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A rectangular prism is completely packed with 63 cubes of edge length fraction 1 over 3 inch, without any gap or overlap. Which of this best describes the volume of this rectangular prism? brainly best answer

a 2-unit cubes and 2 smaller cubes of volume fraction 1 over 27 cubic inch each

b 2-unit cubes and 9 smaller cubes of volume fraction 1 over 27 cubic inch each

c 4-unit cubes and 2 smaller cubes of volume fraction 1 over 27 cubic inch each

d 4-unit cubes and 3 smaller cubes of volume fraction 1 over 27 cubic inch each

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mhanifa

Answer:

  • b) 2-unit cubes and 9 smaller cubes of volume fraction 1 over 27 cubic inch each

Step-by-step explanation:

Each small cube has volume:

  • (1/3)³ = 1/27

There are 63 small cubes, the total volume is:

  • 63*1/27 =
  • 2 9/27 =
  • 2 and 9 * 1/27 =
  • 2 unit cubes and 9 small 1/27 cubes

Correct choice is B