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?

2 3 4 8

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)?

64 8 256 16

When we doubled the side length from 2 to 4, how many times larger was the volume?

4 16 2 8

Algebraically,[br][math]V=\left(2\cdot s\right)^3[/math][br][math]V=[/math] ________[br][math]V=8\times s^3[/math]

[math]2\times s[/math] [math]2\times s^3[/math] [math]2^3\times s^3[/math] [math]2^3\times s[/math]

Changing Cube Dimensions

Predict

Investigate

Information: Changing Cube Dimensions