A right rectangular prism is packed with cubes of side length Fraction 1 over 6 inch. If the prism is packed with 12 cubes along the length, 3 cubes along the width, and 2 cubes along the height, what is the volume of the prism?
I'm doing a test on this and i'm stuck
So now i'm bored
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yoooooooooooooooo im answering this in 2021
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so each cube is 1/6 inch ??
Then the box (prism) has
length 12(1/6) = 2 inches
width 12(1/6) = 1/2 inch
height 1/3 inch
volume = 2(1/2)((1/3) inches^3
= 1/3 cubic inches
or
number of cubes = 12(3)(2) = 72 cubes
each cube = (1/6)^3 cubic inches = 1/216 cubic inches
so if 1 cube has 1/216 in^3
then 72 cubes will hae (1/216)(72) = 1/3 cubic inches
either way, the prism has a volume of 1/3 cubic inches