Math Q

<p>WOW… i can’t believe i didn’t see that. okay thanks for 16. and i get 20 too as well thanks guys!!! i’ll be back with more.</p>

<p>This is from the january 06 QAS. Section 2. Question 17, and question 19… I don’t have a scanner so unfortunately, i can’t load it…</p>

<p>17.In the figure above, a shaded polygon has equal sides and equal angles has been covered partially with a sheet of blank paper. if x+y=80, how many sides does the figure have?</p>

<p>It looks like the top of a hexagon with with paper cutting it so it becomes a little trapezoid, with x as the left side adjacent with the paper and the y as the left side adjacent with the paper.</p>

<p>answers:a.10b.9c.8.d.7.e.6</p>

<ol>
<li>A sphere of radius r inside a cube touches each one
of the six sides of the cube. What is the volume of the
cube, in terms of r ?
(A) r3
(B) 2r3
(C) 4r3
(D) 4
3
�� r3
(E) 8r3</li>
</ol>

<p>answer is e
but why?</p>

<p>it is e because:</p>

<ol>
<li>r is the radius of the sphere so 2r would be the diameter of the sphere</li>
<li>the diameter (2r) would equal the length of a side of the cube since the sphere touches all sides of the cube</li>
<li>to find the area of the cube (since all the sides are the same), you just multiply 2r x 2r x 2r or (2r) to the third power. This equals 8r3 which is the answer e.</li>
</ol>

<p>Good luck</p>

<p>thanks for 16. can someone answer the one before it?</p>