SOLUTION: I really really need help on this problem because it is on a homework that is due tomorrow. Thanks to anyone who helps! "The volume of a rectangular prism can be found using th

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Question 712833: I really really need help on this problem because it is on a homework that is due tomorrow. Thanks to anyone who helps!
"The volume of a rectangular prism can be found using the formula v=lwh. If a rectangular prism has a volume of 48a^9b^2, a length of 4a^2b2 and a width of 4a^5, what is its height?"
Found 2 solutions by josgarithmetic, ankor@dixie-net.com:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Just follow the formula. Solve for h if that is the variable for your height. Substitute the other expressions for length and width. Whether you solve for h early or late is your choice:
v=xwh,
v%2F%28xw%29=h
h=v%2F%28xw%29

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
"The volume of a rectangular prism can be found using the formula v=lwh.
If a rectangular prism has a volume of 48a^9b^2, a length of 4a^2b2 and a width of 4a^5, what is its height?"
:
We can write this situation:
length * width * height = volume
so we have
4a^2b^2 * 4a^5 * h = 48a^9b^2
:
multiply length and width, 4 * 4 and by adding exponents of like terms:
16a^7b^2 * h = 48a^9b^2
:
Divide both sides by 16a^7b^2, you have
h = %2848a%5E9b%5E2%29%2F%2816a%5E7b%5E2%29
:
divide by canceling 16 into 48 and subtracting exponents of like terms
h = 3a%5E%28%289-7%29%29b%5E%28%282-2%29%29
h = 3a%5E2b%5E0
:
any number with an exponent of 0 is 1, so we have
h = 3a%5E2 is the height
:
:
Do you understand what we did here? C