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Volume of Rectangular Prisms

Volume of Rectangular Prisms. Objective: To develop and use a formula for the volume of a rectangular prism. What is volume ?.

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Volume of Rectangular Prisms

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  1. Volume of Rectangular Prisms Objective: To develop and use a formula for the volume of a rectangular prism

  2. What is volume? • The volume of a solid object such as a brick or a ball is a measure of how much space the object takes up. The volume of a container such as a box is a measure of how much the container will hold.

  3. How do we measure volume? • Volume is measured in cubic units. (cubic inches, cubic feet, etc.) • We said a square unit is a measure with two sides being a related unit of length. 1 unit 1 unit

  4. How do we measure volume? • Volume is measured in cubic units. (cubic inches, cubic feet, etc.) • A cubed unit of measure is a measure with three sides being a related unit of length. The third side comes off the paper into the 3-dimensional plane 1 unit 1 unit 1 unit

  5. How do we measure volume? • Cubed units can be written in a variety of ways: • inches cubed • inches³ • in.³ 1 unit 1 unit 1 unit

  6. Finding Volume of a Rectangular Prism • To find the volume of a rectangular prism, all you need to know are the length and width of its base and its height. • These are called the dimensions of the prism. length height width

  7. Finding Volume of a Rectangular Prism • To find the volume using these dimensions, multiply the length x width (6 x 7 = 42 feet) • This represents one layer (or one foot). Now multiply this surface area by the number of layers (or height) 6 feet 42 x 8 = 336 feet³ 8 feet 7 feet

  8. Math Journal page 328 • Work through page 328 • You will need to use Activity sheet 7 which is located in the back of your math journal. • Please follow the directions and do not tear out the page or cut our the shapes.

  9. Let’s talk about it.

  10. Now you can cut! • Remove Activity Sheet 7 from the back of your journal. • Cut out the pattern for Box A (only) along the outside edges. • Fold it on the dashed lined and tape it to make an open box. • Bring your box to a teacher. In order to advance to the next level, you need to collect 24 centimeter cubes.

  11. Now you can cut! • Bring your box to a teacher. In order to advance to the next level, you need to collect 24 centimeter cubes. • In order to get the cubes, you will need to identify the following parts of the box: base height faces edges vertices

  12. How many? • How many centimeter cubes cover the bottom of the box? • Add a second layer. How many total cubes are in the box now? • Add a third layer. How many cubes are in the box? • What is the volume of the box if measured in cubic centimeters? Think about how you would write that. 8 cubes 16 cubes 24 cubes 24 centimeters ³ 24 cm. ³

  13. On to Box B • Cut out Box B • Use the grid to make a prediction of the volume. • Next, fill the base with centimeter cubes to find the surface area of one layer. • Using that information, determine the area based on the number of layers. • Use the blocks to prove your answer. You will need to share blocks with your neighbor.

  14. And Box B contains…. 45 cm³

  15. Open your Math Journal to page 329 Complete pages 329 and 330 with a partner. Show your completed work to a teacher to receive your homework assignment.

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