MTH1W Exploring Changes in Dimensions for 2D & 3D Shapes
Exploring how changing a dimension of a 2D or 3D shape affects the perimeter, area and volume.
Table of Contents
- Changing 2D Dimensions
- Circle Radius, Circumference and Area
- Changing Trapezoid Dimensions
- Changing 3D Dimensions
- Changing Cube Dimensions
Circle Radius, Circumference and Area
Change the radius R to see the changes in the Circumference and Area of the circle
What happens when we double the radius?
Change the value of the radius, R. How does the circumference change when you double the radius? [br]R=1 to R=2? [br]R=2 to R=4?[br][br]Select all that are true.
Changing Cube Dimensions
Predict
If you double the side length of the cube, how will the volume change?
Investigate
If the side length is 2, what is the volume in the diagram, to the nearest whole number?
Use the blue vertices (corners) labelled A, B, and C to change the side length. Notice the changing volume.[br]What is the volume when the side length is 4 (to the nearest whole number)?
When we doubled the side length from 2 to 4, how many times larger was the volume?
Algebraically,[br][math]V=\left(2\cdot s\right)^3[/math][br][math]V=[/math] ________[br][math]V=8\times s^3[/math]