A rectangular prism has dimensions /, w, and h. If the width is changed to 2w and the length is changed to 21, how does the volume change?
The volume is the same.
The volume is 3 times larger.
The volume is 4 times larger.
The volume is doubled
Let's consider the original volume of the rectangular prism:
V = lwh
Now, if the width is changed to 2w and the length is changed to 2l, the new volume would be:
V_new = (2l)(2w)(h) = 4(lwh)
Comparing the new volume to the original volume:
V_new = 4V
Therefore, the volume is 4 times larger when the width is changed to 2w and the length is changed to 2l.