Solve Toy. to 3. Try another! 4) 261, vsqs 1/2. Geometry Pd. What's our method? sðnexe->

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1 Name: Geometry Pd Notes Date: Tödaoj s HON can we real-life model ing ou it Model 1) A shipping container is in the shape of a right rectangular prism with a length of 12 feet, a width of 8.5 feet, and a height of 4 feet. The container is completely filled with contents that weigh, on average, 0.25 pounds per cubic foot. What is the weight, in pounds, of the contents in the container? What's our method? Solve Toy 2 Try another! sðnexe-> Model 2) hemispher I tank is filled with water and has a diameter of 10 feet. If water weighs 62.4 pounds per cubic foot, what weight of the water in a full tank, to the nearest pound? SHOW WORK TO SUPPORT YOUR ANSWER CHOICE. 1) 16,336 2) 32,673 to 3 3) 130,690 4) 261, vsqs 1/2

2 There are 2 types of scenarios we encounter that deal with DENSITY Popcntøn pensity vensity of 3D SOu -a ratso of the amanrof a. pop'at m that exists wer a. -L rat10ttaf cmrpares an object's of (vwyw) takes ven area (mss) Let's take a look at population density first! The diagram below shows two towns: Lollipop and West Lollipop. Each dot plotted in their area represents 20 individuals who live in that region. Which town do you think has a greater population density? Justify your answer. Town WRSY Lo +hore Is more LRCOAJR Town Lottipop Tewn West LoCipop Population density = Model 3) During an experiment, the same type of bacteria is grown in two petri dishes. Petri dish A has a diameter of 51 mm and has approximately 40,000 bacteria after 1 hour. Petri dish B has a diameter of 75 mm and has approximately 72,000 bacteria after 1 hour. Determine and state which petri dish has the greater population density of bacteria end of the first hour. : trzss 72,000 - CSO, OO 51 mm Re-yr I Dish dos

3 Now Pensigy of a Solid: To calculate the Pensitv of a solid we use the following formula CAREFVLI Model 4) A en cube has an edge length of 6 centimeters and a mass of grams. Determine the density of the Density cube, to the nearest thousandth. State which type of wood the cube is made of, using the Type of Wood (g/cm3) density table below. Pine Hemlock Elm Birch Ash Ash Maple Oak Model 5) A contractor needs to purchase 500 bricks. The dimensions of each brick are 5.1 cm by 10.2 cm by 20.3 cm, and the density of each brick is 1920 kg/m 3. The maximum capacity of the contractor's trailer is 900 kg. Can the trailer hold the weight of 500 bricks? Justify your answer. a) Notice how density is given in kilograms per meters cubed? convert dimensions of the brick so it's in meters too!, OSI 20, 3cm%.10B b) Now volume of a brick. =.001 oscoog c) Fitl into density formula; find the mass (weight) of one brick. d- q 20 4) Can the trader hold 500 bricks? Justify your answerl ks so SOO

4 we are practicing! 00 A cube has edges of 6cm and a density of 10 g/cm3.what is the mass Of the cube? Give your answer in grams rounded to the nearest hundred if the answer is not exact (o 2. Danielle has a full container of ice cream which has a density of 0.1 pounds per cubic inch. The container is a sphere which has a radius Of 3 inches. Marisa also has a full container of ice cream, which has a density of 0.01 pounds per cubic inch and is contained in a sphere which has a radius of 3 inches. How many more pounds of ice Dan ulleream does Danielle have than Marisa? Round any decimals to the nearest hundredth. MovYìsR Il,30q-1.01 i30qn 3. Last Class, we saw the water tower problem. The water tower in the picture below is modeled by the two-dimensional figure beside it. The water tower is composed of a hemisphere, a 470 cylinder, and a cone. Here we were able to determine that the volume of the water tower is 7650 ft ft Question: The water tower was constructed to hold a maximum of 400,000 pounds of water. If water weighs 62.4 pounds per cubic foot, can the water tower be filled to 85% of its volume and not exceed the weight limit? Justify your answer. IG60(.Ÿs) Hostasc

5 Name: 14-6 Homework Geometry Pd. Date: I s. IS Complete each of the following problems! 1 ' Walter wants to make 100 candles in the shape of a cone for his new candle business. The mold shown right will be used to make the candles. a) Each mold will have a height of 8 inches and a diameter of 3 inches. To the nearest cubic inch, what will be the total volume of 100 candles? n b) Walter goes to a hobby store to buy the wax for his candles. The wax costs $0.10 per ounce. If the weight of the wax is 0.52 ounce per cubic inch, how much will it cost Walter to buy the wax for 100 candles? (062) c) If Walter spent a total of $3 after selling 100 ca dles? or e mo charges $1.95 for each candle, what is Walter's profit Molly wishes to make a lawn ornament in the form o a so i sp ere. e ca ing used to make the sphere weighs.075 pound per cubic inch. If the sphere's radius is 4 inches, what is the weight of the sphere, to the nearest pound? 1) 34 2) 20 3) 15 4) 4 ac8tôÿ2s131 QO

6 VOIoyvv.Q- 3. A hot air balloon hold 74,000 ubic meters of helium, a very noble gas with the density of kilograms per cubicm r. How many kilograms of helium does the balloon contain? A) 740 ) 6, O C) kg D) 414, The population density of Huskyville is 17.5 Huskyvillers per acre. Exactly 840 Huskyvillers live in Huskyville. How many acres does Huskyville cover? Ã(D) (A) 48 acres B 1470 acres (C) 480 acres acres 5. Start Reviewing for the test! a. Write all 2 solids formed translation and dilation: C cha-.k_ What 3 solids have a cross section that is a circle? What solid has a circular base and is formed by a translation? What solid has a cross section parallel to the base of a triangle, and a cross section perpendicular to the base of a What solid would have any cross section produce a circle? spure-/