Question

How does the volume of a rectangular prism change if the width is reduced to 2004-06-01-04-00_files/i0280000.jpg of its original size, the height is reduced to 2004-06-01-04-00_files/i0280001.jpg of its original size, and the length is reduced to 2004-06-01-04-00_files/i0280002.jpg of its original size?

Answer 1

can't see hwy you don't just write the fractions, like 1/3, 2/√5, etc.

Anyway, since volume is

length * width * height

then if one or more of those dimensions are scaled by a factor of r,s,t respectively, then the new volume is

(length*r)*(width*s)*(height*t)
= (r*s*t)*(length*width*height)

that is, just multiply all the scale factors and that is how much the volume has grown or shrunk.