If I have a box with 64 cubic feet of space, how do I figure out how many of certain type of object fit inside this space? For instance how many surfboards that are 6’8” Long X 19 1/4” Wide X 2 1/2” deep would fit? Or how many soccer balls at 27” round would fit?
2006-06-13 05:10:17 · 8 answers · asked by Shelby 1 in Science & Mathematics ➔ Mathematics
64ft^3 = 110592 inch^3
6'8" = 80 inch
19 1/4" = 19.25 inch
2 1/2" = 2.5 inch
(110592/(80 * 19.25 * 2.5))
(110592/3850)
about 28.725
Without having a fraction of a surfboard
You can fit 28 surfboards in that much space.
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27" round soccer ball, which makes up the circumference
C = Pi * d
27 = Pi * d
d = (27/pi)
V = (Pi/6)d^3
V = (pi/6)(27/pi)^3
V = (27^3 * pi)/(6pi^3)
V = (19683pi)/(6pi * pi * pi)
V = (6561)/(2pi^2)
V = 332.38414
To keep from half a fraction of a soccer ball
You can fit 332 soccer balls in that area.
2006-06-13 10:51:45 · answer #1 · answered by Sherman81 6 · 0⤊ 0⤋
find the volume of each object and divide 64cubic feet with that. for eg. each soccer ball is 27" round. assuming by 27" u mean the circumference of the ball is 27" then 2*pie*radius=27
find the radius. it will be 4.3". the volume of a sphere is (4/3)*pie*(radius^3). so the volume will be 333 cubic inches for each soccer ball. the volume of the box is 64*(12^3) in cubic inches as 12inches make one feet. so the volume of the box in cubic inches is 110592. divide this by 333 and u get 332. so you can fit 332 soccer balls in the box.
2006-06-13 12:21:21 · answer #2 · answered by Aditya 2 · 0⤊ 0⤋
that would depend on the dimesions of your box. 64 cu. ft. doesn't give you a dimension in any of the three axis, only a volume. If you box is only 1" deep, then none of the surfboards would fit.
2006-06-13 12:16:23 · answer #3 · answered by edwardda 1 · 0⤊ 0⤋
The boxes volume is 64, so whatever else you want to put into it, you need to find its volume as well (length times height times width, or base times height divided by 2) and divide that by 64
2006-06-13 12:14:50 · answer #4 · answered by lover. 1 · 0⤊ 0⤋
Calculate the volume of the objects as a cube to the nearest size and then divide this into the volume available.
2006-06-13 12:13:23 · answer #5 · answered by huge001 3 · 0⤊ 0⤋
calculate volume of each thing you wish to fit.
the volume of the box divide by volume of the thing that goes inside it = the number that fits
volume of surboards = lX b X h
voulme of balls = 4/3 pi r^3
2006-06-13 12:15:19 · answer #6 · answered by Vishal 1 · 0⤊ 0⤋
figure out the aproximate cubic feet the object takes up and dived that into 64
2006-06-13 12:13:20 · answer #7 · answered by mi_gl_an 4 · 0⤊ 0⤋
I think u should Calculate.
2006-06-13 12:13:37 · answer #8 · answered by 3's 2 · 0⤊ 0⤋