Math Assignments
12-10 Cubic Measurement
Last week, we examined perimeter and area of polygons. In perimeter, we measured the length around the shape. In area, we found how much space a polygon covered by looking at length and width (or base and height) and counting squares and giving our answers in units squared (ft.2, cm2, in2 - imagine the "2" for squared is in superscript or "floating" as an exponent.)
Today we are going to start looking at cubic measure. This measures how much a 3D figure can hold. We do this by counting cubes that have a length, width, and height. As we touched on in class Friday, these units will be cubed (since we are counting cubes!) and will be measured in cubic units (ft3, cm3, mi3 - again imagine the "3" for cubed is "floating" as an exponent). Let's look at the following image.
Today we are going to start looking at cubic measure. This measures how much a 3D figure can hold. We do this by counting cubes that have a length, width, and height. As we touched on in class Friday, these units will be cubed (since we are counting cubes!) and will be measured in cubic units (ft3, cm3, mi3 - again imagine the "3" for cubed is "floating" as an exponent). Let's look at the following image.
In this image, we can see that they labeled the figure as being 8 cm long, 5 cm wide, and 3 cm tall. You can count the cubes across, back, and up to see how they got those numbers. When you use the formula (which should be on your index cards) V = l x w x h, you can plug the numbers in to get V = 8 x 5 x 3. This will give you an answer of 120 cm3. Please make sure you multiplied - a number of you were adding when we did area instead of multiplying - don't make the same mistake here!
For today, we will just be counting the cubes (just like when we counted squares before using formulas for area.)
For today, we will just be counting the cubes (just like when we counted squares before using formulas for area.)
12-10 Cubic Measurement Notes
To recap, let's take a few notes in your CB. Copy the following information into your copybook:
12-10 Cubic Measurement
12-10 Cubic Measurement
- VOLUME: total number of cubes a polygon can hold
- Since we look at Length, Width, and Height, volume is measured in units cubed/cubic units (in3, mm3, ft3)
Cubic Measurement Assignment
Turn to page 400 in your TB. Put the heading TB 400 #1-8.
For this assignment, you will count the cubes and write the answer in your CB. You do not have to draw the pictures. Please watch, #4 - it has a "missing" cube, so make sure you only count the ones that are there. Also watch #2 and #8 - these ones are not perfect rectangular prisms, so you can't just count length, width, and height.
When you finish, post your answers to a blog on your math page. Remember to include units cubed in your answer - just put a 3 (in3, cm3, etc) after the unit of measurement, don't worry about making it small or floating.
For this assignment, you will count the cubes and write the answer in your CB. You do not have to draw the pictures. Please watch, #4 - it has a "missing" cube, so make sure you only count the ones that are there. Also watch #2 and #8 - these ones are not perfect rectangular prisms, so you can't just count length, width, and height.
When you finish, post your answers to a blog on your math page. Remember to include units cubed in your answer - just put a 3 (in3, cm3, etc) after the unit of measurement, don't worry about making it small or floating.
Homework Assignments
Now that you've completed your math work to practice cubic measure, try working on your homework
- WB 142 (complete #1-9 and skip #10-14) - you may use calculator to help you
- WB 219 - you may use your calculator to help you
- CYP due Friday - most of those problems you can answer right now!
- Quiz Friday on Perimeter, Area, and Volume
- WB 142 (complete #1-9 and skip #10-14) - you may use calculator to help you
- WB 219 - you may use your calculator to help you
- CYP due Friday - most of those problems you can answer right now!
- Quiz Friday on Perimeter, Area, and Volume
Volume Game
Here's a link to a cubic measure game I found if you want to practice some more.
http://www.sheppardsoftware.com/mathgames/geometry/shapeshoot/VolumeShapesShoot.htm
http://www.sheppardsoftware.com/mathgames/geometry/shapeshoot/VolumeShapesShoot.htm