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Tutors Answer Your Questions about Surface-area (FREE)
Question 240522: need a rectangle.
width must be 1ft less than length
area=12 square feet
what are widths?
Answer by solver91311(5072)   (Show Source):
Question 239595: calculate the volume of each cone. use 3.14 and round eachyour answer to the nearest hundreatheth if neccesery
a traffic cone has a radius of 9in the height of the cone is 30
Answer by checkley77(7049)  (Show Source):
Question 239205: what is the surface area of a marble slab that is measured 5 meters high, by 7 meters wide, and 2 meters deep?
Answer by ankor@dixie-net.com(6693)  (Show Source):
You can put this solution on YOUR website!what is the surface area of a marble slab that is measured 5 meters high, by 7 meters wide, and 2 meters deep?
:
2(7*2) + 2(7*5) + 2(5*2) =
28 + 70 + 20 = 118 sq meters
Question 239160: what is the area of a square with sides 2 1\2inches long?
Answer by rfer(2688) (Show Source):
Question 239030: the lateral area of a right cylinder with a radius of 10 feet is 320 pi square feet. find the surface area of the cylinder
Answer by Theo(675)  (Show Source):
Question 238754: if the area of a square is a^2+4a+4, what is the length of one side
Answer by unlockmath(117)  (Show Source):
You can put this solution on YOUR website!Hello,
First off, of course we know the area of a square is side times side, right?
Let's find the factors of a^2+4a+4.
This turns out to be:
(a+2)(a+2) When you multiply these two factors it gives you the original expression of a^2 +4a + 4
Therefore the length of one side is a+2
RJ Toftness
www.math-unlock.com
Question 238269: If the area of a square is 4 to the one-thousandth power what is the perimeter?
Answer by Edwin McCravy(2922) (Show Source):
Question 238036: The surface area of a sphere 324 square centimeters. What is volume in cubic centimeters, of the sphere? Express your answer in terms of pi
Answer by Alan3354(6079)  (Show Source):
You can put this solution on YOUR website!The surface area of a sphere 324 square centimeters. What is volume in cubic centimeters, of the sphere? Express your answer in terms of pi
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 cc
Question 237486: how many different rectangles are there with an area of 36cm squared if the length of each, in centimeters are whole numbers
Answer by Theo(675) (Show Source):
Question 237540: a cyclider of radius r sits snugly inside a cube. Which of the following expressions represents the difference of their LATERAL AREAS?
a)2r^2 (8- pi)
b) 2r (pi - 2)
c) 2r (4- pi)
d) 4r^2 (4- pi)
^2 = squared
Answer by solver91311(5072) (Show Source):
Question 237226: The area of the largest rectangle inscribed in a circle of radius
5 cm is
a)25 cm^2 b)50 cm^2 c) 100 cm^2 d)10 square root(2)cm^2 e) 20 square root(2)cm^2
Answer by rapaljer(3620) (Show Source):
You can put this solution on YOUR website!The circle has a diameter of 10 cm. Let x= length of the side of the square. Draw the circle of diameter 10, showing the square with side of x inside the circle. You will see a right triangle, so by Theorem of Pythagoras
Now this looks ugly, but remember that all you need to find is the AREA of the square. The area is  , so this is the answer to the question:
Area = =50 sq cm.
Dr. Robert J. Rapalje
Question 237039: find the missing values
it a cone witha voulme= 92.316
radius 42
i need to find the height
Answer by stanbon(26268) (Show Source):
You can put this solution on YOUR website!find the missing values
it a cone witha voulme= 92.316
radius 42
i need to find the height
--------------------------------
V = (1/3)Bh where B = pi*r^2
---
V = (1/3)(pi)r^2h
92.316 = (1/3)(pi)(42^2)h
(3*92.316)/(pi*42^2) = h
h = 0.04997 units
===========================
Cheers,
Stan H.
Question 236117: what is the answer and soultion to- calculate the diamter of a solid cylinder which has a height of 66cm and total surface area of 3m^2
Found 2 solutions by stanbon, nyc_function:
Answer by stanbon(26268) (Show Source):
You can put this solution on YOUR website!what is the answer and solution to- calculate the diamter of a solid cylinder which has a height of 66cm and total surface area of 3m^2
--------------------
Total surface = 2(surface of base) + (circumference of base)(height)
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3 = 2((d/2)^2*pi) + (pi*d(66))
3 = (d^2/2)pi + 66pi(d)
Multiply thru by 2 to get:
6 = pi(d^2) + 66pi(d)
--------------
This is a quadratic in "d"
pi(d^2) + 66pi(d) - 3 = 0
---
Use the quadratic formula to solve for "d":
d = [-66pi +- sqrt((66pi)^2-4pi*-3)]/(2pi)
d = [-66pi +- sqrt(43029.7)]/(2pi)
---
Positive solution:
d = 0.0909/(2pi)
d = 0.0145 cm
==================
Cheers,
Stan H.
Answer by nyc_function(260)  (Show Source):
You can put this solution on YOUR website!Use the following formula:
Surface Area = (2 • π • r²) + (2 • π • r • height)
Let h = 66, π = 3.14
Let surface area = 3m^2
Find the radius first. Then after finding the radius, multiply it by 2 and you will have your diameter.
Question 234302: What is the surface area of a cube with a 4 foot diagonal
Answer by nyc_function(260) (Show Source):
You can put this solution on YOUR website!Use the formula:
Surface Area of a Cube = 6 a^2
The diagonal is the hypotenuse of a right triangle in the cube.
The legs are represented by the letter a.
a^2 + a^2 = 4^2
2a^2 = 16
a^2 = 16/2
a^2 = 8
sqrt{a^2} = sqrt{8}
a = 2(sqrt{2})
Now that we know the value of a, plug it into the formula for the surface area of a cube.
Surface Area of a Cube = 6 (2(sqrt{2})^2
Can you finish now?
Question 234028: What is the "FORMULA" for find out AREA of "SEMI CIRCLE".
Answer by rfer(2688) (Show Source):
Question 233526: Let T be an equilateral triangle of height h. Let S be a square of side s. If T and S have the same area, then find h/s.
Answer by edjones(3292)  (Show Source):
Question 233463: The amount of metal S (in square inches) that it takes to make a can for tomato soup depends on the radius "r" and height "h":
S=2πr^2 +2πrh
a) rewrite the formula by factoring out the greatest common factor on the right hand side
b) Let h=5 in. and write a formula that expresses S in terms of r.
Answer by checkley77(7049) (Show Source):
Question 233408: Find the total surface area of a right triangular prism whose base sides are 5cm,12cm and 13cm,and its height is 11cm. the base is a right angled triangle..
I need your help!!!!Help me now plzz!!!!!
Answer by Alan3354(6079) (Show Source):
You can put this solution on YOUR website!Find the total surface area of a right triangular prism whose base sides are 5cm,12cm and 13cm,and its height is 11cm. the base is a right angled triangle..
--------------
The base's area is 5*12/2 = 30. The "top" is also 30.
The other 3 faces have areas of:
11*5, 11*12 and 11*13
= 11*(5+12+13) = 11*30
Area = 330 + 30 + 30
Area = 390 sq cm
Question 233227: Find the circumference and the area of a circle with radius 5m .
Use the value 3.14 for π , and do not round your responses. Be sure to include the correct units in your responses.
Answer by Alan3354(6079) (Show Source):
Question 232503: A rancher needs to enclose two adjacent rectangular corrals, one for cattle and one for sheep. If the river forms one side of the corrals and 330 yd of fencing is available, what is the largest total area that can be enclosed?
Answer by ankor@dixie-net.com(6693) (Show Source):
You can put this solution on YOUR website!A rancher needs to enclose two adjacent rectangular corrals, one for cattle and one for sheep. If the river forms one side of the corrals and 330 yd of fencing is available, what is the largest total area that can be enclosed?
:
Let W = the three sides to make the width of the two corrals
Let L = the one side parallel to the river
:
L + 3W = 330 yds (of fence available)
L = (330-3W); this form for substitution
;
Area
A = L * W
Replace L with (330-3W)
A = (330-3W) * W
A = -3W^2 + 330W
A quadratic equation, the axis of symmetry will be the value for max area
Find that using x = -b/(2a)
In this equations: x = W; a = -3; b = 330
W = 
:
W = 
W = +55 yd is the width for max area
:
Find the max area, substitute 55 for W in the area equation:
A = -3(55^2) + 330(55)
A = -3(3025) + 18150
A = -9075 + 18150
A = +9075 sq/yds is max area
;
:
Check this; Find the length
L = 330 - 3(55)
L = 330 - 165
L = 165 yds
;
Find the area: 165 * 55 = 9075 sq/yds
Question 232021: The circumference of a circular garden is 628 feet. Find the area of the garden.
ok I know to get area we use pie r squared however, I have no clue how to get the radius?
I have so far got this:
628/3.14 200=r squared?
Answer by solver91311(5072) (Show Source):
Question 231989: The length of a rectangle is twice its width. If the perimeter of the rectangle is 60 ft , find its area
Answer by drj(1380)  (Show Source):
You can put this solution on YOUR website!The length of a rectangle is twice its width. If the perimeter of the rectangle is 60 ft, find its area
Step 1. The perimeter P means adding up all the four sides of a rectangle.
Step 2. Let w be the width.
Step 3. Let 2w be the length
Step 4. Then, P=w+w+2w+2w=60.
Step 5. Solving yields the following steps
| Solved by pluggable solver: EXPLAIN simplification of an expression |
Your Result:
Simplify w+w+2w+2w=60
Your Answer:
- Solutions: w=10.
- Graphical form: Equation
 was fully solved. - Text form: w+w+2w+2w=60 simplifies to 0=0
- Cartoon (animation) form:
simplify_cartoon( w+w+2w+2w=60 )
Detailed explanation:
Look at  .
Eliminated similar terms  ,, , replacing them with 
It becomes  .
Look at  .
Added fractions or integers together
It becomes  .
Look at  .
Remove unneeded parentheses around factor 
It becomes  .
Look at  .
Moved these terms to the left 
It becomes  .
Look at  .
Solved linear equation  equivalent to 6*w-60 =0
It becomes  .
Result: 
Solutions: w=10.
Done!
| |
For w=10 , then 2w=20 and P=2(10+20)=60 which is a true statement.
Step 6. Area A is given as A=length * width = 20*10=200 square feet.
Step 7. ANSWER: The area is 200 square feet.
I hope the above steps were helpful.
For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.
And good luck in your studies!
Respectfully,
Dr J
http://www.FreedomUniversity.TV
http://www.Facebook.com/FreedomUniversity.TV
http://www.Twitter.com/FreedomUTV
Question 231774: Gina has 24 feet of fence.
Largest rectangler area possible?
Answer by checkley77(7049) (Show Source):
You can put this solution on YOUR website!The largest area would be a square.
Thus each sid ewould be 24/4=6
6*6=36 ft^2
Proof:
Try any other length & width that add up to 12.
Example 5.9+6.1=12
5.9*6.1=35.99
Question 231144: Find the maximum area enclosed by rectangular fencing which is 400 feet long if the farmer uses his barn for one side of the enclosure. Show diagram and equation before calculator use. Round area to the nearest square foot.
Please help! Thanks!
Answer by rfer(2688) (Show Source):
Question 230682: What is the surface area in square inches, of an 8 inch cube?
Answer by rfer(2688) (Show Source):
Question 230606: A sphere with a diameter of 16 mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter. How high is the cylinder?
Found 2 solutions by solver91311, Alan3354:
Answer by solver91311(5072) (Show Source):
Answer by Alan3354(6079) (Show Source):
You can put this solution on YOUR website!A sphere with a diameter of 16 mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter. How high is the cylinder?
--------------
Surface of the sphere = 4*pi*r^2 = 256pi
----------
Surface of cylinder = 2pi*r*h + 2pi*r^2 = 256pi
pi*r*h + pi*r^2 = 128pi
pi*8*h + 64pi = 128pi
8h = 64
h = 8
Question 230605: A cylindrical container has a base area of 100 meters squared and is 12 meters high. If the container is one-third filled with water, what is the volume of the water in the container?
Answer by nerdybill(2446)  (Show Source):
You can put this solution on YOUR website!A cylindrical container has a base area of 100 meters squared and is 12 meters high. If the container is one-third filled with water, what is the volume of the water in the container?
.
Total volume of cylinder = "area of base" * "height"
Total volume of cylinder = 100*12 = 1200 cubic meters
.
If water fills 1/3 of cylinder the volume of water is:
(1/3)(1200) = 400 cubic meters
Question 230565: Express the surface area S of a closed box with a volume of 10000 cubic inches as a function of x. The answer he has is S=2x^2+40000/x. I need to know how he reached this conclusion
Answer by jsmallt9(590) (Show Source):
You can put this solution on YOUR website!The only way your teacher's answer is correct is if the box has two faces which are squares measuring x on each side. So
Let x = the length and the width of the box
Let y = the height of the box.
Volume of a box (aka right rectangular prism) is length times width times height:  . Since your volume is 10000 and the length and width are x and the height are y:
or
We can solve this for y:
Moving on to the surface area. Any closed box has 6 faces which have area. In your box you have 2 squares and 4 rectangles. The sides of the squares are x. The length and width of the rectangles are x and y. If you have trouble understanding this, - Draw a box with square ends
- Label the sides of the square "x"
- Label the edges of the box which connect the squares to each other "y".
Area of a square: 
The area of your square, since the sides are x, is
Area of a rectangle: 
The area of your rectangles, since the length and width are x and y:  .
The total surface area is the sum of the areas of the 2 squares and the 4 rectangles:
Since we want this in terms of x, we need to substitute for the "y". Earlier we found, from the volume, that  . Substituting this for y in our surface area equation we get:
which simplifies to:
Question 229897: i have four circles that are touching and have a diametre of 10 meters each . i need to find the area that is in the middle in square meters. also the area of the centre and one of the circles combined, hope you can help.
Answer by solver91311(5072) (Show Source):
You can put this solution on YOUR website!
Construct a square by drawing 4 line segments connecting the centers of adjacent circles. The line segments will intersect the points of tangency of the circles and you will note that the hypocycloid shape in the center for which you want the area is totally contained within this circle. Since the shape is a square, the vertex angles are right angles, therefore the four circle sectors that are contained within the square are each one-fourth the area of one of the circles. The area of the four circle sectors added together is therefore the area of one of the circles. Since the diameter of each of the circles is 10, the radius of each of the circles is 5 and the area of a circle is 25π m². The area of the square is 10 X 10 = 100, so the area of the hypocycloid is the area of the square minus the area of one of the circles, 100 - 25π m². And the area of the hypocycloid plus a circle is just the area of the square, i.e. 100 m²
John
Question 229685: A rectangle has a perimeter of 28 inches.The length of one pair of sides is 8 inches per side. What is the length of each of the other sides?
Answer by solver91311(5072) (Show Source):
Question 229263: A trapezoid has three sides of length 4 inches and one side of length 8 inches. What is its area?
Answer by rfer(2688) (Show Source):
Question 228274: what is the volume of a cube if all the edges are 40.5?
Answer by rfer(2688) (Show Source):
Question 228065: The surface area of a right prism is given by
S=2b+Ph,
where B is the area of the base, P is the perimeter of the base, and h is the height of the prism.
Solve for B.
Answer by stanbon(26268) (Show Source):
You can put this solution on YOUR website!The surface area of a right prism is given by
S=2B+Ph,
where B is the area of the base, P is the perimeter of the base, and h is the height of the prism.
Solve for B.
----------------
2B = S-Ph
B = (S-Ph)/2
====================
Cheers,
Stan H.
Question 227647: In a standard deck of 52 playing cards, what is the probability of drawing an odd number?
please help me.....
Answer by drj(1380) (Show Source):
You can put this solution on YOUR website!In a standard deck of 52 playing cards, what is the probability of drawing an odd number?
Step 1. Assume we don't count the face cards as either odd or even.
Step 2. There are a total of 20 odd numbers (5 odd numbers per suit)or 20 possible outcomes out of the 52 cards.
Step 3. Then the  .
Step 4. ANSWER: The probability of drawing an odd number is  .
Note if we count the face cards as odd (Jack and King) then there are eight more outcomes or now a total of 28 outcomes out of 52. Then, the probability of drawing an odd number increases as  .
Then, for even numbers and counting the face cards (Queen) we have four more outcomes to add to the 20 even numbers or the probability drawing an even number is  . Slightly lower probability when compared to the odd numbers.
I hope the above steps were helpful.
For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.
And good luck in your studies!
Respectfully,
Dr J
http://www.FreedomUniversity.TV
Question 227648: In a standard deck of 52 playing cards, what is the probability of drawing an even number?
Answer by drj(1380) (Show Source):
You can put this solution on YOUR website!In a standard deck of 52 playing cards, what is the probability of drawing an even number?
Step 1. Assume we don't count the face cards as either odd or even.
Step 2. There are a total of 20 even numbers (5 even numbers per suit)or 20 possible outcomes out of the 52 cards.
Step 3. Then the  .
Step 4. ANSWER: The probability of drawing an even number is .
I hope the above steps were helpful.
For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.
And good luck in your studies!
Respectfully,
Dr J
http://www.FreedomUniversity.TV
Question 227473: The points (1,5), (4,5), and (1,0) represent three corners of a rectangle; find the coordinates of the fourth point.
Answer by rfer(2688) (Show Source):
Question 226807: WHAT IS THE FORMULA OF VOLUME?
Answer by rfer(2688) (Show Source):
Question 226563: A square has an area of 64sq.ft. what is the length of one of its sides?
Answer by chibisan(120)  (Show Source):
Question 226578: The surface area s of a right prism is given by
s=2b+p h
,
where b is the area of the base, p is the perimeter of the base, and h is the height of the prism.
Solve for b .
Answer by RAY100(1637) (Show Source):
You can put this solution on YOUR website!s = 2b + ph,,,,,,subtract ph both sides
.
s-ph = 2b,,,,,,,,,,divide both sides by 2
.
(s-ph)/2 =b
.
.
.
check,,,,s= 2(s-ph)/2 +ph = s-ph +ph =s,,,,,,,ok
.
Question 226318: find the area of circular region whose radius is 20cm.
Answer by edjones(3292) (Show Source):
Question 225978: find the area of a rectangle with base of 2yd and height 5ft
Answer by drj(1380) (Show Source):
You can put this solution on YOUR website!Find the area of a rectangle with base of 2yd and height 5ft
Step 1. Area A=b*h where b is the base and h is the height
Step 2. 1 yard = 3 feet or 2 yards = 6 feet.
Step 3. A=6*5=30 square feet
Step 4. ANSWER: The area is 30 square feet.
I hope the above steps and explanation were helpful.
For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.
And good luck in your studies!
Respectfully,
Dr J
http://www.FreedomUniversity.TV
Question 225526: if the height of a cylinder is 8in. and the radius is 2.5in what is the volume to the nearest cubic inch
Answer by rfer(2688) (Show Source):
Question 225121: A rancher is going to construct a new rectangular pen for his emu farm. If he has 5200 feet of fencing, what is the maximum area of the pen?
Answer by rfer(2688) (Show Source):
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