<p>Hi guys I am reviewing the questions I got wrong in the blue book in order to perfect its logic to solve good on exam here some questions I don't get.</p>
<p>Five different points A, B, C, D, and E lie on a line in that order, The length of AD is 4.5 and the length of BE is 3.5. If the length of CD is 2, what is one possible value for the length of BC?</p>
<p>Question 18 test 2 section 2 page 457.</p>
<p>The right circular cylinder above has diameter d and height h. Of the following expressions, which represents the volume of the smallest rectangular box that completely contains the cylinder?</p>
<p>1)DH
2)D^2H
3)DH^2
4)D^2H^2
5)(D + H)^2;</p>
<p>A cube with volume 8 cubic centimeters is inscribed in a sphere so that each vertex of the cube touches the sphere. What is the length of the diameter, in centimeters,of the sphere?</p>
<p>1)2
2)6^1/2
3)2.5
4)2(3^1/2)
5)4</p>
<p>1) The problem appears a lot more difficult than it really is… don’t let that trick you. All you need is a number that, when added to 2, is less than 4.5 and that when added to 2 is less than 3.5. This simply translates to any number less than 1.5. If you draw the number line out, marking the lengths of given segments this will make sense, being that there are no restrictions placed on AB and/or DE.</p>
<p>2) This one is very simple. First, think about the question and visualize. Don’t shoot off and start finding the radius, etc. You only need to reason mentally for this. The smallest rectangular prism that can contain this cylinder is the one that will have width D and height D, and length h, ie. one that will conform most easily around the cylinder. Therefore, the volume of the box = D^2h = Answer #2.</p>
<p>3) This one’s nigh impossible to draw, so just imagine a cube with dimensions 2x2x2 cm. inside a sphere (make sure you realize that each of the cube’s 8 vertices is touching a point on the sphere). What’s the diameter of the sphere? Simple; it is the length of a diagonal of the cube, which cuts right through the middle and links 2 points on opposite sides of the sphere. So your answer = 2 x (square root of 3) = Answer #4</p>