SOLUTION: 1) A rectangular storage unit has dimensions of : 1m , 2m, 3m. If each linear dimension is increased by the same amount. a) What increase would result in a new storage unit with a
Algebra ->
Customizable Word Problem Solvers
-> Geometry
-> SOLUTION: 1) A rectangular storage unit has dimensions of : 1m , 2m, 3m. If each linear dimension is increased by the same amount. a) What increase would result in a new storage unit with a
Log On
Question 387054: 1) A rectangular storage unit has dimensions of : 1m , 2m, 3m. If each linear dimension is increased by the same amount. a) What increase would result in a new storage unit with a volume of 10 times the orginal? b) How many possible solutions are there to this problem? c) Sketch the graph of the information presented in this problem. Show how the zeros of the function relate to the answer. Answer by solver91311(24713) (Show Source):
The original volume is 1 times 2 times 3 = 6 cubic meters. We want to increase the size to 60 cubic meters, so:
Multiply it out:
Look at the graph:
A real zero of the function is the exact increase amount to multiply the volume 10 fold.
You can see from the graph that there is only one real zero. Getting the value requires using the general solution to the cubic equation. Look it up if you are interested, but it is way to much tedium for me. You can solve it with a number of readily available online solvers.
John
My calculator said it, I believe it, that settles it
