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

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

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

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

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

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

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7 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved FIND THE VOLUME FOR THE FIGURE BELOW: 1000 cu Total Volume = 3(1000 cu) = 3000 cu Volume for each individual Base 10 Block 10 Volume: V = Bh V = (10x10)x10 V = 100x10 V = 1000 cubic units

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

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

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

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

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

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

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

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

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

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

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18 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved Total Surface Area = 100 2(300) + 2(200) = = 1400 U 2 x y z

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

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

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

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

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23 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved FIND THE VOLUME FOR THE FIGURE BELOW: Volume for each individual Base 10 Block 10 Volume: V = Bh V = (10x10)x10 V = 100x10 V = 1000 cubic units Total Volume = 1000 cu Total Volume = 4(1000 cu) = 4000 cu 1000 cu

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24 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved FIND THE VOLUME FOR THE FIGURE BELOW: Volume for each individual Base 10 Block 10 Volume: V = Bh V = (10x10)x10 V = 100x10 V = 1000 cubic units Total Volume = 4(1000 cu) = 4000 cu

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

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

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

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

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

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

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

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

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

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

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35 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved x z 100 Total Surface Area = 2(300) + 2(300) = = 1800 U 2 y 100

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

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

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

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

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

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

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

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

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

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

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

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