PSAT Hard Math Problem

<p>What is the length, in inches, of an edge of a cube that has the same volume as a rectangular solid with length 3 inches, width 3/4 inch, and height 3/2 inches.?</p>

<p>What I did was I found the volume of the rectangular solid (3.375) and then divided that by 3 to get 1.125. But, the answer is 1.5 and I don't understand how I should arrive at that.</p>

<p>You divided by 3 when you should’ve taken the cube root.</p>

<p>You got the volume of the rectangular solid right (3.375). To find the side length of a cube with that volume, you need to take the cube root (since V = s^3 for a cube). </p>

<p>(3.375)^(1/3) = 1.5</p>

<p>Instead of dividing by three, you need to take the third root.</p>

<p>Edit: I guess I was two minutes too late.</p>

<p>volume of a cube is found by l x w x h, not 3 x l</p>

<p>Nevermind…</p>

<p>if you look at the problem - it is 3 x 3/4 x 3/2 = 3x3x3/2/2/2
Cube has same three sides so you get 3/2</p>

<p>Here you go! Good logic trumps a calculator. :)</p>