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
2007-01-20 03:26:37 · 5 answers · asked by Lana G 1 in Science & Mathematics ➔ Mathematics
10.
V = s³
1,000 = s³
³√1,000 = s
10 = s
2007-01-20 03:30:47 · answer #1 · answered by Jim Burnell 6 · 1⤊ 2⤋
V = s^3 = 1000
So s is the number which when cubed gives 1000.
Notice that 10*10*10 = 100*10 = 1000. So s = 10.
2007-01-20 03:31:25 · answer #2 · answered by JasonM 7 · 1⤊ 1⤋
V = s^3 means V = s * s * s. Volume equals side times side times side. You have 1000 cm^3 = s * s * s. There's only one number that multiplies by itself three times to make 1000: 10! So, the length of a side is 10 cm. In algebra terms:
V = s^3
1000 cm^3 = s^3
cube root of (1000 cm^3) = s
10 cm = s
Don't forget to include cm (the label "centimeters") in your answer!
Sorry you hate Algebra so much. Good luck!
2007-01-20 03:35:27 · answer #3 · answered by Timothy H 4 · 0⤊ 1⤋
V= s^3
1000 = s^3
Take cube root of both sides getting:
10 = s
Or you could have said:
1000 = 10^3 = s^3
So s = 10 since exponents are equal.
2007-01-20 03:35:58 · answer #4 · answered by ironduke8159 7 · 0⤊ 1⤋
college algebra?
cube root of 1000 is 10
2007-01-20 03:33:02 · answer #5 · answered by kingsmansoysauce 2 · 0⤊ 1⤋