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A rectangular prism with a volume of four cubic units is filled with cubes with side lengths of 1/3 unit.

how many 1/3 unit cubes does it take to fill the prism?

1 Answer

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Given:

Volume of rectangular prism = 4 cubic units

Side length of cube =
(1)/(3) unit

To find:

How many cubes fill in the prism.

Solution:

Volume of cube = side × side × side


$=(1)/(3) * (1)/(3) * (1)/(3)


$=(1)/(27)


$\text{Number of cubes}=\frac{\text{Volume of rectangular prism}}{\text{Volume of cube}}


$=(4)/((1)/(27) )

Apply the fraction:
(a)/((b)/(c))=(a \cdot c)/(b)


$=(4 \cdot 27)/(1)

Number of cubes = 108

Therefore 108 cubes fill in the prism.

User Cristian Toma
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