Difference between revisions of "2020 AMC 10B Problems/Problem 2"
(Created page with "==Problem== What is the value of <cmath>1-(-2)-3-(-4)-5-(-6)?</cmath> <math>\textbf{(A)}\ -20 \qquad\textbf{(B)}\ -3 \qquad\textbf{(C)}\ 3 \qquad\textbf{(D)}\ 5 \qquad\tex...") |
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==Solution== | ==Solution== | ||
| − | A cube with side length <math>1</math> has volume <math>1^3=1</math> | + | A cube with side length <math>1</math> has volume <math>1^3=1</math>, so <math>5</math> of these will have a total volume of <math>5\cdot1=5</math>. |
| − | A cube with side length <math>2</math> has volume <math>2^3=8</math> | + | A cube with side length <math>2</math> has volume <math>2^3=8</math>, so <math>5</math> of these will have a total volume of <math>5\cdot8=40</math>. |
<math>5+40=\boxed{\textbf{(E) }21}</math> ~quacker88 | <math>5+40=\boxed{\textbf{(E) }21}</math> ~quacker88 | ||
Revision as of 16:33, 7 February 2020
Problem
What is the value of
![\[1-(-2)-3-(-4)-5-(-6)?\]](http://latex.artofproblemsolving.com/9/4/c/94cdfebdc087637cc5450da458e0db822c81da88.png)
Solution
A cube with side length 
has volume 
, so 
of these will have a total volume of 
.
A cube with side length 
has volume 
, so of these will have a total volume of 
.
~quacker88
