V=s^3, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm^3.
2007-01-13 15:34:58 · 16 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
V = s^3 is the formula for the volume of a cube. Now you have V = 1000 cm^3, so you need the cube root of 1000. Fortunately in this case it is easy: 10. (1000/10 = 100/10 = 10/10 = 1; or 10 * 10 * 10 = 1000), so s= 10 cm. Please note many of these Algebra problems are NOT hard. They may challenge you to think, but that's all. The idea is to move you along at a steady pace, so most of the time the problems will look like the above one, where the trick is to recognize that 1000 is 100 * 10, then 100 = 10 * 10. 10 should therefore be the obvious first choice of numbers to use to divide 1000 and begin looking for the cube root. Remember your lesson for the day and look to apply it. Stay calm, no one is expecting Einstein, just us average John Does, so the teachers aren't trying to squash us even if we think so at times. I know, my father was my math teacher for Alg I, Alg II, Geo, then became my principal and then my superintendent of schools. And always my varsity basketball coach. I got to know my teachers personally, and got to know how textbooks were written. Dry info, but useful to a point. Just hold these thoughts in your head, "one step at a time, keep it simple, I can do this, write down what you know in the problem, then what you don't know; finally, ask yourself what you are looking for in the problem (it should be the same as what you don't know); write down the equation(s), plug in what you know, solve for the remaining unknown(s). Practice. It does make perfect."
2007-01-13 16:08:39 · answer #1 · answered by flyfisher_20750 3 · 0⤊ 0⤋
V=s^3, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm^3.
Since v=s^3 then s = cuberoot of 1000
so s = 10 cm
2007-01-13 15:40:28 · answer #2 · answered by ironduke8159 7 · 1⤊ 0⤋
V = s^3 = 1000
s = (1000)^(1/3) = 10 cm
2007-01-13 16:57:01 · answer #3 · answered by Anonymous · 0⤊ 0⤋
If V = 1000, you need to take the cubed root of 1000 to find the length of one side.
2007-01-13 15:37:32 · answer #4 · answered by ChemGirl 2 · 1⤊ 0⤋
V=s^3=1000 cm^3
s=1000^(1/3)=10cm
2007-01-13 20:58:19 · answer #5 · answered by yupchagee 7 · 0⤊ 0⤋
Unless there is a "trick", the answer is the cube-root of 1000. ie. the side of a cube is 10 cm.
2007-01-13 15:56:07 · answer #6 · answered by ben2938 1 · 0⤊ 0⤋
1000 = s^3
find the cube root of each side
(1000)^(1/3) = (s^3)^(1/3)
10 = s
Each side is 10 cm.
2007-01-13 15:38:06 · answer #7 · answered by smawtadanyew 2 · 1⤊ 0⤋
When V=s^3 and V=1000cm^3, then
1000cm^3=s^3; take the cube root of both sides
10 cm= s
2007-01-13 15:56:02 · answer #8 · answered by Nurdzrock 1 · 0⤊ 0⤋
What times itself 3 times equals 1000?
Three zeros in 1000.....10x10x10=1000
10 cm
2007-01-13 15:39:44 · answer #9 · answered by Elizabeth 3 · 1⤊ 0⤋
you just have to find the cube roots of 1000, then you will have the answer for lenght of a side.
2007-01-13 15:39:35 · answer #10 · answered by Anonymous · 1⤊ 0⤋