Answer: Choice D)
6 unit cubes and 18 smaller cubes of volume 1/27 cubic inches
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Explanation:
Block A = unit cube that has side length of 1 inch
Block B = cube that has side length 1/3 inch
Block B has a volume of (1/3)*(1/3)*(1/3) = 1/27 cubic inches
If we have 180 of block B, then
180*(1/27) = 180/27 = 6.6667 approximately
The first 6 before the decimal point tells us we have 6 block A's. This is the same as saying that we have 6 cubic inches so far.
The 0.6667 at the end means we have 0.6667*27 = 18.0009 = 18 block B's
So we have 6 unit cubes (block A) and 18 smaller cubes (block B) that have a volume of 1/27 cubic inches
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Another way to look at it
180/27 = (162+18)/27
180/27 = 162/27+18/27
180/27 = 6+18/27
180/27 = 6 remainder 18
The last line can also be found through using long division.
The 6 refers to 6 unit cubes and the remainder 18 is the left over 18 smaller blocks.
