Tutors Answer Your Questions about Surface-area (FREE)
Question 480823: Solving Area and Perimeter Problems: Need to use the RSTUV Method to solve
The area of a rectangle is 96 square centimeters. If the width of the rectangle is 4 centimeters less than its length, what are the dimensions of the rctangle?
Click here to see answer by Theo(13342)   |
Question 481463: How do I find the surface area and volume of a frustrum? I have looked it up and it says there are special formulas but I have not learned those and I remember my teacher teaching us a specific way in which you find the larger cone and then subtract the smaller cone?? Help please!
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 481783: 1. For his project, a boy needs a piece of plywood measuring 0.75 meter long and 0.55 meter wide. Find the perimeter of the project in centimeters.
2. A rice field is quadrilateral in shape. Its sides are 154m, 166m, 153m and 206m. If the owner wants to fence it with three strands of barbed wire, how many meters of wire in all will be needed?
3. Calculate the length of the circular orbit of a space shuttle if it travels 570km above the surface of the Earth. Assume the center of the orbit and the center of the Earth is the same and the approximate diameter of the earth is 12756km.
4. The bedroom of Jane is in the form of rectangle whose length is 7.5m and whose width is 4.2m. How many square tiles will be needed to cover the entire room if the edge of a tile measures 30cm?
5. Mr.Recto is building a house on a lot which is 21 meter long and 17 meters wide. If the floor area of the house is 14.5 meters long and 11 meters wide, how much space is left for the garden?
6. A square cardboard has an area 100cm^2. If the largest circle is cut out of it, what is the area of the wasted portion of the cardboard?
7. The third year students are constructing a square pyramid for their project. They plan to cover it with Manila paper. If the side of the base of the pyramid measures 2.2 meters and the height of each triangular face is 1.9 meter, what size of manila paper will be needed to cover all faces of the pyramid?
8. A birthday cake for Baby Junior will be coated with icing. If the rectangular cake measures 12in by 18in with a height of 2.5in, what is the area to be coated if the bottom face of the cake will not be coated?
9. The Earth's diameter is approximately 12756km. Using pi=3.14, find the surface area of the earth.
10. An aquarium is 70cm long, 35cm wide, and 40cm deep. How many cubic centimeters of water does it contain when it is 3/4 full?
11. A conical tank is 10 meters deep and its circular top has a radius of 5m. How many liter of liquid will it hold? (1000 cubic cm will contain 1 liter)
12. A basketball has an inside radius of 4.5 inches. What is the volume of air inside it?
If possible, please include the formula used, the given, the solution and the final answers. :)
Click here to see answer by mananth(16946)  |
Question 482080: Maths question help
5. Derive a formula for finding the Surface Area as a function of the radius, with the can still modelled as a cylinder. State your formula in simplest form.
6. Differentiate the function and be sure to simplify your answer. Now use the derivative function to find the value of the radius when the Surface Area is a minimum, and then find the minimum Surface Area.
Part C – Real Can
The soft drink can, however, is not actually a perfect cylinder.
8. Repeat steps 5 and 6 in Part B, modelling the can with a double layer of metal on the top, but with a hemispherical indent in the base.
Click here to see answer by richard1234(7193)  |
Question 482679: Peter wants to enclose an area on a piece of ground using a rope.He encloses a rectangular space of 15m by 7m.Alternatively he can enclose a circular area.if he decides to have a circular enclosure,using the same rope,what will be the radius of the enclosure?
Click here to see answer by stanbon(75887) |
Question 484458: A cuboid of volume 1125cm^3 has length equal to three times the breadth.
(A)- show that the surface area of the cuboid may be expressed as 6x^2+3000/x
(B) - find the dimensions of the cuboid that give the minimum surface area.
I think i have a right, just need to check but i am completely stuck on b, help would be much appreciated.
the breadth is x and the length is 3x.
thanks
Click here to see answer by chessace(471)  |
Question 484527: the surface area of the side of a right cylinder can be found by multiplying twice the number pie by the radius times the height. if a circular cylinder has radius has radius r and height h, write an expression that represents the surface area of its side.
Click here to see answer by stanbon(75887) |
Question 484460: A clyinderical can of radius xcm has volume 144cm^3. the cost of producing the can is determined by it's surface area.
(A) show that the height of the can is h=144/piex^2.
(B) find an expression for the surface area of the can
(C) find the dimensions that will minimise the cost of production.
All questions will help a lot, thanks!
Click here to see answer by htmentor(1343)  |
Question 484919: your older friend calls you and says they have a 6 yard by 6 yard tarp they can bring to cover an open area at your cottage.You know the area of the picnic tables to be tarped is 48 meters squared.Shoulld your friend bother to bring the tart because it is too small?
Click here to see answer by Alan3354(69443)  |
Question 485572: I need to convert my standard measurements to metrics. Each dimension in centimeters, then I need to calculate the volume in cubic centimeters.
My measurements are:
w = 13'3" (159")
L = 16'3" (195")
H = 10 (120")
The sq feet is 967.62- rounded to 968 sq ft
I don't understand if I am to add or multiply the lwh to find the volume
Click here to see answer by Alan3354(69443) |
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