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

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Question 1180777: A square pyramid has a slant height of 25 m and a lateral area of 350^2 m. Which is the closest to the volume?
Click here to see answer by greenestamps(13200) About Me 
Question 1180777: A square pyramid has a slant height of 25 m and a lateral area of 350^2 m. Which is the closest to the volume?
Click here to see answer by MathLover1(20849) About Me 

Question 1180848: A square sheet of metal with sides 4a has a circle of diameter 2a and a rectangle of length 2a and width a removed from it . What is the area of the remaining metal in terms of \pi
Click here to see answer by MathLover1(20849) About Me 

Question 1181041: Okay, so I'm really struggling on this question, and I was wondering if someone could tell me what I'm doing wrong.
Ralph is painting the barn below, including the sides and roof. He wants to know how much paint to purchase.
The picture is in the link below:
https://founders.edtell.com/access/content/group/edtell_content_geometry/General%20Prisms.png

a. What is the total surface area that he is going to be painting? Round your answer to the nearest hundredth.
b. If one paint can covers 57 square feet, how many paint cans should he purchase?
c. If each paint can costs $23.50, how much will the paint cost?
d. Once the barn is finished being painted, there is going to be a party. Ralph wants to know how many people to invite to the party. What is the volume of the inside of the barn?

Here is the work I've done. I was told that it's incorrect. I looked back over it a couple of times, but I couldn't figure out where I went wrong. Can somebody please help me?
A.)
45x15x2=1350
20x15x2= 600
40x45x2= 3600
20x4= 80
1350+600+3600+80= 5630 ft
B.)
5630/57=98.77
98.77~99 cans
C.)
99x23.5=2326.5
2326.5= $2,326.50
D.)
45x20x15=19575
(1/2)x80x40x4=6400
19575+6400=25975 ft^3

Click here to see answer by MathLover1(20849) About Me 
Question 1181041: Okay, so I'm really struggling on this question, and I was wondering if someone could tell me what I'm doing wrong.
Ralph is painting the barn below, including the sides and roof. He wants to know how much paint to purchase.
The picture is in the link below:
https://founders.edtell.com/access/content/group/edtell_content_geometry/General%20Prisms.png

a. What is the total surface area that he is going to be painting? Round your answer to the nearest hundredth.
b. If one paint can covers 57 square feet, how many paint cans should he purchase?
c. If each paint can costs $23.50, how much will the paint cost?
d. Once the barn is finished being painted, there is going to be a party. Ralph wants to know how many people to invite to the party. What is the volume of the inside of the barn?

Here is the work I've done. I was told that it's incorrect. I looked back over it a couple of times, but I couldn't figure out where I went wrong. Can somebody please help me?
A.)
45x15x2=1350
20x15x2= 600
40x45x2= 3600
20x4= 80
1350+600+3600+80= 5630 ft
B.)
5630/57=98.77
98.77~99 cans
C.)
99x23.5=2326.5
2326.5= $2,326.50
D.)
45x20x15=19575
(1/2)x80x40x4=6400
19575+6400=25975 ft^3

Click here to see answer by ikleyn(52781) About Me 

Question 1181107: Geometry question, please help. Question is in the imgur link.
https://imgur.com/a/BXIktnb

Click here to see answer by greenestamps(13200) About Me 

Question 1181148: I need help whenever possible please
Find the surface area of a cylinder with a base diameter of 12cm and a height of 7cm
.
Write your answer in terms of pi, and be sure to include the correct unit.

(graph for question)
https://imgur.com/a/qwepcS9

Click here to see answer by josgarithmetic(39617) About Me 

Question 1181265: I apologize for posting this question twice, but when I got the automated email there must've been some sort of glitch because there was no link to the tutor's answer. :(
Graph for question: https://imgur.com/a/qwepcS9
Find the surface area of a cylinder with a base diameter of 12cm and a height of 7cm.
Write your answer in terms of , and be sure to include the correct unit.

Click here to see answer by josgarithmetic(39617) About Me 

Question 1181240: The diagonals of right trapezoid are perpendicular.
What is the area of the trapezoid if the parallel bases
measure 8cm and 18cm?

Click here to see answer by ikleyn(52781) About Me 
Question 1181240: The diagonals of right trapezoid are perpendicular.
What is the area of the trapezoid if the parallel bases
measure 8cm and 18cm?

Click here to see answer by greenestamps(13200) About Me 

Question 1181342: I have a homework assignment
Click here to see answer by ikleyn(52781) About Me 

Question 1181243: https://media.discordapp.net/attachments/723023718497910816/849268803228663808/unknown.png?width=447&height=121
Click here to see answer by greenestamps(13200) About Me 

Question 1181613: City ordinances only allow the resort to use 40,000 cubic feet of water in the pool without the fish tank. Show how to calculate the maximum depth the pool can be to stay under the 40,000 cubic-foot thresholds
Click here to see answer by greenestamps(13200) About Me 

Question 1181638: The total length of fencing needed to enclose a rectangular area 46feet by 34 feet is?
Click here to see answer by MathLover1(20849) About Me 

Question 1181782: Please help:
A triangle is placed in a semicircle with a radius of 9ft, as shown below. Find the area of the shaded region.
Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.

graph:
https://imgur.com/a/sD8ymWL

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1181827: Please help me verify my answer, and if I am incorrect please correct me

Image
https://imgur.com/a/NJ5P7XO

Click here to see answer by MathLover1(20849) About Me 
Question 1181827: Please help me verify my answer, and if I am incorrect please correct me

Image
https://imgur.com/a/NJ5P7XO

Click here to see answer by ikleyn(52781) About Me 

Question 1181830: I have a cone with a base radius of 4cm and a height of 12cm. I need to find the volume, and came up with this answer:
201.062
How do I write that in terms of pi?

Click here to see answer by Boreal(15235) About Me 

Question 1181775: A cylindrical post 6.28 in. in diameter is sur mounted by a part of a sphere 5.16 in. in radius, as shown in the figure. Find the surface and the volume of the part of the sphere used.
Click here to see answer by Solver92311(821) About Me 

Question 1181586: A candy company has decided to sell candy in a new package that is shaped like a triangular prism. In order to calculate the volume of the package, the area of the base must be determined.
If the base of the package is an equilateral triangle with sides 10 centimeters (cm) long, what is the area of the base?

Click here to see answer by Boreal(15235) About Me 

Question 1182275: Determine the area of the triangle △ABC in the diagram below. Round the answer to two decimal places if needed.
https://docs.google.com/document/d/1WvDRbA4pYipC9pLNNUzfvn46KWwN1aCmeV3zJjlbuQM/edit?usp=sharing

Click here to see answer by Edwin McCravy(20055) About Me 

Question 1182637: A rectangular lot 80 m x 40 m long is divided into two
areas by an arc whose center is at the mid-point of the
shorter side. If the radius of the arc is 30 m, what is the
ratio of the area of the smaller part to the area of the
bigger part?

Click here to see answer by greenestamps(13200) About Me 

Question 1183365: A cone has a slant height of 9cm and curved surface 65πcm^2 find:
(a) The base radius of the cone
(b) The perpendicular height of the cone (c) The vertical angle of the cone to the nearest degree

Click here to see answer by mananth(16946) About Me 

Question 1183364: A cone has a slant height of 9cm and curved surface 65cm^2 find:
(a) The base radius of the cone
(b) The perpendicular height of the cone (c) The vertical angle of the cone to the nearest degree

Click here to see answer by Solver92311(821) About Me 

Question 1183565: What is the area, in inches, of the figure in the image? Here is a link to the image: https://imgur.com/a/afQqvCE
Click here to see answer by ikleyn(52781) About Me 

Question 1183554: Determine the equation of the line tangent to 9x^2 + 16y^2 = 144 forming the triangle of least area with the x and y axes in the first qudrant. What is the area of the triangle with least area?
Click here to see answer by robertb(5830) About Me 

Question 1183622: In the diagram shown in the image, what is the area, in square units, of right triangle ABC with right angle ∠ABC. A link to the image: https://imgur.com/a/EhwZzKH
Click here to see answer by MathLover1(20849) About Me 
Question 1183622: In the diagram shown in the image, what is the area, in square units, of right triangle ABC with right angle ∠ABC. A link to the image: https://imgur.com/a/EhwZzKH
Click here to see answer by ikleyn(52781) About Me 
Question 1183622: In the diagram shown in the image, what is the area, in square units, of right triangle ABC with right angle ∠ABC. A link to the image: https://imgur.com/a/EhwZzKH
Click here to see answer by greenestamps(13200) About Me 

Question 1183623: A can in the shape of a right circular cylinder has a paper label covering all of the can except the circular top and the circular bottom. If the radius of the top of the can is about 1.6 inches and the height of the can is 4 inches, which of the following best approximates the area, in square inches, of the part of the can covered by the label?
A. 20
B. 32
C. 40
D. 127

Click here to see answer by MathLover1(20849) About Me 

Question 1183670: Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis and a tangent line to the graph of f=(x+8)^(−2)
Area =

Click here to see answer by Edwin McCravy(20055) About Me 

Question 1183646: Consider the ellipse x^2/9 + y^2/4 = 1 in the first quadrant.
Lines passing through the point (3/2, 1/4), which is inside this quarter-ellipse,
are free to pivot around it inside this region up to the y- and x-intercepts (0,2) and (3,0), respectively.
What is the maximum or minimum area of the region that can be enclosed by the ellipse x^2/9 + y^2/4 = 1,
any of the pivoting lines around the point (3/2, 1/4), and the x or y axis?
Thank you in advance.

Click here to see answer by Solver92311(821) About Me 

Question 1183685: Consider the quarter-ellipse x^2/9 + y^2/4 = 1 at the 1st quadrant. Two points (0,1/2) and (2,0) are fixed on the y- and x-axes, respectively.
A third point (x,y) is allowed to move along the quarter-ellipse, forming a triangle with the two other given points. Determine the coordinates of the point (x,y) on the curve which will give the triangle with
(i) The optimal area;
(ii) The optimal perimeter.

Click here to see answer by Alan3354(69443) About Me 
Question 1183685: Consider the quarter-ellipse x^2/9 + y^2/4 = 1 at the 1st quadrant. Two points (0,1/2) and (2,0) are fixed on the y- and x-axes, respectively.
A third point (x,y) is allowed to move along the quarter-ellipse, forming a triangle with the two other given points. Determine the coordinates of the point (x,y) on the curve which will give the triangle with
(i) The optimal area;
(ii) The optimal perimeter.

Click here to see answer by robertb(5830) About Me 
Question 1183685: Consider the quarter-ellipse x^2/9 + y^2/4 = 1 at the 1st quadrant. Two points (0,1/2) and (2,0) are fixed on the y- and x-axes, respectively.
A third point (x,y) is allowed to move along the quarter-ellipse, forming a triangle with the two other given points. Determine the coordinates of the point (x,y) on the curve which will give the triangle with
(i) The optimal area;
(ii) The optimal perimeter.

Click here to see answer by ikleyn(52781) About Me 

Question 1183787: Show that in the plane R^2, the area K of the parallelogram OXZY with vertices at O(0,0), X(x1,x2), Y(y1,y2), and Z(z1,z2) is given by
1. K^2 = |X|^2|Y|^2 - (X*Y)^2.
2. K = |x1*y2 - x2*y1|

Click here to see answer by robertb(5830) About Me 

Question 1183870: What is the area of the figure in the image? Dimensions are in feet. I got 56.13 ft^2, is this correct? Here is a link to the image: https://imgur.com/a/YZH5dS9
Click here to see answer by MathLover1(20849) About Me 

Question 1183915: Find the area of the polygon with the vertices P(-5,4), Q(2,4) and S(1,-1)
Express your answer in the simplest radical form
Please note : Student is only permitted to use formula Area= 1/2 bh
Cannot use this formula Area = 1/2[x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]

Click here to see answer by greenestamps(13200) About Me 

Question 1184303: What is the area of the region bounded by the curves +y+=+arcSin%28x%29+%2B+x+-+x%5E2+ and +y+=+arcSin%28x%29+-+x+%2B+x%5E2+ in the first quadrant and in the second quadrant?
Click here to see answer by robertb(5830) About Me 

Question 1184317: 1. A liquid is sold in plastic bottles of two sizes. The two bottles are exactly similar in
shape. The heights are 13 cm and 39 cm.
(a) Find the ratio in the form
1: n
of the areas of the plastic used to make the two
bottles. [3]
(b) The smaller bottle holds 250ml. Calculate the volume that the larger bottle holds.
[3]
(c) Define congruency and give a clear, practical example. [4]

Click here to see answer by ikleyn(52781) About Me 

Question 1184992: A 34-foot ladder is leaning against a building. The base of the ladder is
16 feet from the side of the building. How high does the ladder reach along the side of the building?

Click here to see answer by Alan3354(69443) About Me 

Question 1184989: When Fidel and Janette were married, his age was 3/2 of her age. If on their
golden wedding anniversary, Fidel’s age will be 8/7 of Janette’s age, how old will
each of them be on their golden anniversary?

Click here to see answer by ikleyn(52781) About Me 
Question 1184989: When Fidel and Janette were married, his age was 3/2 of her age. If on their
golden wedding anniversary, Fidel’s age will be 8/7 of Janette’s age, how old will
each of them be on their golden anniversary?

Click here to see answer by JBnovelwriter(34) About Me 

Question 1184988: A vendor paid Php 175.00 for a basket of mangoes. He brought home 10% of the mangoes and sold the remainder at Php 2.50 each for a profit of Php 50.00. How many mangoes did he purchased?
Click here to see answer by ikleyn(52781) About Me 
Question 1184988: A vendor paid Php 175.00 for a basket of mangoes. He brought home 10% of the mangoes and sold the remainder at Php 2.50 each for a profit of Php 50.00. How many mangoes did he purchased?
Click here to see answer by JBnovelwriter(34) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840