-volumeofprismsandcylinders(days).docVIP

10-2 Volume of Prisms and Cylinders (4 days) MG 2.1~ Use formulas routinely for finding the perimeter and area of basic two-dimensional figures and the surface area and volume of basic three-dimensional figures, including rectangles parallelograms, trapezoids, squares, triangles, circles, prisms, and cylinders. Why Learn this? You can use a formula to find the approximate volume of a drum Vocabulary: The volume of a three-dimensional figure is the number of cubes it can hold. h w w l h l V = l?w?h V = ? l?w?h r h Area of circle ? height V = Πr2?h *Find the area of the base shape and multiply it by the height (how much it’s being stacked by) Day 1 ~ Examples: 1) 4 in l = 5 w = 4 h = 6 6 in 5 in 4 in 20 in2 V = l?w?h base shape is a rectangle (A= l?w or b?h) 5 in = 5 ? 4 ? 6 x 6 in = 120 in3 V = 120 in3 U TRY: U TRY: 4.5 cm 8 in 11 in 9 cm 3.8 cm 7 in = 8 ? 7 ? 11 = 4.5 ? 9 ? 3.8 V = 616 in3 V = 153.9 in3 Day 2 ~ Examples: 16 cm2 h = 11 cm 1) 2) l = 14 w = 12 h = 20 V = ?l?w?h V = Bh = ?14 ? 12 ? 20 = 16cm2 ? 11 cm V = 1,680 in3 = 176 cm3 **get the area of the “base shape” and multiply by the height! U TRY: 3) 7 cm 4 cm 3 cm 4 cm = ? ? 3 ? 4 ? 7 base shape is a triangle (A= ? l?w or ?b?h) 6 cm2 3 cm V = 42 cm3 x 7 cm = 42 cm3 Day 3 ~ Examples: Examples: 1) 4 in Π = 3.14 r = 4 h = 6 6 in V =Πr2?h base shape is a circle (A= Πr2) 4 in = 3.14 ? 42 ? 6 x 6 in = 301.44 in3 50.24 in2