14April 2011 Warm UP– silently please 1 ) HOMEWORK DUE NEXT CLASS: pg. 568: 7 – 9 pg. 548: 5, 7 2) WARM UP- Find the surface area and volume for each:

Objective Students will be able to find dimensions of a solid when given the volume and find volume in real world applications. Homework Due TODAY Finish Volume and Surface area of Geometric Solids Problems- EVENS Include Sketch, formula  substitute  #’s  units √ or X or -10

Area formulas: Regular PolygonsCircles Circle sectors

Volume Formulas Prism/Cylinder Cone/pyramid Sphere Surface area of a Sphere

Study SheetVolume Rectangular Prism Triangular prism Trapezoidal prism Cylinder Prism Pyramid Cone

FINISH Posters START by sketching your figure/ writing basic information CLEARLY on your poster paper. Surface area– clearly show all the “pieces” and area for each “piece” REQUIRED- FORMULA  substitute #s  do the math  add units FINISH with pencil, then I’ll give out markers Group # Problem #

Solving for any variable We can use algebra to rearrange a formula and define it for any variable. EXAMPLE: A chocolate manufacturer is experimenting with new cylindrical cans for hot-cocoa. The can needs to hold 73 in 3. Find the diameters of the can that correspond to heights of 4 in, 5 in, 6 in and 7 inches.

We can rearrange the formula…. Start with what we know: V cylinder = A base H = r 2 H and we know that r = So start by substituting V = ( ) 2 H Now, let’s solve for d

Remember we evaluate expressions using order of operations. P = parenthesis E = exponents M/D= multiply OR divide A/S = add or subtract We UNDO by going in the opposite order using the UNDOING operation addition “undoes” subtraction subtraction “undoes” addition multiplication “undoes” division division “undoes” multiplication AND SQUARING “undoes” square roots!!!! AND remembering the “GOLDEN RULE OF ALGEBRA…. What you do to one side, you gotta do to the other side

V = π ( ) 2 H divide both sides by πH multiply both sides by 4 OR

Now you can use this formula to find the can diameters for H = 4in, 5 in, 6 in, 7 in Show formula  substitute #’s  do math  units

pg. 568 do # THINK– silently for 5 minutes PAIR– check with your partner SHARE– share with class

GROUP WORK A standard juice box holds 8 fluid ounces. A fluid ounce of liquid occupies 1.8 in 3. DESIGN a cylindrical can that will hold about the same volume as one juice box. What are some possible dimensions of the can? Find at least two different sizes. Find the surface area for TWO of your can sizes. Based on cost of the container, with the same material, which is the most economical container to make?

Application problems pg. 548: 2, 3, 6 Do all three on your paper to be submitted for classwork. Remember, sketch, then formula  substitute #’s  do the math  add units