the length of each side of a cube can be represented by the monomial 5 x( x is suared meaning x with a little 2).y cubed (meaning y is y to the 3rd power).write an expression for the volume of cube
2007-01-15 15:24:21 · 4 answers · asked by amaneetj 2 in Education & Reference ➔ Homework Help
volume of any square cube is equal to the side cubed(raised to the third power
note on notation: you can use a carat(sp) symbol to designate powers. for example s^3 means s cubed. this symbol is on the number 6 key of your keyboard.
now then your side is 5*x^2*y^3 there are two ways of doing this I will show you the easy way
V=s^3
V=(5*x^2*y^3)^3
now distribute the power, remember when you raise a power to a power you multiply the exponents together
V=5^3*x^(2*3)*y^(3*3)
V=125*x^6*y^9
Hoped this helped
2007-01-15 15:38:36 · answer #1 · answered by ultrasonicsfreak 2 · 0⤊ 0⤋
For the side of the cube, you mean 5 * x^2 * y^3 (^ is "raising to the power", * is multiplication, to not confuse with x). The volume of a cube is the cube of the length of one side, so
volume = (5 * x^2 * y^3)^3 = 5^3 * x^(2*3) * y^(3*3) = 125 * x^6 * y^9
2007-01-18 04:44:52 · answer #2 · answered by jcastro 6 · 0⤊ 0⤋
You should probably ask your teacher. I mean i kinda get what it is saying, but then again i dont know if I am accurate. So it's just better to tell your teacher for help ^o^.
2007-01-15 15:31:41 · answer #3 · answered by Punkey monkey 2 · 0⤊ 0⤋
(5y) cube
2007-01-15 15:56:16 · answer #4 · answered by hymy 3 · 0⤊ 0⤋