umm at school we have to bulid a box that has to hold 100 liters. and i just cant work out how big the square box has to be.
Can some one please Help??????
2007-04-09 01:49:04 · 9 answers · asked by TL1983 2 in Science & Mathematics ➔ Mathematics
1lt=1dm^3
1dm^3=1000cm^3
100lt=1000cm^3 * 100 = 100000cm^3
Suitable measures for your box are:
50cm*50cm*40cm
Bye!
2007-04-09 02:09:01 · answer #1 · answered by Metal Gospel 2 · 0⤊ 0⤋
1 mL, or 0.001 L, is the same as a cubic centimeter. So 1 L is 1000 cm^3, and 100 L is 100,000 cm^3. This is not a cubic number, so you can't get 100 L with a whole number of cm as the side length measurement. But 100,000^(1/3) = 46.42 cm, the cube root of 100,000, so your cube needs to have a side of length 46.42 cm.
By the way, I assumed that "square box" means a cube. But if you just mean a box with a square base, you could have a base side length of 100 cm and a height of 10 cm. That would give you 100*100*10 = 100,000 cm^3. Many other combinations are possible if it's only the base of the box that must be square--infinitely many, in fact, but only a finite number with integer values.
2007-04-09 08:56:20 · answer #2 · answered by DavidK93 7 · 2⤊ 1⤋
A liter is a cubic decimeter. A decimeter is 10 centimeters. A 1 liter box would be 1000 cubic centimeters ( a cube that is 10 centimeters long, high and wide.)
100 liters is 100,000 cubic centimeters, 100 centimeters long x 100 centimeters wide x 10 centimeters high.
2007-04-09 09:04:26 · answer #3 · answered by FCabanski 5 · 0⤊ 0⤋
1 litre=1000 cubic cms= 10 cubic meters
hence for 100 lts you need a box of volume=1000 cubic meters.
therefore youll need dimensions of the box as 10*10*10.
thus take a square sheet of side=30m. fold into a box with base side being 10m.
2007-04-09 08:53:16 · answer #4 · answered by Paranoid Android 2 · 0⤊ 3⤋
1 lit = 1000 cm^3
so , 100 lit = 100000 cm^3
this is the required volume of the cube.
volume of cube = a^3
100000 = a^3
a = cube root of 100000
=46.4158834....
so , a cube that exactly contains 100 lits is very difficult to build.
so you can consider the dimensions 46.5 *46.5 *46.5 [ volume =100544.625 cm^3].
2007-04-09 09:11:10 · answer #5 · answered by priyadarshini u 2 · 0⤊ 0⤋
well if 100 is the volume, then find the dimensions that will give the volume of 100. Then measure it out and make the box.
2007-04-09 08:52:33 · answer #6 · answered by Love Pink 2 · 0⤊ 2⤋
Each side must be 46.41cm
its the 3rd root of100 because the volume of a cube is a^3
P.S a cubic meter has 1000 dm^3 (1dm^3=1litre)
so 100litres is 0.1 cubic meter
2007-04-09 08:55:47 · answer #7 · answered by Nick L 1 · 0⤊ 2⤋
1 dm^3 = 1 liters
so you have to build a 100 dm^3 box
2007-04-09 08:54:29 · answer #8 · answered by guru 3 · 0⤊ 2⤋
1 litre = 1000 mm^3
100 litres = 100,000 mm^3 = 100 cm^3
so you could have 5cm*5cm*4cm
if you want a cube, sides will be cuberoot(100) = 4.64 cm each
2007-04-09 08:58:04 · answer #9 · answered by hustolemyname 6 · 0⤊ 1⤋