SOLUTION: In the formula V = lvh, find l when 2=4 inch., h = 6 inch., and V = 144 cu. in.

Question 116565: In the formula V = lvh, find l when 2=4 inch., h = 6 inch., and V = 144 cu. in.
Found 2 solutions by MathLover1, bucky:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
given:

find

..........cancel ...because we have

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
I think you have a couple of errors in you problem. From the looks of it, this problem involves
finding the volume of a box ... and the equation is telling you that the volume (V) is to be
found by multiplying the length (L) times the width (w) times the height (h). Therefore,
the equation you were given should have been:
.
V = L*w*h
.
You are to find L ... given that w = 4 in, h = 6 in, and V = 144 cu in.
.
Substitute these values into the appropriate place in the equation and you have:
.
144 = L*4*6
.
Multiply out the two numbers on the right side and you have:
.
144 = L*24
.
Divide both sides of this equation by 24, the multiplier of the L. When you do you get:
.
144/24 = L*(24/24)
.
On the right side the 24 in the numerator cancels the 24 in the denominator and you are
left with just the L.
.
And on the left side the 24 goes into the 144 six times. So you are left with the answer:
.
6 = L
.
and the units you are working with are inches ... so the answer to this problem is:
.
L = 6 inches
.
Hope this helps you to understand the problem a little better. Note above that I used "L"
for length instead of lower case "l" because the lower case looks like the number one.
It just helps to avoid the possibility of making a mistake by confusing it with one.
.
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