Tutors Answer Your Questions about Surface-area (FREE)
Question 570885: A triangular window frame has a base of 4 ft and a height of 6 ft. How much glass will be needed to fill the window frame?
Answer by stanbon(48502)  (Show Source):
You can put this solution on YOUR website!A triangular window frame has a base of 4 ft and a height of 6 ft. How much glass will be needed to fill the window frame?
----
Area = (1/2)base*height
Area = (1/2)4*6 = 12 sq. ft.
===============
Cheers,
Stan H.
Question 570150: a desktop is 1.2m. by 8m. what is the area of it's surface
Answer by JBarnum(1826)  (Show Source):
Question 570127: what's the area of this figure?
rectangle with diagonal length of 34 m and height of 16 m
Answer by tushar.bhatia06@gmail.com(1) (Show Source):
You can put this solution on YOUR website!fst with the help of pythagoras theorem with height as 16m nd hypotenuse as 34m find the base which will come out to be 30m[base square+ perpendicular square=hypotenuse square]..now multiply 30m with 16m as the formula of area of rectangle is length into breadth..so the area of the figure came out to be 480 metre square
Question 570043: A right triangle has one vertex on the graph of  , x>0 at (x,y), another at the origin, and the third on the positive y-axis at (0,y). Express the area A of the triangle as a function of x.
Answer by Alan3354(21542)  (Show Source):
You can put this solution on YOUR website!A right triangle has one vertex on the graph of , x>0 at (x,y), another at the origin, and the third on the positive y-axis at (0,y). Express the area A of the triangle as a function of x.
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= 
Question 569641: s=pye r2 + h2 what radius should be used to produce a cone of height 8 inches and surface area 110 square inches
Answer by Alan3354(21542) (Show Source):
You can put this solution on YOUR website!s=pye r2 + h2 what radius should be used to produce a cone of height 8 inches and surface area 110 square inches
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That's not clear.
And I think you mean pi, the Greek letter.
Question 569592: If a cube has a side of length 10 centimeter, what is the surface area of the cone-shaped hole ?
Answer by Alan3354(21542) (Show Source):
You can put this solution on YOUR website!If a cube has a side of length 10 centimeter, what is the surface area of the cone-shaped hole ?
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Where is the hole located?
Question 569220: how do you find volume of a cone
Answer by Alan3354(21542) (Show Source):
Question 569219: the area of a cirle is 87 sq. feet,find the diameter of the circle.
Answer by stanbon(48502) (Show Source):
You can put this solution on YOUR website!the area of a cirle is 87 sq. feet, find the diameter of the circle.
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Area = (pi)r^2
87 = (pi)r^2
r^2 = 87/pi
--
radius = sqrt(87/pi)
---
diameter = 2[sqrt(87/pi)]
============================
Cheers,
Stan H.
==============
Question 568136: A walkway along the diagonal of a square park is 4/5 miles long. What is the area of the park? Lets use Yards as our measure 1 mile = 1760 yards thus a diagonal of 4/5 miles = 1408 yards
Using a^2 +b^2 = c^2 and knowing that the park is square informs us that
the sides are the same. Thus a^2 + a^2 = (the length of the digonal)^2
that is 2a^2 =(1408)^2 or a =(1982464/2)^.5 {raising a quantity to the .5 power is the same as taking the square root.}= 995.606 yards or 5.66/10 of a mile as the length of each side.
To get the area use the formula a = lxw = 995.606 x 995.606 = 991231.307 yards yards^2 Since 1 mile = 1760 yards, 1 mile^2 = 3097600 yards^2 so 991231.307/3097600=.32 miles is the area
Answer by jcmhs77(1) (Show Source):
Question 566753: If I have a cylinder that is 24 inches round and 6 feet tall how much cubic feet of dirt can fit in it?
Answer by Alan3354(21542) (Show Source):
You can put this solution on YOUR website!If I have a cylinder that is 24 inches round and 6 feet tall how much cubic feet of dirt can fit in it?
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Is it 24" around it? Or the diameter? Or the radius?
Question 566597: A semicircle is inscribed in a rectangle with area 144 square centimeters. In square cm,
what is the area of the semicircle?
Answer by lwsshak3(2900) (Show Source):
You can put this solution on YOUR website!A semicircle is inscribed in a rectangle with area 144 square centimeters. In square cm,
what is the area of the semicircle?
**
let x=radius of inscribed semicircle
x=width of rectangle
2x=length of rectangle
..
Area of rectangle=length*width=2x*x=2x^2=144
x^2=144/2=72
..
area of semicircle=1/2πx^2=1/2π*72=36π
Question 566449: how do i find the surface area of prisms and pyramids?
Answer by richard1234(4789)  (Show Source):
Question 565801: what is the surface area of a cube with a side length of 2.1 ft
Answer by mananth(10539)  (Show Source):
You can put this solution on YOUR website!one side of cube = 2.1 ft.
alll sides are equal in a cube
area of one face of cube = 2.1*2.1 = 4.41ft^2
There are 6 faces for a cube
6*4.41 = 26.46 ft^2
surface area = 26.46 ft^2
Question 565763: is it possible to simplify the equation 2ft*3ft sq? can you simplify 2ft*3ft? why or why not?
Answer by Alan3354(21542) (Show Source):
You can put this solution on YOUR website!is it possible to simplify the equation 2ft*3ft sq? can you simplify 2ft*3ft? why or why not?
-------------
It's not an equation, there's no equal sign.
----
2 ft * 3 ft = 6 sq feet
Question 565537: surface area of a circle that has a diameter of 14 inches
Answer by Alan3354(21542) (Show Source):
You can put this solution on YOUR website!surface area of a circle that has a diameter of 14 inches
-------
r = 14/2 = 7 inches
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Area is sufficient. Surface area is used for solids.
Question 565452: If someone can PLEASE help me with the poblem that would be fantastic! i cannot understand for the life of me this question. thank you.
the surface areas of two simular cylinders are 8pi in^2 and 18piin^2. Find the following ratios.
Area1/Area2= a^2/b^2=
r1/r2=h1/h2=a/b=
Volume1/Volume2=a^3/b^3=
again thank you for helping!!!!
Answer by KMST(576)  (Show Source):
You can put this solution on YOUR website!A figure (or solid) similar to another is a scaled-up or scaled-down (or maybe even identical) version of the other one. All dimensions (length, width, radius, height, etc) are changed by the same factor. The area is changed by that factor squared, and the volume is changed by that factor cubed.
That's written in the equalities you show.
So if the ratio (scale factor) for height and radius of those cylinders is the fraction/ratio 
 ,
the surface areas are in the ratio 
You know that
 -->  --> 
So the surface area of the samaller cylinder is 4/9 of the surface area of the larger cylinder. The radius and height are 2/3 of those for the larger cylinder, and the volume is 8/27 of the volume of the larger cylinder.
Question 565455: I am soo sorry but i need help with this problem.. i have absolutley no clue how to do it.
If the ratio of the volumes of two similar solids is 8:125, then what is the ratio of their surface areas?
Thank you again for all your help!!!!!
Answer by scott8148(5869)  (Show Source):
Question 565252: find the area of a triangle with vertices are (2,3),(3.2),(-2,-1)
Answer by solver91311(12114)  (Show Source):
Question 565142: Each face of a cube has an are of 12 square inches. What is the surface area of the cube?
Answer by jim_thompson5910(21667) (Show Source):
Question 565041: a square is 14cm wide, what is the area?
Answer by ad_alta(170)  (Show Source):
Question 564557: A round pizza with a diameter of 52 cm is cut into 12 equal sectors. a square pizza,
with sides of length 41 cm, is cut into 9 equal squares. Which pizza slice, a sector
Or a square, has the greatest area and how much greater is it? Thank you so much
for your help and please use step by step if you can!!!(:
Answer by ankor@dixie-net.com(12678)  (Show Source):
You can put this solution on YOUR website!A round pizza with a diameter of 52 cm is cut into 12 equal sectors. a square
pizza, with sides of length 41 cm, is cut into 9 equal squares.
Which pizza slice, a sector Or a square, has the greatest area and how much
greater is it?
:
Find the area of the round pizza. 
r = 52/2 = 26 cm
A = 2123.7 sq/cm
Find the the area of each sector
 = 177 sq/cm for each sector
:
Find the area of the square pizza
 = 1681 sq/cm
Find the area of each of the 9 equal square
 = 187 sq/cm for the squares
:
187 - 177 = 10 sq/cm more in the square
Question 564134: 3x = -2
Answer by mananth(10539) (Show Source):
Question 561878: Find the circumference and area of a circle.
D=2.1in
Answer by Alan3354(21542) (Show Source):
Question 561790: brian has a poster that is 8 square feet in area. what is the area of his poster in square inches?
Answer by josmiceli(6768)  (Show Source):
Question 560562: A metal hollow bar whose cross section and dimension are shown below weighs 8x10^3 kg/m^3 and measure 2m in length ..determine the mass of the metal bar.
Answer by Alan3354(21542) (Show Source):
You can put this solution on YOUR website!A metal hollow bar whose cross section and dimension are shown below weighs 8x10^3 kg/m^3 and measure 2m in length ..determine the mass of the metal bar.
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Shown where?
Question 560294: It cost Rs 2200 to paint inner curved surface of cylinder 10m deep at the rate of 20 per meter square.
Find curved surface area of cylinder ?
Answer by stanbon(48502) (Show Source):
Question 560166: What is the correct formula I use to get the surface area of a room, which measures 29'4", 10'6", and 9'. I came up with 191,952 sq in. Is this correct
Found 2 solutions by Alan3354, nyc_function:
Answer by Alan3354(21542) (Show Source):
You can put this solution on YOUR website! What is the correct formula I use to get the surface area of a room, which measures 29'4", 10'6", and 9'. I came up with 191,952 sq in. Is this correct
------------------
Is that for the floor area? Or for all 6 sides?
3 dims --> 6 sides
29'4" = 352 in
10'6" = 126 in
9' = 108 in
----
Area = 2*(352*108 + 352*126 + 126*108)
Area = 191952 sq in
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191952 sq in/144 sq in/sq ft = 1333 sq ft
Answer by nyc_function(2626)  (Show Source):
Question 559691: Karina has a piece of wire that is 16 inches long. Use this fact to answer the following questions. Round your answers to the nearest tenth.
a. What will be the area inside a semicircle made from this wire?
c. Suppose that Karina cuts the wire into 2 pieces to make 2 squares such that the area of 1 square is twice the area of the other. What is the side length of the larger square?
thanks!
Answer by stanbon(48502) (Show Source):
You can put this solution on YOUR website!Karina has a piece of wire that is 16 inches long. Use this fact to answer the following questions. Round your answers to the nearest tenth.
a. What will be the area inside a semicircle made from this wire?
Perimeter = (pi)d = 16 inches
d = 16/(pi)
radius = 8/(pi)
----------------------------------
Area = (pi)[8/(pi)]^2
Area = 64/(pi) sq. inches
=================================================
c. Suppose that Karina cuts the wire into 2 pieces to make 2 squares such that the area of 1 square is twice the area of the other. What is the side length of the larger square?
Let one piece be "x":
Other piece is "16-x"
-----
Areas:
1st square
side = x/4
Area = (x/4)^2
-----
2nd square:
side = (16-x)/4
Area = [(16-x)/4]^2
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Equation:
Area #1 = 2 Area #2
(x/4)^2 = 2[(16-x)/4]^2
-------------------
Multiply both sides by 16:
x^2 = 2(16-x)^2
x^2 = 2(256 - 32x + x^2)
x^2 = 512 - 64x + 2x^2
---
x^2 - 64x +512 = 0
I graphed it to get x = 9.37 and x = 54.63
===============================================
Cheers,
Stan H.
===========================
thanks!
Question 559493: The perimeter of a square is 1 foot, how many square inches cover it's area?
Answer by Earlsdon(6098) (Show Source):
You can put this solution on YOUR website!1 square foot = (12")*(12")square inches = 144 square inches.
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The above answer is not correct. I was thinking that the square was 1 foot on a side, but if the perimeter is 1 foot, then the side must measure one fourth of that, or 3 inches.
The area of a 3-inch square would be 3" X 3" = 9 square inches.
My apologies for the mistake.
Question 558809: Lenny made a long rectangular pen to keep his dog in. What are the measures of all the angles in the pen? Explain how you know.
Answer by richard1234(4789) (Show Source):
Question 558652: The dimensions of cylinder B are 4 times the dimensions of cylinder A.
If the surface area of cylinder A is 36 cm2, what is the surface area of cylinder B?
Answer by mananth(10539) (Show Source):
You can put this solution on YOUR website!Cylinder A surface area = 2pir1(r1+h1)
Cylinder B surface area = 2pir2(r2+h2)=x
r2=4r1
h2=4h1
surface area of cylinder B = 2pi*4r1(4r1+4h1)
x=36*16
x= 5766 cm^2
Question 554677: You want an area of wall 114 inches tall by 144 inches wide with square tiles. You don't want to have to cut any of the tiles to fit. Find the largest square tile you can use. How many of these tiles do you need.
Answer by yin1228c(1) (Show Source):
Question 556858: A=3.14 radius 2 with a diameter of 18??
Answer by JBarnum(1826) (Show Source):
Question 556840: A park has a circular goldfish pond. What is A, the apporximate are of the surface of the pond, if its radius, r, is 5 feet?
Answer by stanbon(48502) (Show Source):
You can put this solution on YOUR website!A park has a circular goldfish pond. What is A, the apporximate are of the surface of the pond, if its radius, r, is 5 feet?
---
Area = (pi)r^2
---
Area = 25pi sq ft
======================
Cheers,
Stan H.
Question 556333: if you have a radius of three what is the value of the radius squared?
Answer by Alan3354(21542) (Show Source):
Question 556133: Please, help me understand this.
"A rectangular box is 30cm high, 25cm long and 10cm wide, what are the dimensions of the bottom of the box?"
PLEASE, please help me, thank you.
Answer by Theo(2967)  (Show Source):
Question 555620: A hemispherical dome holds a volume of 486 pie ft^3. Find the surface area. (omit the area of the circle)
* please help me!!!***
Answer by mathstutor494(92)  (Show Source):
You can put this solution on YOUR website!A hemispherical dome holds a volume of 486 pie ft^3. Find the surface area.
Volume of Semisphere = 2/3 pi r^3
> 486 = 2/3 pi r^3
> r^3 = (486*3)/(2*pi)
Hence r = 9/ 1.46 > 6.16
Surface Area of a Semisphere = 2 pi r^2
Area of a circle = pi r^2
So Surface Area of a Semisphere less Area of a circle
> 2 pi r^2 - pi r^2
> pi r^2
Substituting values of pi & r from above
> 3.14* (6.16)^2
> 119.15 ft^2
Question 555520: A square lobby is to be tiled at a cost 160 per square meter. If the lobby were 2 m narrower and 2 m longer the cost of the tiling would be 35,360. Find the dimensions of the lobby.
Answer by edjones(7311)  (Show Source):
Question 554724: What is the awnser to this question?: l=12inches, w=4inches? Lenght and with. I have to find the perimeter and the area of the rectangle or square with the given demensions. Explain how u got it please.
Found 2 solutions by nyc_function, jim_thompson5910:
Answer by nyc_function(2626) (Show Source):
You can put this solution on YOUR website!Use the following two formulas:
For area use: A = Length times width
For perimeter use: P = 2(length) + 2(width)
L = 12, W = 4
A = 12 times 4
A = 48in^2
The area is 48 squared inches.
==============================
P = 2(12) + 2(4)
P = 24 + 8
P = 32 inches
The perimeter is 32 inches.
The figure given is a rectangle not a square.
Answer by jim_thompson5910(21667) (Show Source):
Question 554246: a circle is cut out of a 10 feet square what is the approximate area of the shaded portion of the figure?
Answer by richard1234(4789) (Show Source):
Question 554231: what is the surface area of a cube in inches
Found 2 solutions by richard1234, Alan3354:
Answer by richard1234(4789) (Show Source):
Answer by Alan3354(21542) (Show Source):
Question 553970: Determine whether the point (8, 6) is a solution of the system
11x – 8y = 40
-6x + 1y = -42
by substituting the point into each equation.
Answer by rfer(10417) (Show Source):
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