If Aluminum has a density of 2.7g/cm3 What is the mass of a cube of aluminum that measures 9.3 cm on a side?
First, we need to find the volume of a cubeFortunately, this is very easy: the volume of a cube is simply the length of a side (they're all equally long) cubedThat is, (length)^3 (length)(length)(length)In this case, the volume of the cube is (9.3cm)^3 (9.3cm)(9.3cm)(9.3cm) 804.357 cm^3 Now, recall that the density of an object is its mass divided by the volume: density(mass)/(volume) If we want to find the mass, that's simply mass(density)(volume)We're given the density as (2.7 g/cm^3), and we've computed the volume to be (804.357 cm^3)(density)(volume)(2.7 g/cm^3)(804.357 cm^3)2171.7639g Let's check our units to make sure we did the math correctly: (g/cm^3)(cm^3)(g)Excellent! That's a very precise answer, and unfortunately it's a false precision - we don't know the density to anything more accurate than one place past the decimal point, so we must round our answer to 2171.8g(If you don't understand why, ask your teacher about significant digits and rounding.) There are 1000 grams in a kilogram, so we can express our answer in kilograms as follows: (2171.8g)(1kg/1000g)2.1718kg Again, let's check our units: (g)(kg/g)(kg)Perfect! Thus, the cube of aluminum weighs 2.1718 kilogramsI hope this clears things up.
Every time I bring this to parties, it is GONE within a half hourIt WILL BE the best chocolate flan you have ever had!!! Ingredients 1 box Devil's Food cake mix (Duncan Heins prefered) 1 can (12 oz) Coke 1 can Evoraped milk (regular, not light) 1 can Condensed milk 3 Eggs 1 tablespoon Vanilla extract 1 bottle Carmel Heat oven to 350 degrees 1.) Follow instructions to make cake, but use the can of coke instead of water2.) Set cake mix aside and make flan 3.) Put the flan ingredients in a blender and mix well 4.) Spray the bundt pan with Pam and then cover the bottom with carmel 5.) Pour cake mix into bundt pan6.) Pour the flan mix gently down one side of the panThe flan will go to the bottom and the cake mix will raise up a bit as the flan mixture fills the bottom of the pan7.) Set the bundt pan in a larger pan or tray with waterYou are creating a double boiler, but you only need a couple inches of water8.) Put it all in the oven and it will cook for at least 45 minutes and as much as an hour9.) Check the cake doneness with a toothpickThe cake will stay more moist than most cakes you've ever made and you will see it separate a bit from the pan when it is done10.) Let is cool and regigerate for several hours11.) Take it out two hours before you plan to serveTurn the bundt pan over and let it sit while warming to room temperature12.) The bundt pan should then lift off to reveal a layer of flan, topped with carmel sitting atop a very moist cake.
Flan Ingredients: 1 can condensed milk 1 can evaporated milk 4 eggs 1 tbsp almond extract pinch of salt Caramel Ingredients: 1/2 cup dark brown sugar 3 tbsp water First, in a small pan, combine dark brown sugar and waterStir until you get a thick caramel (about 2 min)Place caramel in nonstick round or rectangular pan, swirl around and set asidePreheat oven (conventional or toaster) to 350 degreesNext, combine eggs, almond extract and salt and mixAdd evaporated and condensed milk to eggs and mix againCheck to see that the caramel is hardened and place flan mixture in panPlace in oven and set timer for 60 minutesIf knife comes out clean when placed in center, it's readyPlace at room temperature or refrigerator until coolLastly, invert flan onto large dish and chill for at least one hour before servingEnjoy! VENUS
