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HW: Worksheet

HW: Worksheet. Do Now 4/9/14 Liquid soap is being poured into a rectangular shaped container at the rate of 400 cubic inches per minute. If the container measures 25 inches long by 14 inches wide by 36 inches high, how long will it take to fill the container?. 31.5 minutes. Unit Goal.

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HW: Worksheet

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  1. HW: Worksheet Do Now 4/9/14 Liquid soap is being poured into a rectangular shaped container at the rate of 400 cubic inches per minute. If the container measures 25 inches long by 14 inches wide by 36 inches high, how long will it take to fill the container? 31.5 minutes

  2. Unit Goal • Understand volume as a measure of filling an object and surface area as a measure of wrapping an object.

  3. Homework Answers 1a) 5x3x1 b) 46in² c) 15 2a) 5x3x2 b) 62in² c) 30 3a) 5x3x5 b) 110in² c) 75 4a) 40x1x1, 20x2x1, 10x4x1, 10x2x2, 5x8x1, 5x4x2 b) Least=5x4x2; Greatest=40x1x1 c) To save money on packaging

  4. Homework Answers 11a) 60 b) 94 17a) SA of Box B b) SA of Box C c) Vol of Box A d) Vol of Box D 20a) 5x1x1 b) 3, 7, 11, 13 – prime numbers 23) 9.75 gallons (or 10 gallons) 28a) to fit better on shelves, to save money b) 24x1x1, 12x2x1, 6x4x1, 8x3x1, 4x2x3, 6x2x2 -- Answers will vary

  5. Summarizing Volume

  6. Summarizing Volume Adding layers of the base.

  7. General Formula Volume of a Prism= area of the base x height V = Bh What is a prism? A 3D figure with 2 same shape bases which are connected by rectangles.

  8. Triangular Prisms Two congruent triangles connected by rectangles. Congruent: same size, same shape

  9. The layers are triangles

  10. What’s the formula? The general formula is V = Bh B is the area of the base h is the height So how do we find the volume of a triangular prism?

  11. Find the Volume. V = Bh Step 1: Find the area of the base (B). B = 1/2bh = 1/2(8)(3) = 12 Step 2: Multiply Bh V = Bh = 12(12) = 144 cm³

  12. Putting it all together • Example • http://www.youtube.com/watch?v=qw7NAquWuTs

  13. Find the volume of each prism

  14. Homework • Worksheet

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