Difference between revisions of "2025 AMC 8 Problems/Problem 8"

Revision as of 18:55, 30 January 2025

Problem

Isaiah cuts open a cardboard cube along some of its edges to form the flat shape shown on the right, which has an area of 18 square centimeters. What is the volume of the cube in cubic centimeters?

$\textbf{(A)}~3\sqrt{3}\qquad\textbf{(B)}~6\qquad\textbf{(C)}~9\qquad\textbf{(D)}~6\sqrt{3}\qquad\textbf{(E)}~9\sqrt{3}$

Solution

Observe that since the six squares on the net are congruent, each of them has area $\frac{18}{6}=3$ . Hence, the side length of the cube is $\sqrt{3}$ . Its volume is then $(\sqrt{3})^3=\boxed{\textbf{(A)}~3\sqrt{3}}$ . ~cxsmi

Vide Solution 1 by SpreadTheMathLove

https://www.youtube.com/watch?v=jTTcscvcQmI

Video Solution by Thinking Feet

https://youtu.be/PKMpTS6b988

@@ Line 9: / Line 9: @@
 ==Vide Solution 1 by SpreadTheMathLove==
 https://www.youtube.com/watch?v=jTTcscvcQmI
+==Video Solution by Thinking Feet==
+https://youtu.be/PKMpTS6b988

Page

Toolbox

Search