How do you find h, if the volume of a box V = 0.0144, l = 0.08, and w = 0.6?

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Answer 1 · 2017-04-16T19:46:15

#h=0.3#

See the explanation.

#V=lxxwxxh#

#h=v/(lxxw)#

#h=0.0144/(0.08xx0.6)=0.3#

Answer 2 · 2017-04-16T19:47:13

#h=0.3#

The formula for Volume is #l*w*h#

So, if we have #l,w,# and #V#, we can solve for our remaining variable, #h#!

We need to set #V=l*w*h# in terms of #h#; that means we need to isolate #h#.

#V=l*w*h#
divide by #l#
#V/l=w*h#
divide by #w#
#(V/l)/w=h#
which is the same thing as #V/l*1/w# or #V/(l*w)=h#

Now, let's replace the variable with our numbers:
#h=V/(l*w)#
#h=(0.0144)/(0.08*0.6)#
#h=(0.0144)/(0.048)#
#h=.3#

Just to double check our work, let's go back to our original formula
(#V=l*w*h#) and use #0.3# for #h# and solve for Volume.

#V=l*w*h#
#V=0.08*0.6*0.3#
#V=0.0144#

Our volume is correct, so our #h# must be right too! Good job!

Answer 3 · 2017-04-16T19:48:40

#h =0.3#

The formula for Volume is

#V = lxxbxxh#

Three of the four values are known. Change the formula so that
#h# is the subject, then substitute.

#h= V/(lxxw)#

#h = 0.0144/(0.08 xx0.6)#

#h =0.3#