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12-9 6th grade math

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12-9 6th grade math Volume of Rectangular Prisms Objective To find the volume of rectangular prisms Why? To know how to use formulas and evaluate variable expressions ... – PowerPoint PPT presentation

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Title: 12-9 6th grade math


1
12-96th grade math
  • Volume of Rectangular Prisms

2
Objective
  • To find the volume of rectangular prisms
  • Why? To know how to use formulas and evaluate
    variable expressions using the order of
    operations. To further your knowledge of
    geometry and measurement.

3
California State Standards
  • MG 1.3 Know and use the formula for the volume
    of a rectangular solid.
  • AF 3.1 Use variables in expressions describing
    geometric quantities
  • AF 3.2 Express in symbolic form simple
    relationships arising from geometry.
  • MR 1.3 Determine when and how to break a problem
    into simpler parts.
  • MR 2.2 Apply strategies and results from simpler
    problems to more complex problems.

4
Vocabulary
  • Rectangular prism
  • A prism whose base is a rectangle
  • Volume of a solid (A prism)
  • The number of unit cubes it will fit into a space
    figure
  • Filling the solid

5
How to Find the Volume of Rectangles
  • Observe or draw the figure. Be sure all
    measurements are in equal labels.
  • 2) Write out the formula B x h (B l x w) or l
    x w x h
  • 3) Check work and add label³ to answer.
  • Pit dimensions
  • base 12 ft. x 7 ft.
  • height 2 ft
  • 12 x 7 x 2
  • 168 ft³

6
  • 5 ¾ x 2 ¼ x 1 ?
  • 23 x 9 x 4
  • 4 4 3
  • 9 x 4 3
  • 3 1
  • 3 X 23 69
  • 1 4 4
  • 17 ¼ in³
  • Find volume of rectangular prism
  • l 5 ¾ , w 2 ¼ , h 1 ?

7
Try It!
  • 5 x 8.5 x 2
  • 85 ft³
  • 2) 0.5 x 8 x 10
  • 40 in³
  • 3) 2 x 2.5 x 7
  • 35 ft³
  • (2 x 1.5 x 0.5) x 8
  • (1.5) x 8
  • 12 ft³
  • Find the volume
  • 5 ft, 8 ½ ft, 2 ft
  • ½ in, 8 in, 10 in
  • 2 ft, 2 ½ ft, 7 ft
  • 2 ft, 1 ½ ft, 6 in for 8 bags

8
Objective Review
  • To find the volume of rectangular prisms
  • Why? You now know how to use formulas and
    evaluate variable expressions using the order of
    operations. You have furthered your knowledge of
    geometry and measurement.
  • The volume of any rectangular prism is the
    product of its length, width, and height, or
    Vlwh

9
Independent Practice
  • Complete problems 6-12
  • Copy original problem first.
  • Show all work!
  • If time, complete Mixed Review 13-22
  • If still more time, work on Accelerated Math.
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