Tutors Answer Your Questions about Surface-area (FREE)
Question 271986: Can someone please help me with this word problem:
The area of a rectangle with the perimeter 100 in. is given by the formula: A=50w-w^2 where w is the width. Find the value of w that produces the maximum area.
the only way i could try to figure this out is to make columns with the length and width dimensions that equal 100 in perimeter and plug the width into the equation. I started using the width of 45 and worked down to 30 which has the area of 600. But since a square is also a rectangle, do I use 25? Is there an easier way to figure this? Thanks
Click here to see answer by ankor@dixie-net.com(15746)   |
Question 271986: Can someone please help me with this word problem:
The area of a rectangle with the perimeter 100 in. is given by the formula: A=50w-w^2 where w is the width. Find the value of w that produces the maximum area.
the only way i could try to figure this out is to make columns with the length and width dimensions that equal 100 in perimeter and plug the width into the equation. I started using the width of 45 and worked down to 30 which has the area of 600. But since a square is also a rectangle, do I use 25? Is there an easier way to figure this? Thanks
Click here to see answer by Earlsdon(6294) |
Question 272874: Please help me solve this, if you are trying 2 figure out the length of the side of a square and they only give give you the area, how do you figure it out. like they say the area of the square is 1616.04, but how do you figure the length of 1 side of the square. like a shortcut. -thx
Click here to see answer by edjones(7569)  |
Question 271443: Help me find the Area of a cirlce with a shaded spot. The outer ring of the circle is the shaded spot. From center of cirlce to outside ring of circle is 2.3 cm, from center to inside of shaded circle is 1.9cm.
Click here to see answer by stanbon(57967) |
Question 274232: Find the area of the shaded part of this figure. Round the answer to one decimal place. Please note: the photo is of a square box with a circle inside of it. All four corners inside the box around the circle is shaded. There is 10 inches on one side of the outside of the box and there is 10 inches on the bottom outside of the box. Please advise. Thank you.
Click here to see answer by ankor@dixie-net.com(15746) |
Question 274696: Find the function that models the area (A) of an equillateral triange in terms of the length (X) of one of its sides:
Where am I going wrong...please help!
I've began solving as follows:
Length - X
height - h
Area of a triangle is = 1/2 (length times height)
Because this is an equilateral triange, the Length (X) is equal to its Height (H
Therefore,
A= 1/2 (X times X)
A= 1/2 x squared
so, the function is: A(X)=1/2x squared.
I know this is the wrong answer because my textbook gives the final answer but does a horrible job of explaining the solution. Please help! Thanks!
Click here to see answer by scott8148(6628)  |
Question 274701: A Rectangle is inscribed in a semicircle of radius 10. Find a function that models the area (A) of the rectangle in terms of its Height (H).
WOW! I don't even know how to begin on this one. The answer is the textbook is A(h)=2h times square root of 100-h squared.
Please help!
Click here to see answer by scott8148(6628) |
Question 276740: A 20-inch square piece of metal is to be used to make an open-top box by cutting equal-sized squares from each corner and folding up the sides. The length, width, and height of the box are each to be less than 14 inches. What size squares should be cut out to produce a box with volume 550 cubic inches?
What size squares should be cut out to produce a box with largest possible volume?
Click here to see answer by ankor@dixie-net.com(15746) |
Question 277729: are there certain shapes of rectangular prisms that have the least amount of surface area with equal volume? i am trying to redesign a cereal box so that it holds the same amount of cereal but uses less cardboard and creates less waste.
i could use trial and error on different shapes and sizes but was curious if there are general shapes i should start with? thanks
Click here to see answer by scott8148(6628) |
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