Questions on Word Problems: Geometry answered by real tutors!

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Question 159331: The steeple of a building is in the shape of a regular pyramid with a triangular base.Each of the 3 base sides is 4.6 meters long,and the steeple is 7.0 meters high. Compute the number of cubic meters of air space contained in the steeple. Round the answer to the nearest cubic meter.
Click here to see answer by gonzo(654) About Me 

Question 159321: A 0.460 inch diameter brass rod is 8'5 7/32 long. Round answers to A. and B. to 3 significant digits.
A. Find the volume in cubic inches, of the rod.
B.Compute the total weight of 40 rods. Brass weighs 0.300 pound per cubic inch.

Click here to see answer by nerdybill(7384) About Me 

Question 159328: A container is in the shape of a right cicular cone. The base area is 4.8 square feet and the height is 1.5 feet. Compute the capacity of the container in gallons.
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Question 159406: The length and width of a rectangle are consecutive odd integers. The area of the rectangle is 63 square units. How long is the longest side of the rectangle?
Click here to see answer by edjones(8007) About Me 

Question 159421: Please help..(I am the mom :)
The length of a rectangle is 3 times the width. The perimenter is 96 cm. Find the width and the length.
I know that P= 2(L+W). But I can't figure out the correct equation to get the length and width.
Thanks,KS

Click here to see answer by jojo14344(1513) About Me 
Question 159421: Please help..(I am the mom :)
The length of a rectangle is 3 times the width. The perimenter is 96 cm. Find the width and the length.
I know that P= 2(L+W). But I can't figure out the correct equation to get the length and width.
Thanks,KS

Click here to see answer by scott8148(6628) About Me 

Question 159458: A rectangular swimming pool has a length of 10 feet and a width of 8 feet. The water in the pool has a depth of 6 feet. If you add 40 cubic feet of water to the pool, how much will the depth of the water increase?
I don't understand what formula to use, or how to figure it out.

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

Question 159620: The area of a square is a 1/4 as large as the area of a triangle. The triangle has a 16 inch side and altitude H the same as the square. Draw the diagrams. Find the length of the side of the square.
Click here to see answer by checkley77(12844) About Me 

Question 159584: Would you please help me solve this problem.
It is in regards to indirect measurement.
I need to find the height of a flagpole.
There is a person who is 5'.9" tall. His shadow is 12'. The shadow of the flagpole is 30'. I have to find the height of the flag pole. Do I convert everything to inches? 12/30 = 5'.9"/x
or do I do 144/360 = 69/x? (This is a conversion of feet into inches). Every answer I come up with does not make sense.

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Question 159720: The area of the opening of a rectangular window is to be 143 square feet. If the length is to be 2 feet more than the width, what are the dimensions?
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Question 159731: Find the dimensions of a rectangle whose perimeter is 26 meters and whose area is 40 square meters.
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Question 159731: Find the dimensions of a rectangle whose perimeter is 26 meters and whose area is 40 square meters.
Click here to see answer by jojo14344(1513) About Me 

Question 159747: An adjustable water sprinkler that sprays water in a circular pattern is placed at the center of a square field whose area is 1250 square feet. What is the shortest radius setting that can be used if the field is to be completely enclosed within the circle?
Click here to see answer by edjones(8007) About Me 
Question 159747: An adjustable water sprinkler that sprays water in a circular pattern is placed at the center of a square field whose area is 1250 square feet. What is the shortest radius setting that can be used if the field is to be completely enclosed within the circle?
Click here to see answer by jojo14344(1513) About Me 

Question 159756: a rectangular swimming pool is 2 m longer than it is wide.if the width is decreased by 3m, and the length is increased by 4m the area remains the same as the original area.find the original dimensions of the pool?
Click here to see answer by KnightOwlTutor(293) About Me 

Question 159750: the length of a rectangle is 3cm greater than the width.if each dimension is increased by 2cm,the areais increased by 26cm^2.find the original dimensions of the rectangle?
Click here to see answer by KnightOwlTutor(293) About Me 

Question 159763: An open box is to be constructed from a square piece of sheet metal by removing a square of side 1 foot from each corner and turning up the edges. If the box is to hold 4 cubic feet, what should be the dimensions of the sheet metal?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 159823: A square piece of cardboard is formed into a box by cutting out 2-inch squares from each of the corners and folding up the sides. If the volume of the box needs to be 84.5 cubic inches, what size square piece of cardboard is needed?
Click here to see answer by checkley77(12844) About Me 
Question 159823: A square piece of cardboard is formed into a box by cutting out 2-inch squares from each of the corners and folding up the sides. If the volume of the box needs to be 84.5 cubic inches, what size square piece of cardboard is needed?
Click here to see answer by Earlsdon(6294) About Me 

Question 159909: Hello-Today on test, I was unable to prove that x=2. Given: 1/2x + 1 = 2x -2.
I know x=2 but kept coming up with x=1 when I did all of the steps. I must be doing something wrong. Thanks.

Click here to see answer by nerdybill(7384) About Me 

Question 159957: hi, im working on complements and suplements of angles and i had a question from my worksheet.
"The measure of the complement of an angle is 45+x. The measure of the supplement of an angle is 15x-47. What is the measure of the angle?"
My work: 45 + x = 90 15x - 47 = 180 15x 227
-45 = -45 +47 = +47 ---- = --- =(x = 15.13333333)
------------- --------------- 15x 15x
(x = 45) 15x = 227
what i dont get is what to do next. the question is asking for only one of the angles but i have two x's. If i plugg them in then i have two different answers. What should i do next to finish this problem?

Click here to see answer by stanbon(75887) About Me 

Question 123876: directions: write a rational number in simplest form for decimal expansion. my decimal expansion is 1.290 with a line over 90 to make it repeating. my fraction was 71/55. am i correct?
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Question 160405: I am having some trouble getting the answer to this problem could someone help me?
A 25in T.V. set has a width of 20in, what is the height of the T.V.?

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Question 160405: I am having some trouble getting the answer to this problem could someone help me?
A 25in T.V. set has a width of 20in, what is the height of the T.V.?

Click here to see answer by Earlsdon(6294) About Me 

Question 160650: I need to find all the different triangles that have sides with whole number lengths and a perimeter of 12.
I need to find the possibilities for length and width for a rectangle with an area of 120 cm2 if the side lengths are whole numbers and which possibility gives the smallest perimeter

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Question 160541: find the value of k so that the line through (4,k) and (-2,-1) is parallel to y=-2x+3/2
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 160779: Find the angles of a triangle where one angle is three times a second angle and six times the third angle.
I think the variables should be:
x = one angle
3x = second angle
6x = third angle

Click here to see answer by vleith(2983) About Me 

Question 160850: The perimeter of a rectangular room is 37 3/5 ft. The width is 6 4/5 feet. Find the length.
I know the formula is p=2l + 2w but the fractions and information are confusing

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Question 160903: Mary anne is building a fence around the outer edge of a rectangular garden plot that measures 25 feet by 45 feet. She will st the posts 5 feet apart. How many posts will she need?
Click here to see answer by KnightOwlTutor(293) About Me 

Question 161047: Hi I really need help on my math homework. Here is the question: The length of a rectangle exceeds its width by 4 feet. If the width is doubled and the length is decreased by 2 feet, a new rectangle is formed whose perimeter is 8 feet more than the perimeter of the original rectangle. Find the dimensions of the original rectangle.
My teacher says that we have to do "let" statements first. Her are mine:
Let x= the width of the rectangle
Let x + 4= the length of the rectangle
I am not sure if these let statements are right, and if they are i am not sure how to set up the equation. Thanks for help

Click here to see answer by ptaylor(2198) About Me 

Question 161048: Hi! Can you help me? Here's the question: A side of a square is 10 meters longer than the side of an equilateral triangle. The perimeter of the square is 3 times the perimeter of the triangle. Find the length of each side of the triangle. My teacher says we have to do "let" statements. I think the let statement is
Let x = the length of one side of the triangle. I am not sure if this is correct, but if it is i am not sure how the set up the formula to solve for x.
Thanks for your help.

Click here to see answer by scott8148(6628) About Me 

Question 161175: Home Depot sells plywood to cover the outside walls of a home in 4 foot by 8 foot sheets for $15 per sheet. You have a framed wall thatis 8 foot high by 40 feet long. How many sheets of plywood will it take to cover the space?
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Question 161400: Building a hexagon shaped patio with six equal sides.The ciritical measurement is from the vertex of one angle across the hexagon to the opposite vertex.The measurement is 15 feet. What will be the area of the patio in sqaure feet?
I figured out there will be 6 triangles and I have to use the pythorean theory to find the measurements of all six triangles. One measurement must be 7.5 ft. beacause that is half of 15 ft. After I find the height of the triangles I know I would use the A=1/2 bh formula to find area. I am not sure how to put it all together.

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Question 161648: The length of a rectangle is 3 feet less than half the width of the rectangle. If the perimeter of the rectangle is 174 feet, find the width and the length
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Question 161650: The length of a rectangle is 3 feet less than twice the width of the rectangle. If the perimeter of the rectangle is 174 feet, find the width and the length
Click here to see answer by nerdybill(7384) About Me 

Question 161654: A triangle has a perimeter of 161 miles. Each of the two smaller sides of the triangle is two thirds the length of of the longest side. Find the length of each side of the triangle.
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Question 161667: A motorboat left a harbor and traveled to an island at an average rate of 15 knots. The average speed on the return trip was 10 knots. If the total trip took 7.5 hours, how far is the harbor from the island?
Click here to see answer by checkley77(12844) About Me 

Question 161666: A triangle has a permimeter of 161 miles. Each of the smaller two sides of the triangle is two-thirds the length of the longest side. Find the length of each side of the triangle.
Click here to see answer by checkley77(12844) About Me 

Question 161665: the complement of an angle is 20 degrees less than half the supplement find the angle its complement and its supplement
90-x=(180-x)/2 -20

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Question 161688: Please solve 3x^2=15, and what are the x-intercepts? Thank you,
Click here to see answer by Earlsdon(6294) About Me 

Question 161723: what is the measure of the larger angle of two supplementary angles if two-fifths of the larger angle is 5 less than the smaller angle?
Click here to see answer by nerdybill(7384) About Me 

Question 161867: In a triangle, one angle is 6 degrees more than the second angle. The third angle is 18 degrees more than the second angle. Find the measure of each angle.
Click here to see answer by checkley77(12844) About Me 

Question 161869: The length of a rectangle is 2x+3. The width is x-3. Express the area of the rectangle in terms of the variable x.

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Question 161947: A photo is 3 inches longer than it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo?
I know the length and the width are are 12 and 9. I assume that I would subtract 2 from both of these in for the answer. I just don't know how to write it in the form of an equation.

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Question 161961: The lengths of the sides of a triangle are consecutive even integers. Find the length of the longest side if it is 22 units shorter than the permiter.

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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, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020