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Surface Area

Surface Area. Return to table of contents. Surface Area of Prisms. Return to table of contents. Surface Area The sum of the areas of all outside surfaces of a 3-D figure. To find surface area, you must find the area of each surface of the figure then add them together.

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Surface Area

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  1. Surface Area Return to table of contents

  2. Surface Area of Prisms Return to table of contents

  3. Surface Area The sum of the areas of all outside surfaces of a 3-D figure. To find surface area, you must find the area of each surface of the figure then add them together. What type of figure is pictured? How many surfaces are there? How do you find the area of each surface? 6 in 3 in 8 in

  4. Surface Area 6 in 3 in 8 in BottomTopLeftRightFrontBack SUM 8 8 6 6 8 8 x 3x 3 x 3 x 3x 6x 6 24 24 18 18 48 48 180 in2 6 in 6 in 6 in 3 in 3 in 8 in 3 in 8 in 8 in

  5. Arrangement of Unit Cubes Find all the possible ways that 24 unit cubes can be arranged into a rectangular prism. Give each arrangements dimensions and surface area. Also make a sketch.

  6. Which arrangement of 24 cubes has the least surface area? Which has the most?

  7. Arrangement of Unit Cubes Find all the possible ways that 64 unit cubes can be arranged into a rectangular prism. Give each arrangements dimensions and surface area. Also make a sketch.

  8. Which arrangement of 64 cubes has the least surface area? Which has the most?

  9. 29 Which arrangement of 27 cubes has the least surface area? A 1 x 1 x 27 B 3 x 3 x 3 C 9 x 3 x 1

  10. 30 Which arrangement of 12 cubes has the least surface area? A 2 x 2 x 3 B 4 x 3 x 1 C 2 x 6 x 1 D 1 x 1 x 12

  11. 31 Which arrangement of 25 cubes has the greatest surface area? A 1 x 1 x 25 B 1 x 5 x 5

  12. 32 Which arrangement of 48 cubes has the least surface area? A 4 x 12 x 1 B 2 x 2 x 12 C 1 x 1 x 48 D 3 x 8 x 2 E 1 x 2 x 24 F 4 x 3 x 4

  13. Find the surface area of a rectangular shoe box that has a length of 12 inches, a width of 6 inches and a height of 5 inches. click to reveal click to reveal click to reveal click to reveal 5 in Top/BottomFront/BackLeft/RightSurface Area 12 12 6 144 x 6 x 5 x 5 120 72 60 30 + 60 x 2 x 2 x 2 324 in2 144 120 60 6 in 12 in

  14. Name the figure. Find the figure's surface area. 7 m 3 m 5 m

  15. 33 How many faces does the figure have? 6 m 2 m 4 m

  16. 34 How many area problems must you complete when finding the surface area? 6 m 2 m 4 m

  17. 35 What is the area of the top or bottom face? 6 m 2 m 4 m

  18. 36 What is the area of the left or right face? 6 m 2 m 4 m

  19. 37 What is the area of the front or back face? 6 m 2 m 4 m

  20. 38 What is the surface area of the figure? 6 m 2 m 4 m

  21. Find the Surface Area. 1. Draw and label ALL faces 2. Find the correct dimensions for each face 3. Calculate the AREA of EACH face 4. Find the SUM of ALL faces 5. Label Answer 5 yd go on to see steps 5 yd 4 yd 9 yd 6 yd

  22. 5 yd 5 yd 5 yd 5 yd 4 yd 9 yd 4 yd 9 yd TrianglesBottom Rectangle 4 9 x 6 x 6 24 / 2 = 12 54 x 2 24 6 yd 6 yd CLICK TO REVEAL CLICK TO REVEAL Total Surface Area 24 54 + 90 168 yd2 Left/Right Rectangles (Same size since isosceles) 5 x 9 45 x 2 90 5 yd CLICK TO REVEAL 5 yd 4 yd CLICK TO REVEAL 9 yd 6 yd

  23. Find the Surface Area. 1. Draw and label ALL faces 2. Find the correct dimensions for each face 3. Calculate the AREA of EACH face 4. Find the SUM of ALL faces 5. Label Answer 9 cm TRY THIS ONE 9 cm 6 cm 11 cm 9 cm

  24. 9 cm 9 cm 9 cm 9 cm 6 cm 6 cm 11 cm 11 cm 9 cm 9 cm TrianglesRectangles Click on box to reveal steps.

  25. 39 Find the surface area of the shape below. 1. Draw and label ALL faces 2. Find the correct dimensions for each face 3. Calculate the AREA of EACH face 4. Find the SUM of ALL faces 5. Label Answer 47 ft 50 ft 21 ft 42 ft

  26. Find the Surface Area. 7 cm 3 cm 4 cm 15 cm 5 cm 6 cm

  27. 7 cm 3 cm 4 cm 15 cm 5 cm Top Rectangle 10 x 15 150 Side Rectangles 5 x 15 75 x 2 150 Bottom Rectangle 6 x 15 90 Trapezoids 10 + 6 16 x 4 64 / 2 = 32 x 2 64 6 cm Surface Area 64 90 150 + 150 454 cm2 click to reveal click to reveal click to reveal click to reveal click to reveal

  28. 40 Find the surface area of the shape below.

  29. 41 Find the surface area of the shape below. 2 cm 10 cm 6 cm 6 cm 10 cm

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