Question

I really need help with this! Please help?!

A rectangular solid is dilated by a factor of 0.5.

How many times larger is the volume of the resulting solid than the volume of the original solid?

Answer 1

Volume of a rectangular solid is `V=abc` where, `a,b,c` are length,breadth and height respectively.

So,`(delta V)/V = (delta a)/a + (delta b)/b +(delta c)/c`

Given, `(delta a)/a = (delta b)/b =(delta c)/c=0.5`

So,`(deltaV)/V =0.5+0.5+0.5=0.15`