Difference between revisions of "2002 AMC 8 Problems/Problem 13"

(Solution)
 
Line 14: Line 14:
 
<math>8\cdot125=
 
<math>8\cdot125=
 
\boxed{\text{(E)}\ 1000}</math>.
 
\boxed{\text{(E)}\ 1000}</math>.
 +
 +
==Video Solution by WhyMath==
 +
https://youtu.be/JnXzlMhq6pI
  
 
==See Also==
 
==See Also==
 
{{AMC8 box|year=2002|num-b=12|num-a=14}}
 
{{AMC8 box|year=2002|num-b=12|num-a=14}}
 
{{MAA Notice}}
 
{{MAA Notice}}

Latest revision as of 13:31, 29 October 2024

Problem

For his birthday, Bert gets a box that holds 125 jellybeans when filled to capacity. A few weeks later, Carrie gets a larger box full of jellybeans. Her box is twice as high, twice as wide and twice as long as Bert's. Approximately, how many jellybeans did Carrie get?

$\text{(A)}\ 250\qquad\text{(B)}\ 500\qquad\text{(C)}\ 625\qquad\text{(D)}\ 750\qquad\text{(E)}\ 1000$

Solution

Since the volume ratio is equal to the sides ratio cubed, then the ratio of the larger box's volume to the smaller one is 2 cubed.

$2^3=8$

Now multiply 125 (the number of jellybeans that Bert's box can hold) by 8.

$8\cdot125= \boxed{\text{(E)}\ 1000}$.

Video Solution by WhyMath

https://youtu.be/JnXzlMhq6pI

See Also

2002 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 12
Followed by
Problem 14
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png