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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?
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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?

User Anabel
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2 Answers

2 votes

Answer:

6 2/3

Explanation:

User Zombio
by
8.3k points
7 votes
Given the cube has a length of 1/3 in. The volume of the cube was:
V=length*width*height
v=1/3*1/3*1/3
V=(1/3)^3
V=1/27 in^3
thus the volume of the prism will be given by:
volume=[volume of cube]*[number of cubes]
volume=1/27*180=6 2/3 in^3
User Anderson Carniel
by
8.0k points
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