







The volume of a box with a hexagonal base 
20160327 

Frank pose la question : how many gallons of water in an 8" hexagon shaped box. 6" sides x 12.5" high ? The walls are 1" thick , beveled @ 30 degrees, so inside dimensions are 6" Penny Nom lui répond. 





A square based box and a cylinder 
20160326 

rajpal pose la question : i m trying to calculate an area required to hold 4.4 mln cubic metres of volume.
I used square and I get below result
A box shape that has dimensions 1500 meters (1.5km) by 1500 meters (1.5km) by 2 meters depth has a volume of:
= 4,500,000 cubic meters (4.5 mln cubic meters)
but when I use a cylinder shape, i get below result
A cylindrical shape that has a radius of 850 meters and a depth of 2 meters has a volume of:
= 4,539,600 cubic meters (4.54 mln cubic meters approx)
why is it that the cylinder, though of same depth holds more volume than a square?
kindly clarify. Penny Nom lui répond. 





Building an 8 sided box 
20141014 

Michael pose la question : I want to build an 8 sided box. The North, East, South, and West sides I want them to be 4 feet in length.
The NE, SE, SW, and NW sides I want to be 2 feet in length. What angles do I need to cut my angles.
Thanks Michael Penny Nom lui répond. 





A ball in a box 
20140209 

kenneth pose la question : I have 2 questions.What is the radius of the largest ball that will fit into a box that has the inside dimensions of 6feet by 8 feet by 10feet. and the second question is how many cubic feet of concrete will you need to complete a patio that is 20 feet long by 15 feet wide by 5 inches in hight. Penny Nom lui répond. 





A boxandwhisker plot with one whisker 
20140109 

Susan pose la question :
Question from Susan, a teacher:
I read your answer to the question about could a box & whisker have NO whiskers.
It made sense to me. However I am preparing for my advanced class and I have a sample graph comparing box plots of data.
Several of the box have only 1 whisker. There is no explanation for this. Can you help me out. I cannot think of a data set that would produce this. Thanks! Penny Nom lui répond. 





The popcorn box problem 
20131107 

Dave pose la question : We know that calculus can be used to maximise the volume of the tray created when cutting squares from 4corners of a sheet of card and then folding up.
What I want is to find the sizes of card that lead to integer solutions for the size of the cutout, the paper size must also be integer. EG 14,32 cutout 3 maximises volume as does 13,48 cutout 3.
I have done this in Excel but would like a general solution and one that does not involve multiples of the first occurence, as 16, 10 cutout 2 is a multiple of 8,5 cutout 1. Walter Whiteley lui répond. 





A balance puzzle 
20130114 

Emily pose la question : I'm stuck on this problem and feel that it can't work! The problem is: there is a door with a balance scale on it. In order to open the door, you have to use the 5 weights to balance the scale. On the left side you have 2 boxes to place the weights and on the right side you have 3. You're 5 weights are as follows: 1lbs, 2lbs, 3lbs, 4lbs, 5lbs. How do you place the weights so that the scale is balanced? Penny Nom lui répond. 





A sand box with 14 sides 
20120710 

Tom pose la question : Want to build a sand box for a pool that is fourteen foot round wanted to make it in fourteen pieces of wood what angle would each piece be and how long would each piece be Harley Weston lui répond. 





An octagonal sandbox around a pool 
20120612 

Linda pose la question : My pool is 15 feet across and it is round.
How do I measure to cut wood to build a sandbox around it? was thinking it will look like an octagon.
Thanks Harley Weston lui répond. 





A storage box with a slanted roof 
20120213 

Sophia pose la question : Hi!
I have another problem.
The diagram shows a side view of a box which is used to store small logs of
wood for burning in a fire place. The slopping lid has an overhand of 15cm.
a) Calculate the total length of the slopping lid to the nearest cm.
b) When the lid is open above ground will the end of the lid be?
P.S. Please see attached. Penny Nom lui répond. 





Litres in a box 
20120209 

vicky pose la question : how much litre water can be filled in a box of 12 inches *24 inches *12inches Penny Nom lui répond. 





The number of gallons in a box 
20111218 

matt pose la question : i need to know how many gallons a 16 inch square box will hold Penny Nom lui répond. 





A lock box 
20110803 

Tom pose la question : I need to open a lock box from my parent's estate. The combination is a simple 4 number lock. The last two numbers are 33. Numbers can be used more than once.What are the possible combinations?
WP Harley Weston lui répond. 





A cylinder fits perfectly in a box 
20110718 

Brix pose la question : A cylinder fits perfectly in a box. 76 cubic inches of oil is poured into the space between the cylinder and the box, filling the space halfway. If the box is 3ft wide, how tall is the cylinder in inches? Stephen La Rocque lui répond. 





A punchcode lock box 
20101129 

Doug pose la question : I am a real estate agent that uses punchcode lock boxes on houses to store the keys. I need to crack the code on one of our boxes, so I need a list of the possible combinations.
Rules:
4 digit code
Numbers 09
Each number can only be used once
Order of the numbers does not matter.
With advice from this site, I have calculated that there should be 210 possibilities.
10x9x8x7 (5040) gives me the total number possibilities and 4x3x2x1 (24) gives me the total number of ways to arrange those numbers.
So if I divide the possibilities by the arrangement, I get 210. (5040 / 24 = 210) GREAT!!!
Now, how do I develop a list of those 210 combinations?
Thanks for your help. Robert Dawson lui répond. 





A box full of oranges 
20101028 

Mary pose la question : A box full of oranges weighs 9 pounds. After a family ate 2/3 of the oranges, the remaining oranges and the box weighed 4 pounds. The weight of the box when empty is how many pounds? Penny Nom lui répond. 





A collection of baseball cards 
20100701 

Martha pose la question : Cody has a collection of baseball cards. Is it possible for him to
place the cards into 5 boxes so that exactly 3 of the boxes contain an
odd number of cards and the total number of cards in two of the boxes
is the same as the total number in the other 3 boxes? Explain. Robert Dawson, Penny Nom and Claude Tardif lui répond. 





What are the dimensions of the box? 
20100413 

Steven pose la question : The longest rod that will just fit inside a rectangular box,
if placed diagonally top to bottom, is 17 inches.
The box is 1 inch shorter and 3 inches longer than it is wide.
How much must you cut off the rod so that it will lie flat in the
bottom of the container? What are the dimensions of the box? Robert Dawson lui répond. 





A rectangular box packed with cylinders 
20100316 

Laura pose la question : There is a cylinder which has a diameter of 10cm and height of 10 cm. Work out the volume of the cylinder. Then in a packed box of 20 cylinders (height of box 10cm) work out the volume inside the box that is not filled by the cylinders give your answer in terms of pi. Penny Nom lui répond. 





What is the height of this box? 
20100219 

Carol pose la question : A rectangular box with a volume 0.75 cubic meters, Length 1.5 meters and width 0.4 meters. What is the height of this box. Tyler Wood lui répond. 





The volume of a box 
20090415 

Karen pose la question : Will 200 cubic centimeters of soil fit into the box?
8 CM by 6 CM and 4 CM deep Penny Nom lui répond. 





A rectangular open box 
20090321 

tina pose la question : An open box is to be made from a rectangular piece of tin by cutting two inches squares out of the corners and folding up the sides. The volume of the box will be 100 cubic inches. Find the dimensions of the rectangular piece of tin. Stephen La Rocque lui répond. 





What deminsions should my box be? 
20090219 

Mary pose la question : My item is 57cm x 36cm x 6cm and I want to put 20 items is 1 box. What deminsions should my box be? Stephen La Rocque lui répond. 





A circular plaque in a square box 
20081128 

kmart pose la question : A square box has a diagonal of length 640cm.It is to contain a circular wall plaque. What is the
approximate diameter of the largest wall plaque that can be placed in the box? Penny Nom lui répond. 





A cereal box that has a volume of 12000cm^3 
20081124 

William pose la question : Hi, I have this math question that says construct a ceral box that has a volume of 12000cm3 and the surface area of the box has to be between 3200cm2 and 400cm2, I found some dimensions that are 20 by 20 by 30 and it works, but when I attempt to make the box, or make a net I would need this hugh piece of paper/cardboard, which I don't have, is there an easier way to find different dimenshions so I dont need a hugh piece of paper to create a net easily? Because i've tried trial and error but it has taken to long and I cant find anything,else, thats resonable. Harley Weston lui répond. 





The volume of a box 
20080916 

Andre pose la question : volume of the box cubic centimeters
____ X _____ X ______ X =_______
The length is 8.5 Width is 3.4 Penny Nom lui répond. 





Volume of a Shed 
20080724 

lou pose la question : I need to know the interior volume in cubic feet of a shed with the dimensions 8' x 10' x 7' with a roof peak of 9'. Thanks Janice Cotcher lui répond. 





Constructing An Open Box 
20080723 

Rita pose la question : An open box with a square base is needed to have a volume of 10 cubic feet.
(a) Express the amount A of material used to make such a box
as a function of the length x of a side of the square base.
(b) How much material is needed for a base 1 foot by 1 foot? Janice Cotcher lui répond. 





Packing a truck 
20080610 

Ann pose la question : I am renting a 24ft box truck and have been told it is 1401 cubic feet. I want to know if I have 23 display cases to move and each is 6ft X 2ft X 3ft will the all fit? Or do I need additional info in order to figure this out? Penny Nom lui répond. 





An open box 
20080423 

Le pose la question : Metal Fabrication; If an open box is made from a tin sheet 8 in square by cutting out identical squares from each corner and bending up the resulting flaps, determine the dimensions of the largest box that can be made. Harley Weston lui répond. 





The volume of a cereal box 
20080303 

Lawson pose la question : I have calculated the volume of a box of cereal whose dimensions are:
Length  19 cm
Width  3 cm
Height  27 cm
I need help with the follow question:
If 2cm3 = 30 pieces of your cereal, how many pieces of cereal will fit in your box? What do I do the calculate? Penny Nom lui répond. 





Maximum volume of a box 
20080115 

Rajesh pose la question : A square piece of a cardboard of sides ten inches has four equal peices are removed at the corners, then the sides are turned up to form an open box. What is the maximum volume such a box can have? Stephen La Rocque lui répond. 





The surface area of the rectangular solid 
20071230 

Sara pose la question : For my math homework i found the volume of a rectangular solid whose deminsions were in feet and the numbers were 10 by 20 by 30
10 = hight
20 = short side base
30 = long side base
and now i have to find the surface area of the rectangular solid....
i know how to do this but i can't get the right answer
it should be 2,200 ft squared but i keep getting 13,00 feet squared Penny Nom lui répond. 





The dimensions of a box 
20071130 

nephi pose la question : if i wanted to make a box that was 0.35 ~ 0.7 Cubic Feet on the inside how would i go about making the measurements for the outside? Penny Nom lui répond. 





Nine dots 
20070925 

al pose la question : Connect the dots.
There is nine dots, three across and three down.
Connect the nine dot with the pencil only using four line and never lifting the pencil off of the paper. Stephen La Rocque and Harley Weston lui répond. 





Making a box with a particular volume 
20070620 

Kimberly pose la question : How do you convert 487 cf into box? Stephen La Rocque lui répond. 





A boxandwhisker plot with no whiskers 
20070418 

Paula pose la question : Is it possible for a boxandwhisker plot to have no whiskers? 3 whiskers? Penny Nom lui répond. 





An octagonal box 
20070331 

eddie pose la question : I need to make one wood box in octagon type, that has 1125.00 square feet.
I want to know how many feet in one side Penny Nom lui répond. 





The volume of a triangular box 
20060912 

Irene pose la question : How do I find the volume of a triangular box? Penny Nom lui répond. 





A 52 cubic foot box 
20060614 

Konstanze pose la question : I need to figure out what LXHXW I need to create a 1.5 cubic meter or 52 cubic foot volumethere is an answer in your database that relates to this..but it does not give the formula to go from cubic feet/inches to a measurement for a box.
Empirically I can figure out that 3 x 3 x 3 equals 27 and that 3.5 feet (42") x 3.5 x 3.5 equals 42.87 and 3.75 x 3.75 x 3.75 equals 52.73 which is about 1.5 cubic meters (1cubic meter = 52.971643 cubic feet) i.e a box 45 x 45x 45 "
There must be an easier way. Penny Nom lui répond. 





A box with an interior of 1.26 cu. feet 
20060519 

Maria pose la question : I am trying to build a box with an interior of 1.26 cu. feet with all sides equal. Stephen La Rocque and Penny Nom lui répond. 





A box with volume 0.78 cu ft 
20060510 

Sherrina pose la question : i need to build a box that equals .78 cu ft any ideas on how i do this Penny Nom lui répond. 





Quarts, liters cubic yards and soil 
20060319 

Kathy pose la question : I am trying to find out how many quarts of dirt there are in a yard of dirt. The local flower store sells bags of dirt that are 20 quarts or 22 liters for $1.25 and another store sells a yard of dirt for $25.00. Which is the better deal? Penny Nom lui répond. 





The dimensions of a box 
20060223 

Ben pose la question : I need to find the dimensions of a rectangular box. They ask for the areas of the top, side and end. If those areas are 120 square units, 96 square units, and 80 square units respectively, what are the dimensions of the box? Stephen La Rocque lui répond. 





Stemandleaf plots, boxandwhisker plots and medians 
20060221 

A student pose la question : explain which plot would be easiest to use to find the median....boxandwhiskers plot or stemandleaf plot Penny Nom lui répond. 





Outliers in a box and whisker plot 
20060219 

A student pose la question : i need help on determining if their is an outlier...i know how to find the median and the lower quartile and the upper quartile..but i don't understand about the outliers....please tell me if their is an outlier in this problem....the numbers are...63,88,89,89,95,98,99,99,100,100 Penny Nom lui répond. 





A two cubic foot box 
20051027 

Michael pose la question : I need to make a box that measures two cubic feet. It will be used to items in to determine if an inmate has to much property. They can only possess 2 cubic feet of property. How can I convert that into measurements in inches for feet so I can make a box with a lid that is 2 cubic foot. I sure hope you can help me Penny Nom lui répond. 





Cubic yards is in a box trailer 
20050920 

barbara pose la question : i need to know how many cubic yards is in a box trailer that is 96" wide 13' 6" high and 40" long Penny Nom lui répond. 





Volume of a box 
20041118 

Catherine pose la question : I need to find a formula to calculate the amount of liquid would hold. maybe the volume or something. its a square box used to hold liquid on a farm . we want to measure how much liquid it can hold. Penny Nom lui répond. 





A travelling salesman 
20040909 

Liz pose la question : A salesman traveled due west from city A to city B. The distance he traveled, that is the ditance from A to B, was X miles. He returned from B to A and found that he had traveled half the distance, X/2 miles. How can that be? Chris Fisher and Penny Nom lui répond. 





What is the name of a 3D rectangle? 
20040607 

Jack pose la question : if a cube is a 3D square, what is the name of a 3D rectangle? Penny Nom lui répond. 





Volume of a box 
20040523 

A student pose la question : The area of the top of a closed rectangular box is 252cm2, the area of the front of the box is 105cm2, and the surface of the box is 834in2 (or 5380.64cm2). What is the volume of the box? Penny Nom lui répond. 





The combinatiion for a keybox 
20040517 

Darrin pose la question : I have a puzzle question based on reality. I have a realestate type keybox (Supra) that has 10 digits, 09. I am trying to figure out a methodical way to test all number combinations to it to open it. (totally legal it was taken from the trash at a jobsite since they couldn't open it!) The combination could be any or all of the digits, but any digit is only used once. This is not like a simplex lock problem where a combination of keypresses would be different i.e. 1,2,3 is the same as 1+2,3.
Any ideas? Penny Nom lui répond. 





Four marbles on a box 
20040322 

Karyn pose la question : Suppose 2 solid color marbles and 2 striped marbles are placed in a box. All are the same size. If one marble is randomly drawn from the box and replaced, then a second marble is randomly drawn, what is the probability that the marble drawn both times will be striped?
I know there is a simple formula for working this out but I can't remember how.
Penny Nom lui répond. 





Distributing r identical balls into n distinct boxes 
20030316 

Diana pose la question : How many ways to distribute r identical balls into n distinct boxes with exactly m boxes empty? Penny Nom lui répond. 





The dimensions of a box 
20021203 

Paula pose la question : My son, who is in secondary school, needs to make a box with the inside dimensions of 1.25 cubic feet. It's supposed to be more in the shape of a rectangle than a square. I would like to know the equation to use to find the inside dimensions of a box if I know how many cubic feet (or inches) I need the inside to be. Penny Nom lui répond. 





A box that holds 22.4 liters 
20020707 

Jon pose la question : How do I find the measurements required to make a box that holds 22.4 liters of something? Penny Nom lui répond. 





Box and Whisker plots 
20011119 

Rod pose la question : In our Prealgebra course, we have been studying Box and Whisker plots. Recently, we learned how to decide whether a data point is an outlier or not. The book (Math Thematics, McDougall Littell) gave a process by which we find the interquartile range, then multiply by 1.5. We add this number to the upper quartile, and any points above this are considered to be outliers. We also subtract the number from the lower quartile for the same effect. My question: where does this 1.5 originate? Is this the standard for locating outliers, or can we choose any number (that seems reasonable, like 2 or 1.8 for example) to multiply with the Interquartile range? If it is a standard, were outliers simply defined via this process, or did statisticians use empirical evidence to suggest that 1.5 is somehow optimal for deciding whether data points are valid or not? Penny Nom lui répond. 





A box of pants and shirts 
20011117 

Debbie pose la question : I need to determine the volume of a box that is 4'HX4'WX4'L. The box contains uniform pants and uniform shirts. I need to know how many shirts and pants are in the box. When folded, the uniform shirt is .5 inches thick. The pants are also .5 inches thick. Penny Nom lui répond. 





A box with an interior of 1.25 cubic feet 
20010326 

Gabe pose la question : I need a box with an interior of 1.25 cubic feet. I am using 3/4 inch material to make the box. What would the exterior dimensions be in inches? Harley Weston lui répond. 





The repetend in repeating decimals 
20010321 

Sharon pose la question : What is the name for the bar over the repetend in repeating decimals? Also, what is the name of the long division "house"? Penny Nom lui répond. 





The "goesinta" box 
20010207 

Bridget pose la question : We are looking for the "proper" name of the "box" that is drawn around the dividend on a division problem: ___ 3)12 It has always been a family joke to call it the "goesinta" box, but a search of several reference sources hasn't yielded an answer  This is a question of curiosity rather than a question for homework. Claude Tardif lui répond. 





Volume of a box 
20001115 

A student pose la question : A box 3" wide and 2" deep is to have a volume of 2 cubic feet. How long must the box be? How many pieces of lumber are stacked in a pile 2" high if each board is 3/8" thick? Penny Nom lui répond. 





Box and whisker plots 
20000309 

Brett Blake pose la question : Do you have any information on Box and whisker graphs? Harley Weston lui répond. 





Three dimensional rectangle 
20000111 

Dennis Murphy pose la question : I would like to find out the name of a Three dimensional rectangle. Harley Weston lui répond. 





Probability 
19980917 

Chris pose la question : Six marbles are placed in one of three boxes. What is the probability that each box contains two marbles? What is the formula used? Penny Nom and Chris Fisher lui répond. 

