Presentation is loading. Please wait.

Presentation is loading. Please wait.

SURFACE AREA and VOLUME with BASE 10 BLOCKS

Published byKaelyn Goward Modified over 10 years ago

Similar presentations

Presentation on theme: "SURFACE AREA and VOLUME with BASE 10 BLOCKS"— Presentation transcript:

1 SURFACE AREA and VOLUME with BASE 10 BLOCKS
INTRODUCTION PROBLEM 1 PROBLEM 5 PROBLEM 2 PROBLEM 6 PROBLEM 3 PROBLEM 7 PROBLEM 4 PROBLEM 8 PROBLEM 9

2 10 cm 3 100 cm 3 1 cm 3 1000 cm 3 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

3 BASE 10 BLOCKS VALUES FOR VOLUMES USING PRISM VOLUME FORMULA:
Volume for each individual Base 10 Block 10 1 1 1 10 10 1 1 10 1 10 10 Volume: Volume: Volume: Volume: V = Bh V = Bh V = Bh V = Bh V = (10x10)x10 V = (10x10)x1 V = (1x10)x1 V = (1x1)x1 V = 100x10 V = 100x1 V = 10x1 V = 1x1 V = 1000 cubic units V = 100 cubic units V = 10 cubic units V = 1 cubic units PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

4 BASE 10 BLOCKS VALUES FOR VOLUMES:
1 cm 3 10 cm 3 100 cm 3 1000 cm 3 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

5 BASE 10 BLOCKS VALUES FOR AREAS:
Each PRISM has 6 faces 2(10x10) 2(1X1) 4(10X1) 10x10 6(1X1) 4(10X1) 6 cm 2 6(10x10) 2(1x1)+4(10x1) 6(100) 2(1)+4(10) 2(10x10)+4(10x1) 600 cm 2 2(100)+4(10) 2+40 42 cm 2 200+40 240 cm 2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

6 BASE 10 BLOCKS VALUES FOR AREAS:
6 cm 2 42 cm 2 240 cm 2 600 cm 2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

7 FIND THE VOLUME FOR THE FIGURE BELOW:
Volume for each individual Base 10 Block 10 1000 cu 10 10 Volume: 1000 cu 1000 cu V = Bh V = (10x10)x10 Total Volume = 3(1000 cu) V = 100x10 = cu V = 1000 cubic units PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

8 FIND THE SURFACE AREA FOR THE FIGURE BELOW:
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

9 y z x PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

10 y Right and Left Views x z
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

11 y Top and Bottom Views x z
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

12 y Front and Back Views x z
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

13 y ALL Views x z PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

14 y ALL Views x z PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

15 Total Surface Area = 2(300) y 100 x 100 z
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

16 Total Surface Area = 2(200) y 100 100 x z
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

17 Total Surface Area = 2(200) y 100 x 100 z
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

18 Total Surface Area = 2(300) + 2(200) + 2(200) = 600 + 400 + 400
y 100 100 100 100 x 100 100 z PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

19 TOP VIEW FRONT VIEW RIGHT VIEW
Eliminating redundant views draw an orthographic drawing of the previous figure: TOP VIEW FRONT VIEW RIGHT VIEW PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

20 Now draw an isometric drawing of the figure (corner view):
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

21 Draw a FOUNDATION drawing of the ISOMETRIC figure:
Using the top view: FOUNDATION DRAWING 2 1 Indicates 2 levels Indicates 1 level PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

22 FIND THE VOLUME FOR THE FIGURE BELOW:
Volume for each individual Base 10 Block 10 10 10 Volume: V = Bh V = (10x10)x10 Total Volume = V = 100x10 V = 1000 cubic units PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

23 FIND THE VOLUME FOR THE FIGURE BELOW:
Volume for each individual Base 10 Block 1000 cu 10 1000 cu 10 1000 cu 10 Volume: 1000 cu V = Bh V = (10x10)x10 Total Volume = Total Volume = 4(1000 cu) V = 100x10 = cu V = 1000 cubic units PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

24 FIND THE VOLUME FOR THE FIGURE BELOW:
Volume for each individual Base 10 Block 10 10 10 Volume: V = Bh V = (10x10)x10 Total Volume = 4(1000 cu) V = 100x10 = cu V = 1000 cubic units PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

25 FIND THE SURFACE AREA FOR THE FIGURE BELOW:
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

26 y z x PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

27 y Right and Left Views x z
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

28 y Top and Bottom Views x z
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

29 y Front and Back Views x z
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

30 y ALL Views x z PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

31 ALL Views y x z PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

32 Total Surface Area = 2(300) y 100 x 100 z
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

33 Total Surface Area = 2(300) y 100 100 x z
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

34 Total Surface Area = 2(300) y 100 x 100 z
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

35 Total Surface Area = 2(300) + 2(300) + 2(300) = 600 + 600 + 600
y 100 100 100 100 x 100 100 z PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

36 TOP VIEW FRONT VIEW RIGHT VIEW
Eliminating redundant views draw an orthographic drawing of the previous figure: TOP VIEW FRONT VIEW RIGHT VIEW PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

37 Now draw an isometric drawing of the figure:
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

38 Draw a FOUNDATION drawing of the ISOMETRIC figure:
Using the top view: FOUNDATION DRAWING 2 1 Indicates 2 levels Indicates 1 level 1 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

39 Find the volume for the shape below:
10 c.u 100 c.u. 1000 c.u. 4x 1000 4000 600 20 6x 100 2x 10 4620 VOLUME = 4620 c.u. PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

40 Find the total surface area for the shape below: 2 sq. u.
x 2 Front and Back Find the total surface area for the shape below: 2 sq. u. FRONT VIEW 30 sq. u. 200 262 100 sq. u. 60 2 524 100 sq. u. 30 sq. u. Surface Area = = 2204 square units x 2 Right and Left 100 sq. u. 100 sq. u. 40 sq. u. TOP VIEW 400 440 RIGHT VIEW 40 100 sq. u. 880 100 sq. u. x 2 Top and Bottom 400 100 sq. u. 100 sq. u. 100 sq. u. 100 sq. u. 800 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

41 Find the total surface area for the shape below:
x 2 Front and Back Find the total surface area for the shape below: FRONT VIEW 200 262 60 2 524 Surface Area = = 2204 square units x 2 Right and Left TOP VIEW 400 440 RIGHT VIEW 40 880 x 2 Top and Bottom 400 800 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

42 Build the figure represented in the orthographic views below:
FRONT VIEW TOP VIEW RIGHT VIEW PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

43 Draw an isometric drawing of the figure:
FRONT RIGHT PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

44 TOP VIEW RIGHT VIEW FRONT VIEW
Draw an orthographic drawing of the figure: TOP VIEW RIGHT VIEW FRONT VIEW PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

45 Surface Area =1000 + 800 + 600 = 2400 square units
Find the surface area: x 2 Top and Bottom TOP VIEW 100 sq. u. 100 sq. u. 300 600 100 sq. u. x 2 Right and Left RIGHT VIEW 100 sq. u. 100 sq. u. FRONT VIEW 400 800 x 2 Front and Back 100 sq. u. 100 sq. u. 100 sq. u. 500 100 sq. u. 100 sq. u. 100 sq. u. 100 sq. u. 1000 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

46 Surface Area =1000 + 800 + 600 = 2400 square units
Find the surface area: x 2 Top and Bottom TOP VIEW 300 600 x 2 Right and Left RIGHT VIEW FRONT VIEW 400 800 x 2 Front and Back 500 1000 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Download ppt "SURFACE AREA and VOLUME with BASE 10 BLOCKS"

Similar presentations

1.3 Surface Areas of Objects Made from Right Rectangular Prisms

1.3 Surface Areas of Objects Made from Right Rectangular Prisms
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: 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.
Prisms A prism is a solid that is the same shape all the way a long its length.

Prisms A prism is a solid that is the same shape all the way a long its length.
Surface Area of Triangular Prisms. Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction paper.

Surface Area of Triangular Prisms. Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction paper.
18-May-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com The Cube The Cuboid The Triangular Prism Net and Surface Area Faces Edges and Vertices.

18-May-15Compiled by Mr. Lafferty Maths Dept. The Cube The Cuboid The Triangular Prism Net and Surface Area Faces Edges and Vertices.
SURFACE AREA and VOLUME of RECTANGULAR PRISMS and CUBES.

SURFACE AREA and VOLUME of RECTANGULAR PRISMS and CUBES.
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 Vocabulary Area Surface AreaVolume More vocabulary.

Vocabulary Area Surface AreaVolume More vocabulary.
CONFIDENTIAL 1 Geometry Representations of Three- Dimensional Figures Geometry Representations of Three- Dimensional Figures.

CONFIDENTIAL 1 Geometry Representations of Three- Dimensional Figures Geometry Representations of Three- Dimensional Figures.
Surface Area: Prisms and Pyramids

Surface Area: Prisms and Pyramids
Surface Area and Volume Surface Area of Prisms.

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

Surface Area & Volume of Prisms. Prisms are 3-D shapes Triangular PrismRectangular Prism Cube.
Volume and Surface Area 7 th Grade More about Geometry Unit.

Volume and Surface Area 7 th Grade More about Geometry Unit.
Please start Bellwork # HW, red pen, book on desk.

Please start Bellwork # HW, red pen, book on desk.
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.

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.

Prisms Lesson 11-2.
3D Figures What is a 3D figure? A solid shape with length, width, and height rectangular prisms cube cone cylinder pyramid.

3D Figures What is a 3D figure? A solid shape with length, width, and height rectangular prisms cube cone cylinder pyramid.
2/14 Warm-ups Consider the surface area formula for a rectangular prism. 1.What part of the formula gives the area of the top and bottom faces? 2.What.

2/14 Warm-ups Consider the surface area formula for a rectangular prism. 1.What part of the formula gives the area of the top and bottom faces? 2.What.
Drawings and Nets Chapter 1 Section1 Geometry Mr. Miller.

Drawings and Nets Chapter 1 Section1 Geometry Mr. Miller.
prism with 6 square faces

prism with 6 square faces
Textbook - page 10 Lined paper. Vocabulary An isometric drawing of a three dimensional object shows three sides of a figure from a corner view. Workbook.

Textbook - page 10 Lined paper. Vocabulary An isometric drawing of a three dimensional object shows three sides of a figure from a corner view. Workbook.

Similar presentations

Ads by Google