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 = 360 + 320 + 144 SA= 824.

Slides:



Advertisements
Similar presentations
Volume of Prisms and Cylinders
Advertisements

Volume of Prisms Monday, May 18, 2015 We are learning to…find the volume of rectangular and triangular prisms.
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.
Triangular Prism Volume.
Bell Work Find the surface area of each figure.
SURFACE AREA & VOLUME.
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.
Solving Volume Problems. Warm Up Complete the table. PrismBase Area of Base Triangular Prism Rectangular Prism Trapezoidal Prism.
Volume and Surface Area 7 th Grade More about Geometry Unit.
Draw the net for the prism and find the surface area. Show work and include units !
Surface Area of Rectangular Prisms 1.How many outside surfaces does a rectangular prism have? 2.What shape are each of the faces? The six rectangular sides.
Volume of Prisms Lesson 17. Find the area of each figure What do you know about volume? List at least 3 things.
Volumes Of Solids. 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 10cm.
The area of a rectangle equals its length times the width (base times the height). A = length x width = lw or A = base x height = bh Area of a Rectangle.
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.
Volume of Prisms & Cylinders Look at the three shapes I have and tell me what they have in common when one is trying to calculate the volume of these figures.
Perimeter, Area, Surface Area, and Volume Examples
Filling and Wrapping Test Review Finding the Surface Area and Volume of Rectangular Prisms, Cylinders, and Pyramids.
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.
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.
MATH 3190 Surface Area and andVolume. Measurement Rectangular Prism Rectangular Prism Surface Area: sum of the areas of all of the faces Surface Area:
Unit 10-Day 3 Rectangles: Objective: Finding the Perimeter & Area of a rectangle.
In this video, you will recognize that volume is additive, by finding the volume of a 3D figure composed of two rectangular prisms.
Surface Area and Volume 7 th Grade Surface Area of Prisms Surface Area = The total area of all the surfaces of a three- dimensional object.
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
0-9: Volume.
Bell Work Find the surface area of the figure. 6 x 4 = 24 in² 3 x 4 = 12 in² 6 x 3= 18 in² Add them up! SA = SA = 108 in².
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.
 Snap together cubes to create a solid rectangular figure.  How long is your figure?  How wide is your figure?  What is the height of your figure?
Lesson 7-7 Surface Area of Prisms and Cylinders. Definition Surface Area- The sum of the area of all the faces of a solid.
Surface Area Geometry and andMeasurement. Measurement Rectangular Prism Rectangular Prism Surface Area: sum of the areas of all of the faces Surface Area:
JANUARY 13, 2010 SURFACE AREA AND VOLUME. OBJECTIVES Introduce the idea of surface area and volume Apply understanding of area to surface area Apply surface.
Rectangular and Triangular.  Digital Story link  Beaulieu_Lauren.module#5.PhotoStory.wp3 Beaulieu_Lauren.module#5.PhotoStory.wp3.
Surface Area and Volume. Day 1 - Surface Area of Prisms Surface Area = The total area of the surface of a three-dimensional object (Or think of it as.
Topic: U9 Surface Area and Volume EQ: How do we find the surface area and volume of prisms and cylinders?
Formulas V=B*h or V= l*w*h (Prisms) V=1/3Bh or B*h/3 (Pyramids) SA=2lw + 2lh + 2wh (Prisms)
Volumes Of Solids. 8m 5m 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 12 cm 10cm.
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  Used to find the amount of liquid something can hold  Ex. the area of a swimming pool is the inside of the pool while the volume is the amount.
Volumes Of Solids. 8m 5m 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 12 cm 10cm.
Changes in scale lab Essential questions:
Volume and Missing Dimension SO 4, 5
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.
Surface Area and Volume
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
VOLUME.
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
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
Surface Area and Volume
Who do you think got more popcorn for $4.00? What is your evidence?
1) Defining Volume 2) Volume = lwh 3) Volume = Bh
Presentation transcript:

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 cm² V = lwh V = (20)(9)(8) V = 1440 cm³

VOLUME WITH THE FORMULA

VOLUME The volume of a solid is the amount of space inside the solid. Volume is measured in cubic units.

FORMULAS When we calculated the volumes we counted the cubes inside: 10cm 3cm 4cm Shortcut: We found the area. A = length x width We then calculated how many layers made up the volume. The number of layers is the HEIGHT of the solid. This gives us a formula for calculating other volumes: Volume= Area of Base x Height V = Bh We found the number of cubes that made up the base.

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

Another way to find the volume of this prism is to use the formula V = Bh where V is volume, B is the area of the base, and h is the height. 3units h w l V = Bh V = (9)(3) V = 27 cubic units Area of the Base: B = lw B = (3)(3) B = 9 square units This formula works very well for non-rectangular prisms

Volume of NON-rectangular solids = Bh B = Area of the base h = height FORMULAS Volume of Rectangular Solids = lwh l = length w = width h = height

YOU TRY: FIND THE VOLUME OF THE TRIANGULAR PRISM. SA= 2B + Ph B = (1/2)(9)(4) = 18 P = = 20.7 SA= 2(18) (8.1) SA = SA= cm² V = Bh B = (1/2)(9)(4) = 18 V = (18)(8.1) V = cm³

EXAMPLE FIND THE VOLUME OF EACH SOLID. V = Bh Area of base = 43 mm² V = (43)(15) V = 645 mm³ V = Bh Area of base = (1/2)(4.8)(7.2) V = (17.28)(10) V = m³

EXAMPLE Each locker is shaped like a rectangular prism. Which has more storage space? Explain. School Locker V = lwh V = (12)(10)(60) V = 7200 in³ Gym Locker V = lwh V = (12)(15)(48) V = 8640 in³ The Gym Locker has more storage space because the volume of the gym locker is greater than the school locker.

EXAMPLE A movie theater designs two bags to hold 96 cubic inches of popcorn. Find the height of each bag. Bag A V = Bh B = (3)(4) = = 12h h = 8 Height is 8 inches Bag B V = Bh B = (4)(4) = = 16h h = 6 Height is 6 inches

PRACTICE: VOLUME USING THE FORMULAS WORKSHEET