A square piece of cardboard is formed into a box by cutting 10-centimeter squares from each of the four corners and then folding up the sides, as shown in the figure. If the volume of the box is to be 49,000cm^3, what size square piece of cardboard is needed?
I did the first two but am not sure how to go about doing this one.
Lets call the length of the paper L (just for fun )
since we are cutting 10cm squares from each corner the length of base will be (we are cutting two corners from each side) so the volume will be
and we know that the volume is 49,000
so we need to solve the equation
taking the square root we get
Since we are talking about a length we will only use the positive solution so we get...
An 18-wheeler left a grain depot with a load of wheat and traveled 550 mi to deliver the wheat before returning to the depot. Because of the lighter load on the return trip, the average speed of the truck returning was 5 mph faster than its average speed going. Find the rate returning if the entire trip, not counting unloading time or rest stops, was 21 h.
I don't know why I'm so bad at these.
so we know that
we know that his rate was "r" on the way there and "r+5" on the return trip
and that the total travel time was 21 hours.
so the time there from the above equation is
and the time on the way back is
so if we add the above times they should equal the total time. so we get
P.S the answer should work out to be r =50.
Oh, sorry, I was just trying to save space rather than start a new thread every time I need help. We go through quite a bit in a day and the professor never seems to cover the more complicated stuff, she always does the problems that I already know how to do so I end up here and didn't want to clog up the boards.
Thankfully, others have complained about this, as well, and so she's said that she'll try to do harder examples so, hopefully, I won't have to ask for help as often.
And thank you for your patience, I can never seem to figure out what type of problem I should be setting up.