A right rectangular prism has a volume of 120 in3. what is the new volume if the length, width, and height are doubled?

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Answer 1 · 2018-05-22T15:06:17

960 in³

The volume V of a rectuangular prism with length = l, width = w and height =h is given by the formula
#V=l*w*h#

If each side is doubled, you get the new volume equal to
#V_1=2l*2w*2h=8l*w*h=8V#
Therefore #V_1= 8V=8*120# in³ #=960# in³

Answer 2 · 2018-05-22T15:07:54

#color(blue)(960 " in"^3#

If we increase linear dimensions by a scale factor a, then the volume will be increased by a scale factor #a^3#

So doubling implies scale factor of 2.

Volumes increases by #2^3=8#

New volume:

#8*120=960# #"in"^3#