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

Tutors Answer Your Questions about Surface-area (FREE)

Question 1198363: Jonathan has 1000 feet of fencing available to fence in the rectangular yard next to his house. What is the maximum enclosed area if the side along his house does NOT need to be fenced?
Which of the following is correct?
A) 6,250 square feet
B) 1,250 square feet
C) 62,500 square feet
D) 125,000 square feet
E) 625 square feet
Click here to see answer by ikleyn(52781)

Question 1198597: The lateral surface of a right circular cone is cut along an element and the surface is “spread out” on a plane. The resulting figure is a quadrant of a circle whose radius is 6 in. The volume of the cone may be expressed as V= (xπ√γ)/z 〖in〗^3 where, x, y, and z are positive integers. Find the smallest sum of x, y, and z.
Click here to see answer by greenestamps(13200)

Question 1198596: A block of wood is in the form of a right circular cone. The altitude is 12 cm and the radius of the base is 5 cm. A cylindrical hole 5 cm in diameter is bored completely through the solid, the axis of the hole coinciding with the axis of the cone. The amount of wood left after the hole is bored may be expressed as V= xπ/(γ ) 〖cm〗^3 where x is a positive integer and y is a prime number. Find ∛x + γ.
Click here to see answer by greenestamps(13200)

Question 1198681: the volume of a sphere is tripled. what is the increase in surface area if the the radius of the original ssphere is 50 cm?
Click here to see answer by Alan3354(69443)

Question 1198770: In the figure, P and Q are the centers of two tangent circles and the line PQ intersects the circles at Point A and B. The larger circle touches the side CD of the rectangle ABCD at point T. If the area of ABCD is 15, what is the area of the triangle PQT?
Click here to see answer by lotusjayden(18)

Question 1199153: A triangle is folded along the dashed line as shown. The area of the starting triangle is 1.5 times the area of the resulting figure. We know that the total area of the grey parts is 1. What is the area of the starting triangle?
Click here to see answer by lotusjayden(18)

Question 1199103: A box open at the top has a rectangular base 200mmx300mm and an altitude of 150mm. If the base and the sides are 10mm thick, find the total surface area of the box.
Click here to see answer by Alan3354(69443)

Question 1199295: What is the surface area of a sphere with a diameter of 14 in.?
Click here to see answer by MathLover1(20849)

Question 1199296: A circle has an area of approximately 615.75 in2.
What is the circumference of the circle? Use 3.14 for
π
.
Click here to see answer by ikleyn(52781)

Question 1199296: A circle has an area of approximately 615.75 in2.
What is the circumference of the circle? Use 3.14 for
π
.
Click here to see answer by MathLover1(20849)

Question 1199292: What is the approximate capacity of a spherical water tank with a radius of 7 ft?
Click here to see answer by ikleyn(52781)

Question 1199294: How many square centimeters of sheet metal are required to manufacture a can with a radius of 3.5 cm and a height of 8 cm without overlapping?
Click here to see answer by MathLover1(20849)

Question 1199355: Find the surface area of a rectangular prism with a length of 3 in., a width of 4 in., and a height of 5 in.
Click here to see answer by ikleyn(52781)

Question 1199354: A triangular window has an area of 600 in2. The base of the window is three times its height.

What is the length of the base of the window?
Click here to see answer by ikleyn(52781)

Question 1199353: A teacher is making a game of ring toss for her class. She starts by using a circle with a diameter of 10 in. and then cuts out a smaller circle with a diameter of 6 in., leaving a ring.
What is the approximate area of the remaining ring?
Click here to see answer by ikleyn(52781)

Question 1199352: A gardener has a rectangular garden with an area of 374 yd2. The length of the garden is 17 yd. The gardener wants to enlarge the garden by doubling only the width of the current garden.

How much fencing will the gardener need to enclose the new garden?
Click here to see answer by ikleyn(52781)

Question 1199394: A rectangle is inscribed in a circle of radius r. If the rectangle has length 3x, write the area of the rectangle as the product of two functions.

Click here to see answer by ikleyn(52781)

Question 1199419: In the diagram, line BC = 5 cm, and curved line DE is tangent to line AC. Find the area, in cm2, of the quarter circle BDE with centre B.
https://ibb.co/6bcN9jh
A) 160
B) 215
C) 245
D) 260
E) 280

Click here to see answer by josgarithmetic(39617)

Question 1199497: A box measures 22 inches by 15 inches by 12 inches.
What is the area of its largest sides? What is the volume
of the box?
Click here to see answer by josgarithmetic(39617)

Question 1199754: The surface area of a cube is 45414 cm^2. The length of one of its edges, in cm, is
Click here to see answer by ikleyn(52781)

Question 1199754: The surface area of a cube is 45414 cm^2. The length of one of its edges, in cm, is
Click here to see answer by greenestamps(13200)

Question 1200737: Five centimeters are cut off (along one side of) of a square sheet of paper and 8 cm are added to the adjacent side. The resulting rectangular sheet of paper has a perimeter of 98 cm.
a) What was the area of the original square piece of paper?
b) What is the length of the diagonal of the resulting rectangular piece of paper?

Click here to see answer by Theo(13342)

Question 1201660: what is the area of a regular nonagon with an apothem of 8 m
Click here to see answer by math_tutor2020(3817)

Question 1201760: the lateral area of a cylinder is four times the area of its base. What is the height of the cylinder in terms of its radius

Click here to see answer by josgarithmetic(39617)

Question 1201827: two squares are joined together. the bigger one has an area of 75m² and the smaller one has an area of 27m². find the combined perimter of them. express answer in radical form
Click here to see answer by mananth(16946)

Question 1201958: max is building a rectangular planter without a top. the planter will be 5 inches wide, 15 inches long, and 8 inches tall. how much wood is needed to make the planter?
Click here to see answer by ikleyn(52781)

Question 1198595: A circular sector has a radius of 20 in. and a central angle of 120°. If this sector is cut out of paper and rolled so as to form the lateral surface of a right circular cone, find the total area and volume of the cone. The volume of the solid generated by this triangle may be expressed as V= βπ/σ √γ 〖in〗^3 where β and σ are positive integers and γ is a prime number. Find the smallest sum of β, γ, and σ.
Click here to see answer by mananth(16946)

Question 1130610: Mr qadri bought a piece of land for Rs 3,60,000 at Rs 1200 per sq. m. Find the length of the plot if the breadth is 3\4 of the length

Click here to see answer by mananth(16946)

Question 1202708: How can I find the Fourier coefficients of the function f defined by f(x) = x², [-π, π] where f(x + 2π) = f(x)?
Click here to see answer by ikleyn(52781)

Question 1203208: https://snipboard.io/Z9BMkH.jpg
Click here to see answer by ikleyn(52781)

Question 1203208: https://snipboard.io/Z9BMkH.jpg
Click here to see answer by papachick24025(6)

Question 1203208: https://snipboard.io/Z9BMkH.jpg
Click here to see answer by greenestamps(13200)

Question 1203208: https://snipboard.io/Z9BMkH.jpg
Click here to see answer by MathTherapy(10552)

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