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  • 02-05-2019
  • Mathematics
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How many cubes with sides length of 1/2 cm does it take to fill the prism

How many cubes with sides length of 12 cm does it take to fill the prism class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 11-05-2019

Answer:

40 cubes

Step-by-step explanation:

We need to determine the volume of the cuboid.

[tex]Volume=lbh[/tex]

We substitute the given dimensions l=2.5cm,w=2cm and h=1cm.

[tex]Volume=2.5\times2\times1cm^3[/tex]

[tex]Volume=5cm^3[/tex]

The volume of the cube is [tex]Volume =(\frac{1}{2})^3=\frac{1}{8} cm^3[/tex]

We need to divide the volume of the cuboid by the volume of the cube to get the number of cubes that can fill it;

[tex]\frac{5}{\frac{1}{8} }=8\times 5=40[/tex]

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