In this section, you will create prisms and compare their volumes.
The image below is a screenshot and link to an online applet tool that you will use. Click on the image to launch the applet in a new window/tab.
Be sure that the Draw Grid box is checked and Explore Mode is filled in.
At the bottom there are sliding bars to select the width, depth, and height of the prisms and a place to select Rectangular prism. The volume and surface area are calculated for you.
Create each of the designated prisms. In your notes, answer the questions below noting how the changes of the dimensions of the first prisms affected the volume.
To check your answers, click on the blanks.
Prism 1 | Length = 1 | Prism 2 | Length = 4 |
Width = 1 | Width = 2 | ||
Height = 1 | Height = 3 | ||
Volume | Interactive button. Assistance may be required. __________ 1 | Volume | Interactive button. Assistance may be required. __________ 24 |
How many dimensions were changed?Interactive button. Assistance may be required. __________ 3
Scale factor(s)Interactive button. Assistance may be required. __________ 4, 2, 3
Scale factors or volume change?Interactive button. Assistance may be required. __________ 24
Prism 1 | Length = 2 | Prism 2 | Length = 3 |
Width = 1 | Width = 1 | ||
Height = 3 | Height = 1 | ||
Volume | Interactive button. Assistance may be required. __________ 6 | Volume | Interactive button. Assistance may be required. __________ 3 |
How many dimensions were changed?Interactive button. Assistance may be required. __________ 2
Scale factor(s)Interactive button. Assistance may be required. __________ 1.5, one-third
Scale factors or volume change?Interactive button. Assistance may be required. __________ 0.5
Prism 1 | Length = 1.5 | Prism 2 | Length = 6 |
Width = 1.5 | Width = 6 | ||
Height = 2 | Height = 8 | ||
Volume | Interactive button. Assistance may be required. __________ 4.5 | Volume | Interactive button. Assistance may be required. __________ 288 |
How many dimensions were changed?Interactive button. Assistance may be required. __________ 3
Scale factor(s)Interactive button. Assistance may be required. __________ 4
Scale factors or volume change? Interactive button. Assistance may be required. __________ 43 or 64