I am looking for the dimensions of a square box with a volume of 48 cubic inches and a surface area of 112 square inches.
2007-12-09 02:48:34 · 11 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
In addition to volume = (length)*(width)*(height) you will need
Surface area =
2*(length)*(width) + 2*(length)*(height) + 2*(width)*(height)
If all the sides are squares this simplifies to volume = side^3
and Surface area = 6*side^2
But I think in your case only the base is square:
volume = (length)^2*(height)
Surface area = 2*(length)^2 + 4*(length)*(height)
2007-12-09 02:54:38 · answer #1 · answered by ben e 7 · 0⤊ 0⤋
This Site Might Help You.
RE:
What formula do I use to find the dimesions of a square box.?
I am looking for the dimensions of a square box with a volume of 48 cubic inches and a surface area of 112 square inches.
2015-08-08 15:52:57 · answer #2 · answered by Anonymous · 0⤊ 0⤋
First stop and think. A square is going to have all sides that are equal. Now think of the equations that volume and surface area take into account. Volume is calculated by length x width x height. You should be able to calculate the dimensions using the 48 cubic inches. In other words what times itself three times equals 48? This will not be a whole a number. If you use the way I stated write out the equation as X^3=48.
I am unsure what level of math class you are in. The way I described above uses powers. There is more than likely a different way to solve.
2007-12-09 03:13:01 · answer #3 · answered by carrie p 3 · 1⤊ 0⤋
Volume Of A Box Formula
2016-10-03 23:29:32 · answer #4 · answered by ? 4 · 0⤊ 0⤋
Well, if the total surface area is 112 square inches, then each surface must be 18 2/3 square inches right? So square root it and...ehh nevermind. I'm in advanced math but only 7th grade lol. Don't trust me. Sorry I wasn't of much help.
2007-12-09 02:53:50 · answer #5 · answered by nickorama777 1 · 0⤊ 1⤋
square box has all sides the same. is this an open box?
v = x*x*x = x^3 = 48
if open box the surface area
base *5 = 5x^3 = 112
you solve
2007-12-09 02:56:10 · answer #6 · answered by a c 7 · 0⤊ 0⤋
They just put them in. It's not difficult. If you mean why is a pizza round but a box is square it is because it is cheaper to make a square box than a round one and quicker and easier to make a round pizza than a square one.
2016-03-19 11:24:06 · answer #7 · answered by Anonymous · 0⤊ 0⤋
Square sides x inches. Other sides y inches. Volume x^2 y. Area 2x^2 +4xy. Now solve.
Now you know HOW to do it, you expect someone to do it for you? Actually there isn't enough information to find an answer.
2007-12-09 02:52:38 · answer #8 · answered by za 7 · 0⤊ 1⤋
Length, width and depth = volume , reverse the process to find dimensions.
2007-12-09 02:59:39 · answer #9 · answered by billy 6 · 0⤊ 0⤋
lentgh X width x height
2007-12-09 02:51:32 · answer #10 · answered by Sooner Dave 2 · 0⤊ 0⤋