Question
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
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
Answers
GPT 3.5
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.
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.