume of Solid Figures

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.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

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

In this video, you will recognize that volume is additive, by finding the volume of a 3D figure composed of two rectangular prisms.

Sec 10-1B: Volume of Prisms

12.4 Volume of Prisms and Cylinders

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

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

Presentation transcript:

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

Volume is the amount of space inside a 3-D figure Volume is the amount of space inside a 3-D figure. It is measured in cubic units. We can begin by stacking the cubic units in the bottom of the prism 3units This prism holds 9 cubic units in the bottom layer. The volume of the given cube can be found by determining how many cubic units will fit inside the cube. We can continue to stack these layers until the prism is full. 3units 3units This prism holds 3 layers of 9 cubic units for a total of 27 cubic units 1 cubic unit 1unit V = 27 cubic units

This formula works very well for rectangular prisms 3units Another way to find the volume of the prism is to use the formula V = lwh where V is volume, l is length, w is width, and h is height h w l V = lwh V = (3)(3)(3) V = 27 cubic units This formula works very well for rectangular prisms

Find the volume of this rectangular prism Since this is a rectangular prism we can use V = lwh we have: V = (5)(4)(7) V = 140 in3 7 in Another way to think about this … V = Area of the base shape × height. 4 in 5 in

Find the volume of this triangular prism Since this is a triangular prism we can use the same idea … V = Area of the base shape × height. since the base is a triangle we could find the area of the triangle first using: B = (1/2)bh (where b & h are perpendicular) B = (1/2)(3)(4) B = (1/2)(12) B = 6 cm2 BASE AREA B = 6 cm2 5 cm Now we use V = Bh where h is the distance between the bases. V = (6 cm2)(9 cm) V = 54 cm3 4 cm 9 cm 3 cm

How many boxes can fit into the moving truck?