A rectangular prism is completely packed with 180 cubes of edge length fraction 1 over 3 inch, without any gap or overlap. Which of the following describes the volume of this rectangular prism?

A - 19 unit cubes and 9 smaller cubes of volume fraction 1 over 27 cubic inch each

B - 19 unit cubes and 27 smaller cubes of volume fraction 1 over 27 cubic inch each

C - 6 unit cubes and 6 smaller cubes of volume fraction 1 over 27 cubic inch each

D - 6 unit cubes and 18 smaller cubes of volume fraction 1 over 27 cubic inch each

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Judith Pineda · Answer 1

d is the one edge is x volume is x*3 (1/3) * 3=1/27