Tutors Answer Your Questions about Surface-area (FREE)
Question 1038707: A field 100 m by 75 m has a pathway 3 m wide running in thw center horizontally and vertically . please find the cost of paving the pathway at the rate of seven rupees per square foot and planting grass in the rest of the field at the rate of 2 rupees per sq foot.
Click here to see answer by Theo(13342)   |
Question 1038946: A triangular building with each side 30 m is 45 m tall. Find the cost of painting the building from outside at the rate of rupees 25 per square yard and the cost of fixing glass on the top of the roof at a cost of 200 rupees per square foot?
Click here to see answer by addingup(3677)  |
Question 1038944: A field 200 m by 150 m has a path of 2m running alonh the perimeter and cross path 3 m wide running in the centre vertically and horizontally. Find the cost of paving the pathways at the rate of rupees 7 per square foot and the cost of sowing the crop in the field at the rate of 5 per rupees square foot?
Click here to see answer by KMST(5328)  |
Question 1039274: A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle.
(a) Find a function that models the total area of the four pens.
A(w) =
I got -2.5x^2 + 375x but it was wrong.
Click here to see answer by stanbon(75887) |
Question 1039658: A trapezoid has a set of parallel bases with lengths 3 inches and 5 inches and a height of 8 inches. What is the area of the trapezoid? Type a numerical answer in the space provided. Do not include units or spaces in your answers.
Click here to see answer by ikleyn(52781)  |
Question 1039799: Picture: http://media.cheggcdn.com/media%2F368%2F36875a88-0295-4d5f-a965-e9cc4b5aeeda%2Fimage
The area of the kite is 48cm squared. what are lengths PR, and QS
PR=__________
QS=__________
An explanation on how you do this would also be nice.
Thanks :D
Click here to see answer by jorel555(1290) |
Question 1040085:
In 1960,
a certain country's population was 76,568,921,
and its area was 2,813,273 square miles. Find the population density of the country, to the nearest tenth, expressed in people per square kilometer.
Click here to see answer by ikleyn(52781) |
Question 1041413: I am having trouble with this problem.
An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a right triangle with legs of 60 feet, 120 feet, and approximately 103.92 feet. The circumference of the pool circumscribes the triangle central area and the center of the circle is a point on the hypotenuse (longest side) of the triangle. The building permit the resort obtained requires that the resort state how much water the pool will hold so the city can manage the resort’s water rights effectively.
1. The resort owner wants to line the edge of the pool with 24k gold leaf. Explain how to determine how many linear feet of gold leaf you should plan to cover. (Don’t forget to cover the edges of the circular part of the pool and also the straight edges outlined by the triangle.)
2. As the land surveyors lay out the pool before digging, determine what method they should use to ensure the circular pool circumscribes the triangular restaurant.
3. Inset in the floor of the restaurant is a circular shark tank. The shark tank is inscribed in the triangle area. Describe how to find the center point for that circle.
4. If the pool’s depth averages 4 feet, how much water will it take to fill the pool? (Hint: the volume of a cylinder is the area of the base times the depth.)
5. If the city ordinances only allow the resort to use 30,000 cubic feet of water in the pool (ignore the shark tank), show how to calculate the maximum depth the pool can be to stay under the 30,000 cubic foot threshold.
Click here to see answer by rothauserc(4718)  |
Question 1041849: A rectangular pool is x feet by (x + 10) feet. A walkway that is 3 feet wide is placed completely around the pool forming a larger rectangle. The area of the rectangle formed by the pool and walkway is 192 square feet greater than the area of the pool alone. What is the area of the pool, in square feet?
Answer: 144 sq feet (How?)
Click here to see answer by josmiceli(19441)  |
Question 1042045: A farmer wants to enclose a rectangular garden, with the plot to be divided into 3 equal sections. If he uses 400 feet of fencing, what is the maximum area the garden can be?
________ft2
* I honestly cannot figure out how to get this problem as there are no width or length measurements to work with.
Click here to see answer by solver91311(24713)  |
Question 1042199: 1) So there is a carpet of grass that has a length of 2m and width of 0.5m
2) SO how can you find to buy the right amount of carpet of grass and put in a garden with an accurate and right amount
The garden has a length 3.11 m and width 1.76 m
Inside it there are small areas:ALL IN METERS
1) 0.38m 0.605m, 0.29m,
2) 0.37m, 0.605m,0.352m,0.29m
3) 0.38m 0.605m, 0.29m
4) 0.38m 0.605m, 0.27m
5) 0.61m, 0.352m, 0.352m, 0.39m
6)0.875m, 0.39m, 0.36m, 0.39m and 0.878m
SOME OF THEM ARE HEIGHTS, WIDTH, OR LENGTH
and how do I post a picture here? It would be nice.. if I can do that ... because I can't explain this well without a picture..
Click here to see answer by ikleyn(52781) |
Question 1042764: You are designing a miniature golf course and need to calculate the surface area and volume of many of the objects that will be used to build the course.
a. The first hole has a sphere that has a radius of 5 feet. What is the surface area and volume of the sphere?
b. The fourth hole has a pyramid that has a height of 12 feet; the base is a square with sides that measure 8 feet. What is the surface area and volume of the pyramid?
c. The seventh hole has a cone that has a height of 8 feet; the base has a radius of 5 feet. What is the surface area and volume of the cone?
d. The fourteenth hole has a rectangular solid that measures 10 feet long, 6 feet wide, and 16 feet tall. What is the surface are and volume of the rectangular solid?
e. Your boss wants to place signs on each face of the structures. How many faces are on the four geometric shapes on the holes?
f. To meet building codes we need to know the number of edges to place the appropriate brackets. How many edges will need brackets on the four shapes?
g. For extra support we also need to place additional brackets at each vertex. How many vertices are there for each structure?
Click here to see answer by addingup(3677) |
Question 1042763: A rectangular yard 102 feet long and 68 feet wide has some dead grass spots. The sprinkling system waters with 6 sprinklers. They water in a circle that touches the next circle, 3 on top and 3 on bottom. The radius each sprinkler covers is 17 feet.
Use pi = 3.14 and round your answers to one decimal place.
a. How much area does one sprinkler cover?
b. How much area do all 6 sprinklers cover?
c. What is the area of the lawn?
d. What area of the lawn is not watered?
Click here to see answer by ikleyn(52781) |
Question 1042779: In a rectangle ABCD, 4cm by 10 cm , is rotated about its sides, first AB and then AD, two different Size cylinders are formed. what is the positive difference in the volumes of these two cylinders?
http://i.imgur.com/iSMa88X.png
Click here to see answer by ikleyn(52781) |
Question 1042440: A scale drawing of a piece of note paper has an area of 96 square centimeters and a length of 12 centimeters. The actual note paper has an area of 6 square inches. What is the length of the actual note paper, in inches?
Click here to see answer by LinnW(1048)  |
Question 1043151: You own a bakery which specializes in custom orders. A customer requests to have a three-tiered cake made. Requirements are as follows:
Each tier is 15 cm high;
The bottom tier is a cylinder with a diameter of 45 cm;
The middle tier is a square–based prism. It must be positioned so that its corners touch the circumference of the bottom tier;
The top tier is another cylinder inscribed in the middle tier.
You know that 250 mL of raw batter will produce 625 mL of cake. How much raw batter is required for this cake? Note: 1 mL = 1 cm3
Thanks so much :)
Click here to see answer by ikleyn(52781) |
Question 1043151: You own a bakery which specializes in custom orders. A customer requests to have a three-tiered cake made. Requirements are as follows:
Each tier is 15 cm high;
The bottom tier is a cylinder with a diameter of 45 cm;
The middle tier is a square–based prism. It must be positioned so that its corners touch the circumference of the bottom tier;
The top tier is another cylinder inscribed in the middle tier.
You know that 250 mL of raw batter will produce 625 mL of cake. How much raw batter is required for this cake? Note: 1 mL = 1 cm3
Thanks so much :)
Click here to see answer by josgarithmetic(39617) |
Question 1043151: You own a bakery which specializes in custom orders. A customer requests to have a three-tiered cake made. Requirements are as follows:
Each tier is 15 cm high;
The bottom tier is a cylinder with a diameter of 45 cm;
The middle tier is a square–based prism. It must be positioned so that its corners touch the circumference of the bottom tier;
The top tier is another cylinder inscribed in the middle tier.
You know that 250 mL of raw batter will produce 625 mL of cake. How much raw batter is required for this cake? Note: 1 mL = 1 cm3
Thanks so much :)
Click here to see answer by MathTherapy(10552)  |
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