A rectangular prism has dimensions /, w, and h. If the width is changed to 2 wand the length is changed to 21, how does the volume change?
The volume is the same.
The volume is doubled.
The volume is 3 times larger.
The volume is 4 times larger.
The volume of a rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height.
If the width is changed to 2w, and the length is changed to 21, the new volume can be expressed as V' = (21)(2w)(h) = 42wh.
Comparing the new volume V' with the original volume V, we have V'/V = (42wh)/(lwh) = 42/1 = 42.
Therefore, the volume is 42 times larger than before, which means the volume is 42 times the original volume.
So, the correct answer is: The volume is 42 times larger.