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2020 AMC 10B Problems/Problem 2

Revision as of 15:32, 7 February 2020 by Quacker88 (talk | contribs) (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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Problem

What is the value of \[1-(-2)-3-(-4)-5-(-6)?\]

$\textbf{(A)}\ -20 \qquad\textbf{(B)}\ -3 \qquad\textbf{(C)}\ 3 \qquad\textbf{(D)}\ 5 \qquad\textbf{(E)}\ 21$

Solution

A cube with side length $1$ has volume $1^3=1$. $5$ of these will have a total volume of $5\cdot1=5$.

A cube with side length $2$ has volume $2^3=8$. $5$ of these will have a total volume of $5\cdot8=40$.

$5+40=\boxed{\textbf{(E) }21}$ ~quacker88

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