Volume Pretest Don’t freak out…it’s not for marks! You’ll need a piece of looseleaf, and your calculator. 1) What is the VOLUME of a cube with a side length of 5 cm? 2) What is the VOLUME of this shape? 3) How many mm3 is 250 cm3? 4) 𝟏 𝟑 𝒙𝟐=𝟐𝟒𝟑. Solve for x. 5) If the volume of this prism is 3600 m3, what is the unknown measure? 10 m 5 m 3 m 30 m 15 m ?

Answers 125 cm3 150 m3 250 000 mm3 X = 27 8 m

#learning Today we will explore and convert different units used to measure volume. So that we can measure space of solids and liquids. Keys to Success: I can identify and convert metric units I can covert units of capacity (mL/L) I can convert between the two, knowing that 1cm3 = 1mL and 1dm3 = 1L

Lesson 8.1: Units of Volume and Capacity

Recap of Unit Conversion (don’t write this!) Ex 1: 150 cm = _______ mm? You move 1 step to the right, so you just multiply by 10! 150 x 10 = 1500 mm Ex 2: 150 cm2 = _______ mm2? 150 x 100 = 15 000 mm2 Can you follow the pattern? Ex 3: 150 cm3 = ________ mm3? 150 x 1000 = 150 000 mm3

Units of Volume x 1000 x 1000 x 1000 x 1000 x 1000 x 1000 km3 hm3 dam3 dm3 cm3 mm3 ÷ 1000 ÷ 1000 ÷ 1000 ÷ 1000 ÷ 1000 ÷ 1000 Ex 1: 250 dam3 = _______ cm3? Ex 2: 15.4 mm3 = _______ dm3?

Liquids! If you are using a recipe that is written using the Metric system, you won’t see “pour 25000 mm3 of milk into the flour.” Look at the next pop can, or milk carton, or gas station and you will see units of capacity!

1 mL = __1__ cm3 1 L = 1 dm3 Units of capacity: x 10 x 10 x 10 x 10 kL hl daL L dL cL mL ÷ 10 ÷ 10 ÷ 10 ÷ 10 ÷ 10 ÷ 10 Converting between the two measurements for volume and capacity 1 mL = __1__ cm3 1 L = 1 dm3

Example problems Convert the following to mL 3 cm3 0.05 m3 PRACTICE: Page 108 and 109

Example problems Convert the following to mL 3 cm3 0.05 m3 X 1000 x 1000 = 50 000 cm3 = 50 000 mL ÷ 1000 = 4 000 cm3 = 4000 mL

volume of a prism = area of base x height Practice 1. PRACTICE: Workbook, page 108 &109 2. FINISHED? Try page 111, #2 (a-f) Note: volume of a prism = area of base x height