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Presentation transcript:

Turn In: HW Tracking sheet: 1/22-1/25 Math CC7/8 – Be Prepared Journal: Add a new tab: FW Date: 1/29/2019 Title: Filling & Wrapping 1.1-1.2: Volume & Surface Area 4) Sign off neighbor's HW from last night.  5) Warm Up: NEW Unit: Filling and Wrapping On Desk: Turn In: HW Tracking sheet: 1/22-1/25 In Your Planner: HW: F&W p. 15, #1-2, 12-13, 17-19, 31

Tasks for Today Warm Up New Unit: Filling & Wrapping Lesson 1.1-1.2 Begin HW?

Warm Up 32 cm x 16 cm x 8 cm SA = 2(896) sq. cm = 1792 sq. cm To test your understanding of volume and surface area, consider the following… 32 cm x 16 cm x 8 cm SA = 2(896) sq. cm = 1792 sq. cm Vol = 4,096 cubic cm

Surface Area Length, Width, & Height 3. Volume 4. Length and/or Diagonals 5. Length and/or Diagonals

Multiply the length by the width Multiply the length by the width and again by the height

Vol = L x W x H Vol = 10 x 15 x 8 Vol = 1,200 containers

Vol = Multiply the all three dimensions – L x W x H SA = 2 (20 + 25 + 20) SA = 130 square units SA = 2 (8 + 10 + 20) SA = 76 square units V = 4 x 5 x 5 V = 100cubic units SA = 2 (4 + 5 + 20) SA = 58 square units V = 4 x 5 x 2 V = 40 cubic units V = 4 x 5 x 1 V = 20 cubic units SA – Find the area of the front, top and side. Then add them together and multiply by 2 to find the SA for all six faces. Vol = Multiply the all three dimensions – L x W x H

Surface Area Recap Always label surface area as: units squared or units2 surface area only measures two dimensions (L and W). Different ways to solve for surface area (SA): Solve for the area of all six faces and add them all together. OR Solve for the area of three of the faces (for example, top, front, and right), add the areas together, and multiply by two (because there are two pairs of faces that are equivalent) . OR Double the love method

Find All Possible Arrangements Group Task: Given 24 cubes and a lab sheet, find 3 possible arrangements. Fill in the lab sheet as you are working. Find the volume for each arrangement. Find the surface area for each arrangement.

Possible Arrangements of 24 cubes Length Width Height Volume Surface Area 1 inch 24 inches 24 cubic in. 98 sq. in. 2 inches 12 inches 76 sq. in. 3 inches 8 inches 70 sq. in. 4 inches 6 inches 68 sq. in. 56 sq. in. 52 sq. in.

Volume Recap Volume is always labeled as: units cubed or units3 because we use three dimensions to solve for volume. To find the volume of a polyhedron: Count how many inch cubes fit in the box. OR Find the area of the base and multiply it by the height of the polyhedron. Volume = Bh (B = area of base , h = height) OR Volume of a Rectangular Prism = Length x Width x Height