Mr.Woods' Math Class



60866780U1200U125290820103836Geometry CC00Geometry CC5108575-39370Lesson 600Lesson 660579000 00 000010160097155NYS COMMON CORE MATHEMATICS CURRICULUM00NYS COMMON CORE MATHEMATICS CURRICULUMObjective: SWBAT calculate the density of an object by using the formula d=mv.Name: ____________________________________ Date: ____________ Period: _____________Lesson 6: DensityDo Now: A box in the shape of a cube has a side length of 9 inches. What is the volume of the cube?Density is a measure of how much mass is located within a specific volume of space.Density=MassVolumeMass can be measured in grams (g), pounds (lbs) , or kilograms (kg). Therefore, the labeling units for density can be:g/unit3 lbs/unit3kg/unit3Ex 1) If the cube from the Do Now weighs 100 pounds, what is the density of the cube, to the nearest tenth?Ex 2) Jordan wishes to make a lawn ornament in the form of a solid sphere. The clay being used to make the sphere weighs 0.06 pound per cubic inch. If the sphere’s radius is 3 inches, what is the weight of the sphere, to the nearest pound? When dealing with these types of problems, be very aware of the units mentioned! You may have to use a conversion chart given to you on your reference sheet. Additionally, you must recall these conversions you learned in previous math and science classes. *These are NOT given to you on your reference sheet*center66151 meter = ___________ centimeters1 kilogram = ___________ grams001 meter = ___________ centimeters1 kilogram = ___________ gramsEx 3) Convert each of the following:5 cm = _____________ m3.2 m = _____________ cm50.7 kg = _____________ g37.21 g = _____________kg23 ounces = _____________pounds5 pounds = ____________ kilograms11.2 cm = ____________m8.5 liters = _____________ gallonsEx 4) A cylinder has a height of 15 inches and a radius of 5 inches. If the density of the cylinder is 0.35 g/in3, what is the weight of the cylinder in kilograms?Ex 5) A cone has a mass of 14.5 pounds and a volume of approximately 100.5 cubic feet. Find the density of the cone in kg/ft3.Ex 6) A pyramid with a square base with a side length of 8 cm and a height of 19.4 cm has a density of approximately 0.33 g/cm3. What is the mass of the pyramid?ClosureGiven the mass of an object as 57 grams and the volume is 89 in3, find the density of the object in kg/ft3.Homework1. If the volume of an object is 60 in3 and the mass is 42 kg, find the density of the object.2. If an object with a volume of 288 ft3 has a density of 0.27 lbs/ft3, what is the weight of the object in kilograms? ................
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