## anonymous one year ago What is the volume of a 75 cubic inches rectangular prism if scaled down by 1/10? I will give medals and fan!

1. anonymous

@brunomcv

2. anonymous

@jim_thompson5910

3. anonymous

@SolomonZelman

4. jim_thompson5910

Each dimension is scaled by 1/10?

5. anonymous

Yea

6. anonymous

@jim_thompson5910

7. amistre64

8. anonymous

Height x width x length

9. amistre64

good, so 75 = lwh now what happens when we divide each linear measure by 10? V = l/10 * w/10 * h/10

10. anonymous

I don't Know Im sorry

11. amistre64

$V=\frac{l}{10}\frac{w}{10}\frac{h}{10}=\frac{lwh}{10^3}$ but we are told what lwh equals already, its 75 so what is the value of the new Volume?

12. anonymous

each of three dimensions gets scaled down by $$1/10$$, so the volume scales by $$(1/10)^3=1/10^3=\dots$$

13. amistre64

if its scaled down by 1/10, doesnt that mean that we have 9/10 to deal with in the volume?

14. anonymous

L 7 1/2 over 10 w 4 over 10 h 2 1/2 over 10

15. amistre64

the actual numbers for l,h, and w are irrelevant. lwh = 75 if we scale down by 1/10 ... thats the trouble spot to read thru. it reads to me as: (1 - 1/10) is our scale factor. so instead of altering it by (.10)^3 we would be altering it by (.90)^3 the question is, how correct is my thinking?

16. anonymous

I don't really know can u please just solve it for me....

17. amistre64

no, i cant just solve it for you.

18. anonymous

Please I'm begging you i am horrid at math its not funny

19. amistre64