The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm3.
2007-01-16 13:50:02 · 4 answers · asked by laindia187 1 in Science & Mathematics ➔ Mathematics
v = s^3
1000 = s^3
(1000)^(1/3) = (s^3)^(1/3)
10 = s
so, 10 cm
2007-01-16 13:55:01 · answer #1 · answered by Taras 2 · 0⤊ 0⤋
If the volume is 1000 cm^3, then the formula is:
1000 = s^3
You need to find the number "s" so that s^3 = 1000.
Take the cube root of each side:
(1000)^(1/3) = (s^3)^(1/3) = s^(3/3) = s^(1) = s
If your calculator does not have the x^y function, then you will need another way to figure cube roots.
2007-01-16 21:57:29 · answer #2 · answered by morningfoxnorth 6 · 0⤊ 0⤋
s = the cube root of V.
In other words, what value of s*s*s = 1000?
This particular case is easy, since you can determine from inspection that 10 * 10 = 100 and then 10 * 100 = 1000. So s = 10 cm.
2007-01-16 21:55:45 · answer #3 · answered by Stan G 1 · 0⤊ 0⤋
V= S^3 =1000
V= cuberoot(1000) = 10 cm
2007-01-16 21:54:16 · answer #4 · answered by ironduke8159 7 · 0⤊ 0⤋