Question
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?
a. The volume is 4 times larger.
b.The volume is 3 times larger.
c. The volume is the same. d. The volume is doubled
how does the volume change?
a. The volume is 4 times larger.
b.The volume is 3 times larger.
c. The volume is the same. d. The volume is doubled
Answers
GPT 3.5
The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.
If the width is changed to 2w, the new volume would be V' = (21)(2w)(h) = 42wh.
Comparing the new volume V' with the original volume V, we can see that V' is twice the original volume V.
Therefore, the volume is doubled (option d).
If the width is changed to 2w, the new volume would be V' = (21)(2w)(h) = 42wh.
Comparing the new volume V' with the original volume V, we can see that V' is twice the original volume V.
Therefore, the volume is doubled (option d).