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

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Question 140289: We want to bbuild a pen out of 600 meters of fence. It is to be rectangular and divided into two congruent sections. What dimensions will give us the largest possible area?
I am lost. Do I have to use the derivative?

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Question 140334: I can not figure this out.
A rectangular prism has a square base, a height of 10cm and a surface area of 1,050 square cm. Find its volume.
thankyou. I hope someone can help me.

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Question 140697: The surface area of a cube is 726in to the 2nd power. What is the length of each lateral edge of the cube?
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Question 140800: The area of a rectangle is 24 square meters.Find the length and width of the rectangle if its length is 2 meters greater than its width. Use an equation and the formula---->area of the rectangle=(width)(length).
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Question 140872: Mrs. Sadsad has just purchased her first house. She doesn't like the carpet in her new house. She has gone to Home Depot and found some carpet she likes very much. Her budget for carpet is $1500.00. If her home is 28ft x 40ft and the carpet she likes is $9.99 per sq.yard,can she afford it? (assume that her house has no interior walls and that 28ft x 40ft is the interior dimension)
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Question 140878: square inside a circle and i don't have the book
if the area of the square is 144 find the area of the circle

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Question 141056: Given a sphere of known radius,R. The surface area is 4*pi*R^2.
What is the surface area of a circle of radius r drawn on that sphere? I know that the answer is more than pi*r^2.
Thank you,
Charles Palm

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Question 141059: How does one find the Surface Area of this composite solid with rounding the results to two decimal places:
There is half a sphere with a radius of 5.1 attached to a cone with the height of 12.2. Note:The radius of the of the sphere is shared with the cone.

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Question 141243: A rectangular lot measures 66m by 107m A sidewalk surrounds the lot The sidewalk is 2m wide what would the area of the sidewalk be
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Question 140576: Hello! i really need help with surface area of a cylinder, please help me.
the base is 1 cm and the height is 2 cm
what do i do?
THANK YOU SO MUCH!

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Question 141510: three faces of a box have a common vertex and their combined area is 20cm squared. What is the total surface area of the box?
thank you.

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Question 141916: I have tried to solve this equation, but so far, I have been unsuccessful. I keep getting different answers because I don't know if I am reading the problem correctly. Any help will be greatly appreciated.
The problem given is:
A rectangular field has an unknown width. The length is 2 more yards than the width and the total is area is 120 yards with an exponent of 2 above and to the right the "s" in yards. I am not sure if this means yards squared or square yards.
I have tried either squaring the 120 yds. or finding the square root of 120. In either scenario can I get the numbers to total 120 when plugging the values in for "x".

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Question 142358: What is the largest possible area of a rectangle with integer side length and a perimeter of 22?
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Question 142358: What is the largest possible area of a rectangle with integer side length and a perimeter of 22?
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Question 142497: Ho do I find out what is the surface area of a box that is 5 feet long, 3 feet wide and 7 feet high?
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Question 142610: My 4th Grader did a project on Does the shape of an ice cube affect it's melting rate. His hypothesis was that cubes with the most surface area melted the fastest. All used the same volume, 3 were more cylindrical in shape and one was rectangular in shape. In calculating the surface area:
Radius Cube 1 2.0 Height 1.25 We came up with 40.82 Surface Area
Radius Cube 2 2.75 Height .45 We came up with 55.264 Surface Area
Radius Cube 3 4.5 Height .25 We came up with 134.235 Surface Area
Last Cube was Rectangular in Shape
Length 4.375
Width 1.7
Height .5
We came up with 20.95 Surface Area
On the cylinder cubes, the melting rate followed the pattern that the surface area affected the melting rate. However when looking at the surface area of the rectangular cube, even though it's surface was the lowest, it was actually the second fastest cube to melt.
Are these two types of surface areas viewed differently? Or did we need to have another test cube that was rectangular?

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Question 142837: determine the number of face vertices and edges of the solids
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Question 142910: a prism has a a square base with 4 meter sidesand a height of 15 meters. find its volume.
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Question 143127: Hello
Do you know what the formula to find the area of a shaded region in a circle is?
In this problem I'm working on, the radius is 5m and the shaded region is 75 degrees.
Thank you

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Question 143143: The area of a rectangular parcel of land is 720 square meters. The length of the land is 4 meters less than twice the width.
A. Write an equation that can be used to find the dimensions of the land.
B. Solve the equation written in part A to find the dimensions of the land.

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Question 143334: What is the lateral area of a pyramid whose base is a square with side length 6 ft, and whose height is 4 ft and slant height is 5 ft?

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Question 143333: What is the total area of a cone with height 24, radius 7, and slant height 25?
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Question 143587: a sphere has a radius of 4. find the surface area
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Question 143638: Hello this is a word problem but i do not know what steps to take to solve it, please help.

James is building a new desk, to make sure he had made a square corner he measures 8 ft from the corner along one edge and 5 ft from the corner along the other edge. How long should the diagonal be between those two points if the corner is a right angle.
diagonal=_______ft? round to the nearest thousandth

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Question 143768: If the sides of a square are lengthened by 7 cm, the area becomes 144cm^2. Find the length of a side of the original square.
The length of a side of the original square is _____ cm.

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Question 143813: What are the dimensions of a cube that has a total volume of 1.0 Liters?
i have tried the formula: S^3. So i think the dimensions would be 1.

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Question 143995: Please help me find a solution to this problem I am having trouble understanding how to work it out. If the volume of a sphere is 500Pi/3m cubed what is the diameter of the sphere?
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Question 144146: please solve this prloblem, A radius of 3.5in. C=
Thank You.

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Question 144144: please solve this prloblem, A radius of 3.5in. C=
Thank You. C = 2*PI*R, or 7 times PI. 7 x 3.1416 = 21.9912.

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Question 144157: Please forgive me i have the right email address now. 1. Find the circumference of a circle with: a.) A radius of 3.5in. C=, b.) A diameter of 12in. C=.
2. Find the area of both circles in #1: a.) A=_______________, b.) A=____________.
3. How many inches of tape would you need to go once around the middle of a ball that has a diameter of 7 inches?
1a C=2xPIxR = 7 times PI = 21.98
1b C = 12xPI = 37.68
2a A = PIxRxR = 12.25 x PI = 38.48451
2b A = PIx6x6 = 36 x PI = 113.097
3 C = 7 x PI = 21.99
PI = 3.14159, 3.14 used in some answers

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Question 144358: Find the surface area of a right solid 8" high with the base of 10" x 10" x 4".
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Question 144505: I'm trying to find the number of sq in or sq ft of the surface of a oval table I'm refinishing. The table is 54"x62" Thank You ABF
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Question 144905: Given that the volume of a cylinder is 150, and the radius of the cylinder is twice the height, find the surface Area of the cylinder.
I got 2766.75 as the answer but that is not correct

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Question 144876: what is or how do i find the area of a fenced yard with a length of 92 feet and a width of 17 feet
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Question 145155: determin the area of a pentagon of radius 40cm
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Question 145472: Find the surface area of a right solid of 8 inch high with the bse of 10in x 4 in x 10in.
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Question 146107: what is the volume of the cube if the surface area is 36 centimeter cubed?
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Question 147083: If a figure has 7m x 3m and the base for this solid is 8m high. What would the calculation be for the surface area of this solid.
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Question 147459: What is square of 1212 metre? And would like to know the square feet for the 1212 metre?
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Question 147807: Find the area of the region between a regular hexagon with sides of 6" and it's inscribed circle.

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Question 148380: The length of an edge of a cube is 4 cm. Find the total area of the cube
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Question 148413: A=1%2F2abs%28matrix%283%2C3%2Ca%2Cb%2C1%2Cc%2Cd%2C1%2Ce%2Cf%2C1%29%29
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Question 148398: In square units what is the area of triangle ADB
Given:
Triangle ABC
Triangle DBC
Triangle ADB
AD= 6
DC= 4
BC= 8
Angle ACB is a right angle
D is a point on line AC

I tried to insert the picture but i couldn't sorry


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Question 149114: please help!!!
the robinson track is shpaed like a rectangle with a semicircle on each of the shorter sies. the distance around the track is 1/4 mile. the straightaway is twice as long as the width of the field. what is the area of the field enclosed by the track to the nearest square foot?
thank you sooo much !

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