A rectangular prism has dimensions /, w, and h. If the width is changed to 2w and the length is changed to 0.51, how does the volume change?
a. The volume is 3 times larger.
b. The volume is the same.
c. The volume is doubled.
d. The volume is 4 times larger
To find how the volume changes, we need to compare the original volume to the new volume.
The original volume of the rectangular prism is given by V = lwh.
If the width is changed to 2w and the length is changed to 0.51, the new volume is given by V' = (0.51)(2w)(h) = 1.02wh.
Comparing the original volume to the new volume, we have V' / V = (1.02wh) / (lwh) = 1.02.
Therefore, the volume is 1.02 times larger, but this is not equivalent to any of the options provided. Thus, none of the given options accurately represents how the volume changes.