<p>How many solid wood cubes, each with a total surface area of 96 square centimeters, can be cut from a solid wood cube with a total surface area of 2400 centiments if no wood is lost in the cutting. (page.509)</p>
<p>a) 5
b) 25
c) 30
d) 80
e) 125</p>
<p>i thought it was b, but answers tell me otherwise.</p>
<p>is it 125, b/c that's what I got</p>
<p>The answer should be e, 125. </p>
<p>The side length of each small cube = sqrt(96/6) = 4</p>
<p>because there are 6 faces that make up surface area and each is a square.</p>
<p>Apply that logic to the larger cube, you get 20</p>
<p>4^3 = 64
20^3 = 8,000</p>
<p>this is the volume of each small cube and the big cube</p>
<p>8000/64 = 125 small cubes that can be made with all the big solid cube's wood.</p>
<p>cool, exactly what i did</p>
<p>yup 125 is correct</p>