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

Tutors Answer Your Questions about Surface-area (FREE)

Question 1203371: A rose garden is formed by joining a rectangle, and semi circle, as shown below. The rectangle is 20 feet long and 12 feet wide. Find the area of the garden. Use the value of 3.14 for pi, and do not round your answer. Be sure to include the correct unit and answer.
Click here to see answer by ikleyn(53763)

Question 1203988: If 1 gallon of paint covers 450 sq. feet, how many gallons are needed to paint a room with 675 square feet of wall surface?
Click here to see answer by MathLover1(20855)

Question 1203988: If 1 gallon of paint covers 450 sq. feet, how many gallons are needed to paint a room with 675 square feet of wall surface?
Click here to see answer by math_tutor2020(3835)

Question 1205069: In a cube, the length of GH is 34 cm. Point g is the mid-point of EF, while E and F are mid-points of AC and AB respectively. H is the back corner of the cube. There are lines BH and FH, which are hypotenuses of right triangles. BH is x√2. FH is 3x/2.
Click here to see answer by ikleyn(53763)

Question 1205110: In the cube illustrated, the length of overline GH is 34 cm. Point G is the mid-point of overline EFwhile E and F are mid-points of overline AC and overline AB respectively. Find the surface Of the cube
Click here to see answer by greenestamps(13334)

Question 1205384: Hi
just out of interest is there a method of calculating the total surface area of of stacked cubes.
Thank you
Click here to see answer by ikleyn(53763)

Question 1205789: The entrance of the Louvre in Paris is square based pyramid with the height of 21.6m. The side length of the square base is 35m. Calculate the total surface area of the four triangular faces to the nearest square metre.
Click here to see answer by MathLover1(20855)

Question 1205788: The entrance of the Louvre in Paris is square based pyramid with the height of 21.6m. The side length of the square base is 35m. Calculate the total surface area of the four triangular faces to the nearest square metre.
Thank you
Click here to see answer by MathLover1(20855)

Question 1205822: If line DE = in the diagram, what is the area of the shaded region?
Diagram: https://imgur.com/a/XXwkJc5
Click here to see answer by ikleyn(53763)

Question 1205840: A circle passes through A and B, and is tangent to line CD. Find its area, in cm^2.
Diagram: https://imgur.com/a/XwWg5Kc
Click here to see answer by ikleyn(53763)

Question 1205829: A metal cylindrical-shaped can that is open on the top can be re-purposed
as a vase. The surface of the can will be painted at a cost of $0.03 per
square inch. The diameter of the base is 6 inches (in.) and the height of
the cylinder is 9 inches (in.) as shown.
What is the cost of painting 10 metal cans? The surface area formula of
the cylinder with an open top is π r 2π rh 2 + , where r is the radius of the
base and h is the height. Use π = 3.14.
Ⓐ $197.82
Ⓑ $135.65
Ⓒ $67.82
Ⓓ $59.35
Click here to see answer by ikleyn(53763)

Question 1205893: A desk is made up of 2 rectangles and a triangle. what is the area of the figure?
https://imgur.com/UJr5y2R

Click here to see answer by ikleyn(53763)

Question 1206289: a cylindrical drain pipe has internal and external diameter of 6.4cm and 7.6cm, respectively
calculate the mass of the pipe per metre if it is made of metal of density 8 g/cm^3

Click here to see answer by ikleyn(53763)

Question 1206546: Find the surface area of a sphere with radius =7 in.
Click here to see answer by josgarithmetic(39799)

Question 1206679: In the circle in the diagram, AC is the diameter and BD is the radius that splits the upper semicircle in half. What is the measure of ABD?
Click here to see answer by mananth(16949)

Question 1098376: a spherical watermelon of radius 4cm is halved. the uniform width of the white part surrounding the red edible part is 1cm. from half of the melon, the red part of the fruit is scooped out. find (i)the volume of the edible part of the fruit taken out (ignore the volume of seeds). take pi=3.14
(ii) the surface area of the white part of that hemispherical piece

Click here to see answer by mananth(16949)

Question 1206778: 8 square root 3 - 2 square root 2
Click here to see answer by Edwin McCravy(20081)

Question 1206922: Find the area of the shaded regions. Express the answer as a single fraction in simplest terms. https://imgur.com/a/gROF8I8
Click here to see answer by math_tutor2020(3835)

Question 1207323: For a ballet production, a truncated pyramid is constructed with a square base of 10 meters on a side, a height of 8 meters and a summit height of 2 meters. What is the total area of the surfaces of the truncated pyramid?
Click here to see answer by greenestamps(13334)

Question 1207522: A uniform plank PQ of length 20m weighing 55N on a ceiling with an inextensible wire 3m away from P. To keep the plank horizontally, it is made to rest on a support 8m from Q. Calculate the tension T on the wire and the weight W exerted on the support.
Click here to see answer by ikleyn(53763)

Question 1207594: You need to create a fenced off region of land for cattle to graze.The grazing area must be a total of 500 square feet, surrounded by a fence, and in the shape of a regular polygon.Within this grazing area, the length of the apothem must be 10 feet long.
Part I. Find the total perimeter of the grazing area.
Part II.If the cost of the fence is $7.95 per linear foot, how much will it cost to place a fence around the entire grazing area?
Part III.Suppose this grazing area isof an industrial grazing area for a major industry farm.What is the total cost to build a fence around the entire land of the large scaled farm?
Include all of the necessary calculations in your final answers for Parts I, II, and III.
Click here to see answer by Edwin McCravy(20081)

Question 1207754: find the number of 15 centimetre square tiles required to cover a rectangular floor of 5.4m long and 4.05m wide. find the cost of tiling the floor if each tile costs RM 3
Click here to see answer by mananth(16949)

Question 1207778: A car starts from rest and accelerates at 1ms^{-2} for 10 seconds It then continues at
uniform speed for another 20 seconds and decelerates to rest in 5 seconds.Find the:
(a)distance travelled;
(b) average speed;
(c) time taken to cover half the distance.
Click here to see answer by ikleyn(53763)

Question 1208903: Let L = lateral area.

Given L = pi•r•sqrt{r^2 + h^2}, solve for h.
Click here to see answer by ikleyn(53763)

Question 1208904: Let T = total surface area of a cylinder.

Solve T = pi•r•sqrt{r^2 + h^2} + pi•r^2 for h.

Click here to see answer by ikleyn(53763)

Question 1208984: ABC is an equilateral triangle with sides of length 8 cm. Arc- AB, Arc-AC and Arc- BC are arcs of circles having their centres at C, B and A respectively. Find the total area of the non-shaded region of the diagram, in cm2.
https://ibb.co/pyVMjVQ
Click here to see answer by ikleyn(53763)

Question 1208980: In the diagram AD = 4 cm, EF = 3 cm, and parallel segments are indicated. If the total area of the trapezoid is 135 cm2, what is the area, in cm2, of triangle AMN?
https://ibb.co/ggBgSQB
Click here to see answer by math_tutor2020(3835)

Question 1209056: A square piece of tin is made into an open box by cutting a 9 cm square from each corner. The volume of the box is 3249 cm3. What was the area, in cm^2, of the original piece of tin?

Click here to see answer by ikleyn(53763)

Question 1209054: The four sides and one diagonal of a rhombus each have sides 3√6 cm long. Find the area of the rhombus, in cm^2.

Click here to see answer by ikleyn(53763)

Question 1209054: The four sides and one diagonal of a rhombus each have sides 3√6 cm long. Find the area of the rhombus, in cm^2.

Click here to see answer by math_tutor2020(3835)

Question 1209054: The four sides and one diagonal of a rhombus each have sides 3√6 cm long. Find the area of the rhombus, in cm^2.

Click here to see answer by MathTherapy(10809)

Question 1209055: In the diagram, ABCD is a parallelogram with AB=37 cm. AD is a semi- circle.
The area of the parallelogram is 518 cm^2, and < ADC = 60°. Find the area of the shaded region in cm^2.
https://ibb.co/xs0HGmk

Click here to see answer by ikleyn(53763)

Question 1209087: A regular hexagon is inscribed in a circle. Find the ratio of the area of the hexagon to the area of the circle.
https://ibb.co/gyKHVbS
Click here to see answer by ikleyn(53763)

Question 1209089: ABCDEF is a regular hexagon, and PQR is an equilateral triangle. Find the ratio of the area of the triangle to the area of the hexagon.
https://ibb.co/BtQsnFj
Click here to see answer by ikleyn(53763)

Question 1209088: There are two equilateral triangles with different areas, where O and O' are their circumcenters respectively. In the first, the distance OA is 9 cm, and in the second, the distance O'C' is 4√2 cm. Find the ratio of the area of the first to the area of the second.
https://ibb.co/Cz6tWsL
Click here to see answer by ikleyn(53763)

Question 1209158: In the diagram equal angles are marked. Given that
EB=6 cm, CE 18 cm and DB=4 cm. Find the area of Triangle ABC.
https://ibb.co/vxJcWkc
Click here to see answer by greenestamps(13334)

Question 1209156: In the diagram, BD=15 cm and DC=6 cm. Find the ratio of the area of the parallelogram to the area of Triangle ABC.
https://ibb.co/MDp9vC7
Click here to see answer by greenestamps(13334)

Question 1209171: ABCD is a square with sides 4 cm. Arcs of radius 4 cm are drawn with centres at B and D. Find the area of the shaded region, in cm2.
https://ibb.co/QNyNx4J
Click here to see answer by ikleyn(53763)

Question 1209427: The height of a cylinder is equal to the length of its diameter. The curved surface area of the cylinder is 100cm squared. Calculate the height
Click here to see answer by AnlytcPhil(1810)

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