Questions on Geometry: Area and Surface Area answered by real tutors!

Tutors Answer Your Questions about Surface-area (FREE)

Question 169775: A soup can has a volume 54in^3.
Determining the height and radius of the can that requires the least amount of cost to construct if the metal cost 50cents per sq inch and the paper label cost 10 cents per square in.
Thankyou so much.
Click here to see answer by Fombitz(32388)

Question 169537: A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo?
Click here to see answer by nerdybill(7384)

Question 169776: The top and bottom margins of a poster are each 6 cm and the side margins are each 4cm. If the area of printed material on the poster is fixed at 384cm^3, find the dimensions of the poster with the smallest area?
Thankyou for your time.
Click here to see answer by stanbon(75887)

Question 170099: A man wants to coat the ceiling, walls, and floor of a rectangular room with a coating that cost $39.95 per gallon. The dimensions of the room are 7m by 9m by 4.5m. If one gallon covers 110m/2, how much will the man spend to cover the room?
Click here to see answer by Alan3354(69443)

Question 170130: A garden is in the shape of a rectangle, 20 metres by 8 metres. Around the outside is a border of uniform width and in the middle is a square pond. The width of the border is the same as the width of the pond. The size of the area, which is not occupied by either border or pond, is 124m^2. Find the width of the border.
Click here to see answer by ankor@dixie-net.com(22740)

Question 171423: A rug is 7 1/2 ft square. What is the area of the rug?
Click here to see answer by checkley77(12844)

Question 172000: Find height of rectangle. Area is 12x and base is 6.
Click here to see answer by KnightOwlTutor(293)

Question 172146: Question: A poster is 25 cm taller than it is wide.It is mounted on a piece of cardboard so that there is a 5 cm border on all sides. If the area of the border alone is 1350 cm squared, what are the dimensions of the poster?
How do I set this problem up to solve?
Click here to see answer by Mathtut(3670)

Question 172526: I am studying surface area and am totally stuck.
My problem reads: "A rectangular metal container with an open top is fabricated from 0.072-inch think aluminum sheet. The container is 18.00 inches wide, 25.00 inches long, and 23.00 inches high. The aluminum sheet weighs 1.045 pounds per square foot. Find the total weight of the container."
I know how to get the lateral area (which would be 1,978 square inches) and the surface area (which would be 2,428 square inches), but I do not know how to go about finding the weight from the information I have. I tried multiplying the surface area by the the thickness of the metal, but that made cubic units and I need square feet. What do I do to find the answer to this problem?
Click here to see answer by Mathtut(3670)

Question 172520: what is the Volume of a triangular prism of whose height is 4.5' & floor area is 36 sq. ft.
Click here to see answer by Alan3354(69443)

Question 172927: About how much smaller is the area of a square whose side measures 5 feet than the area of a circle whose diameter measures 6 feet?
Click here to see answer by ptaylor(2198)

Question 173066: a rectangle of length x and width 4 is cut out of a rectangle of length x+9 and width x. Find the area of the resulting shape, if all dimensions are in meters?
Click here to see answer by stanbon(75887)

Question 173064: 2 blocks each of lenght x, width x+3, and hight is x, are cut of a block of length 3x+4, width x+3, hieght x. all dimensions are given in centimeter. Find the volume of resulting solid?
Click here to see answer by nerdybill(7384)

Question 173287: What is the surface area of a right cone with a base radius of 6 cm and a height of 6 times the square root of 3cm?

Click here to see answer by Krissi(2)

Question 173197: fIND THE SURFACE AREA OF A RIGHT CONE WITH A A BASE RADIUS OF 6 CM AND HEIGHT OF 6 TIMES THE SQUARE ROOT OF 3 CM?
Click here to see answer by colliefan(242)

Question 173753: please help me figure out

a soda can that has a height of 12 centimeters and a diamter of 6 centimeters
find the total surface area . then calculate the surface area.

Click here to see answer by Mathtut(3670)

Question 174098: Hello, I have a question that im extremely stuck on.
The question is as follows:- A circular pool has a radius r. It is surrounded by a path which is 2 metres wide. Work out a formula for the area of the path and give its area when r=2.5 metres.
Please could you show the step by step guide on how i would work this out.
Many thanks
Click here to see answer by stanbon(75887)

Question 174100: Hello, I have a question that im extremely stuck on.The question is as follows:- A circular pool has a radius r. It is surrounded by a path which is 2 metres wide. Work out a formula for the area of the path and give its area when r=2.5 metres.Please could you show the step by step guide on how i would work this out.Many thanks
Click here to see answer by Alan3354(69443)

Question 174099: Hello,
Could you give me the surface area of a cylinder when the radius is 6cm and the Length is 21cm.
Could you show me the full step by step guide to work this out.
Many thanks
Click here to see answer by nycsub_teacher(90)

Question 174097: Hello, please could you help me with a question.
I need to find the surface area of a cylinder when the radius is 6cm and the length is 21 cm,
Please could you show the full step by step guide as i need to show the working out.
Many thanks
Click here to see answer by nycsub_teacher(90)

Question 174119: Hello, I have a question that im extremely stuck on.The question is as follows:- A circular pool has a radius r. It is surrounded by a path which is 2 metres wide. Work out a formula for the area of the path and give its area when r=2.5 metres.Please could you show the step by step guide on how i would work this out.The more simplified the better.
Many thanks
Click here to see answer by ptaylor(2198)

Question 174083: Q1. The length of a rectangular swimming pool is 2x-1 meters, and the width is x + 2 meters. Write a polynomial A(x) that represents the area. Find A(5).
Q2.Find a trinomal A(x) that represents the area of a parallelogram whose base is 3x + 2 meters and whose height is 2x + 3 meters. Find A(3).
Q3.The perimeter of a rectangular backyard is 6x +6 yards. If the width is x yards, find a binomial that represents the length.
Q4.P dollars is inveted at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial P(1 + r/2)to the 2nd power represents the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the polynomial if P=$200 and r=10%.
Click here to see answer by stanbon(75887)

Question 160974: Find the surface area, to the neartest tenth, of a cylinder with diameter 5cm and height 8cm.
Radius=2.5cm
(S=2πrh+2πr^2)
Click here to see answer by bob123132(33)

Question 174148: Q1. If a vendor charges P dollars each for rugby shirts, then he expects to sell 2000-100p shirts at a tournament.
(A). Find a polynomial R(p) that represents the total revenue when the shirts are p dollars each.
(B). Find R(5), R(10), and R(20)
(The total revenue are in thousands of dollars)
Q2. If the diameter of a circle is 1.3 times (10 to the negative 12 power) meters, then what is its radius?

Click here to see answer by Mathtut(3670)

Question 174448: The surface area S of a cube of side x is given by formula S=6x squared. What is the surface area in square centimeters of a cube with side 5/6 centimeters?
Click here to see answer by Alan3354(69443)

Question 174449: A cylinder with a diamter of 10 centimeters and a height of 20 centimeters is cut in 1/2 horizontally. What is the difference between the combined total surface areas of the 2 newly created cylinders and the total surface area of the original cylinder?
Click here to see answer by Alan3354(69443)

Question 174447: A box company produce 2 sizes of pizza boxes. The smaller box has a surface area of 260 square inches. The larger box has a length, width, and height that are twice those of the smaller box. What is the surface area of the larger box?
Click here to see answer by ankor@dixie-net.com(22740)

Question 174502: I want to know how many bricks and cement it would take to build the following brick wall: the bricks are 16 inches by 8 inches, and the wall would measure 6 ft high by 200 ft long...
Click here to see answer by midwood_trail(310)

Question 175112: what is the formula of the volume of a prism ?
Click here to see answer by Alan3354(69443)

Question 175384: How do I convert 56 mm to inches?
Click here to see answer by Mathtut(3670)

Question 175383: If an office is 120 sq ft, what is the measurement in square meters?
Click here to see answer by Mathtut(3670)

Question 175471: What is the formula to find the volume and the area of base on a triangular prism?
Click here to see answer by Mathtut(3670)

Question 175498: What is the altitude on a triangular prism?
Click here to see answer by actuary(112)

Question 175518: How do you find the area of base and volume on a pyramids?
Click here to see answer by solver91311(24713)

Question 176410: I am trying calculate the surface area of a series of hills for some re-vegetation work. I need a good formula as many of the hills are different sizes. One hill example: 40 ft wide by 30 ft long by 3 ft tall with a 3:1 slope. I am neglecting the real world variation in terrain and treating the hill as a 3D drawing.
Click here to see answer by solver91311(24713)

Question 176597: An error has been made when measuring the internal diameter of a large drain pipe. The measurement is 5% too large. If this measurement is used to calculate the cross sectional area of the pipe calculate
A) the percentage error that will occur compared to the true area
B) the true area of the pipe when the incorrect measured diameter was 796mm. Give your answer in m^2 to 5 s.f

Area=πr^2 or π d^2/4

C) And also solve the problem using the binominal theorem to the degree of accuracy stated.

^2 means squared
Click here to see answer by Mathtut(3670)

Question 176816: Find the surface area of a right rectangle prism 14.5cm x 20.7cm x 10.2cm.
Click here to see answer by Alan3354(69443)

Question 176868: Telephoto lens. Use the formula (1/f=1/o+1/i) to find the image distance i for an object that is 2,000,000 mm from a 250 mm telephoto lens.
Click here to see answer by Mathtut(3670)

Question 177201: A worker is to paint the walls of a square room 7.90 ft high and 18.0 ft along each side. What surface area in square meters must she cover?
Click here to see answer by stanbon(75887)

Question 177463: The surface area S 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 hight of the the prism
Click here to see answer by stanbon(75887)

Question 177466: Here it is again sorry solve for p thank you

The surface area S 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 hight of the the prism: The surface area S 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 hight of the the prism
slove for P
Click here to see answer by stanbon(75887)

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