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

Objective: To develop and use a formula for the volume of a

rectangular prism

Volume of Rectangular Prisms

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.

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

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 plane1

unit

1 unit

1 unit

How do we measure volume?Cubed units can be written in a

variety of ways:inches cubedinches³in.³ 1

unit

1 unit

1 unit

Finding Volume of a Rectangular PrismTo 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.leng

th

width

height

Finding Volume of a Rectangular PrismTo 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

7 feet

8 feet

42 x 8 = 336 feet³

Math Journal page 328Work 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.

Let’s talk about it.

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.

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:

baseheightfacesedges

vertices

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.

16 cubes

8 cubes

24 cubes

24 centimeters ³24 cm. ³

On to Box BCut out Box BUse 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.

And Box B contains….

45 cm³

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.