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

Slides:

Advertisements

Similar presentations

Volume of Rectangular and Triangular Prisms

Advertisements

Volume and Total Surface Area of RIGHT Prisms and CYLINDERS.

Prisms A prism is a solid that is the same shape all the way a long its length.

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.

Geometry Volume of Rectangular and Triangular Prisms Content Standard: MG. 1.3 Know and use the formulas for the volume of triangular prisms and cylinders;

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

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.

Volume: the amount of space inside a 3-dimensional shape measured in cubic units What is a cubic cm? A 3-D unit that measures 1 cm on all sides Volume.

Surface Area & Volume of Prisms. Prisms are 3-D shapes Triangular PrismRectangular Prism Cube.

Volume and Surface Area of a Triangular Prism. A triangular prism is a three- sided polyhedron with two parallel triangular bases and three rectangular.

Volume of Rectangular Prisms

Volume of Triangular Prisms

Surface Area & Volume Prism & Cylinders.

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.

Prisms Lesson 11-2.

9-2 Volume of Prisms and Cylinders Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

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

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.

10.2 Volume Standard: MG 3.0 Objective: Find the volume of prisms and cylinders.

7.3 Volume of Prisms and Cylinders

Volume The perimeter of a shape is the total distance around the edge of a shape. Perimeter is measured in cm The Area of a plane figure is the amount.

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

Shape, Space and Measure 2 CyberDesign.co.uk 2005 Volume of a cuboid Volume is the amount of space inside 3-D shapes A cube of 1 cm edge has a volume of.

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

Volume of Right Prisms with Polygon Faces

Surface Area of Prisms and Cylinders. Vocabulary A net is a pattern you can fold to form a three-dimensional figure. This is a net for a triangular prism.

Prism 3-D Shape Two bases that are parallel Volume How much an item holds.

+ Pyramids and Prisms. + Solid An object with 3 Dimensions Height, Width, Length.

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

OBJ: Find the volume of rectangular and triangular prisms. Section 13.1 Part 1.

Volume of Rectangular Prisms

VOLUME of PYRAMIDS Consider a pyramid and a prism having equal heights and bases with equal areas. If the pyramid is filled with sand and its contents.

Surface Area of 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 Rectangular and Triangular Prisms

Chapter 11.4 Volumes of Prisms and Cylinders

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

Area and Volume Area is the amount of space contained in a two-dimensional figure Volume is the amount of space in a three-dimensional figure.

Volume of Prisms.

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

10.4 Volumes of Prisms & Cylinders

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

Volume of Prisms TeacherTwins©2014.

Volume of Rectangular and Triangular Prisms

Volume SWBAT Find the Volume of a Right Rectangular Prism by Applying the Appropriate Formula.

Surface Area of Prisms and Cylinders

Volume of Rectangular Prisms and Cubes

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

9.4 – Perimeter, Area, and Circumference

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.

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

Volume of Rectangular and Triangular Prisms

Surface Area of Prisms and Cylinders

Volume of Rectangular and Triangular Prisms

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

*Always measured in units cubed (u3)

volume of prisms and cylinders

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

Surface Area of Prisms and Cylinders

volume of prisms and cylinders

Agenda Ticket in the Door Current Lesson Wrap-Up

volume of prisms and cylinders

Volume of Rectangular Prisms

Lesson 4 Volume of Prisms

Presentation transcript:

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

Prism  A solid figure with two congruent and parallel faces.  Shape of these faces determine the name of the prism

Volume  Volume – the amount of space occupied by an object. (units 3 ). Example: The VOLUME of this cube is all the space contained by the sides of the cube, measured in cube units (units 3 ). l w h

Volume  Volume – Once we know the area of the base, we multiply by the height to determine the VOLUME of the prism. Volume = Bh Volume = Area of Base x Height Volume = (l x w) x h

Volume  Volume (rectangular prism) Formula: V = B x h V = l x w x h

Volume  Find the volume of this prism… Formula: V = B x h V = l x w x h 5 cm 4 cm 7 cm

Volume  Find the volume of this prism… Formula: V = B x h V = l x w x h V = 5cm x 4cm x 7cm 5 cm 4 cm 7 cm

Volume  Find the volume of this prism… Formula: V = B x h V = l x w x h V = 5cm x 4cm x 7cm V = 140cm 3 5 cm 4 cm 7 cm

Volume  Does it matter which side is the base? Formula: V = B x h V = l x w x h V = 7cm x 4cm x 5cm 5 cm 4 cm 7 cm

Volume  Volume of a Triangular Prism

Volume  The same principles apply to the triangular prism. To find the volume of the triangular prism, we must first find the area of the triangular base (shaded in yellow). b h

Volume  To find the area of the Base… Area (triangle) = b x h 2 This gives us the Area of the Base (B). b h

Volume  Now to find the volume… We must then multiply the area of the base (B) by the height (h) of the prism. This will give us the Volume of the Prism. B h

Volume  Volume of a Triangular Prism Volume (triangular prism) V = B x h B h

Volume  Together… Volume V = B x h

Volume  Together… Volume V = B x h V = (8 x 4) x 12 2

Volume  Together… Volume V = B x h V = (8 x 4) x 12 2 V = 16 x 12

Volume  Together… Volume V = B x h V = (8 x 4) x 12 2 V = 16 x 12 V = 192 cm 3

Volume  Your turn… Find the Volume