Density Calculation Students will be able to use the “Magic Triangle” to solve density problems.

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Presentation transcript:

Density Calculation Students will be able to use the “Magic Triangle” to solve density problems.

g/cm3 are for solids and gases. What is the formula for density? Density = Mass / Volume When doing these problems, your answers will have the same units as those that were used in the problem. g/ml are for liquids g/cm3 are for solids and gases.

Look at the following example: 4x – 6 = 10 How many of you can solve for an unknown variable in a formula? Look at the following example: 4x – 6 = 10 First, you’d need to get all the numbers on one side of the “=“ Using your orders of operation, add 6 to both sides of the equation. 4x – 6 (+6)= 10+6 4x = 16 Divide by 4 on both sides x = 4 Now not all of you can do this, so the “Magic Triangle” will help and it’s a tool for anyone to use.

÷ ÷ x First, here’s what the triangle will look like: Copy it down along with the 4 steps to solving. 1. Write down what you know and don’t know in the problem Mass 2. Cover-up the variable that you’re trying to find. Read what the triangle says to do. Write down the formula. ÷ ÷ x Density Volume 3. Plug-in the numbers for the variables and solve 4. Make sure to have units on your answers.

Example 1 What is the mass of 47 cm3 piece of gold that has a density of 19.3 g/cm3 ? Step 1: Write what you know and don’t know? m= ? V= 47 cm3 D= 19.3 g/cm3 Step 2: Use the triangle and cover-up the ‘m’ and write down the formula that is shown. m = D x v Step 3: Plug-in the numbers and solve. m = (19.3 g/cm3 ) x (47 cm3 ) m = 907.1 g

Assignment: “Density Practice Problems W.S.” Problems 1 - 9 Do your calculations on another piece of paper and make sure to show your work like in example 1 Due by Friday. You can use calculators to help you on the math.