matthewlong matthewlong
  • 09-03-2020
  • Mathematics
contestada

how many 1/2 unit cubes can fit in a a prism with a volume of 6 cubic units

Respuesta :

calculista
calculista calculista
  • 16-03-2020

Answer:

48 cubes

Step-by-step explanation:

step 1

Find the volume of one 1/2 unit cube

The volume of the cube is given by

[tex]V=b^3[/tex]

where

b is the length side of the cube

we have

[tex]b=\frac{1}{2}\ units[/tex]

substitute

[tex]V=(\frac{1}{2})^3[/tex]

[tex]V=\frac{1}{8}\ units^3[/tex]

step 2

Divide the volume of the prism by the volume of one cube

[tex]6:\frac{1}{8}=6(8)=48\ cubes[/tex]

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