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A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 212cm.

The prism is filled with cubes that have edge lengths of 12 cm.



How many cubes are needed to fill the rectangular prism?

Enter your answer in the box.

To fill the rectangular prism,
_______ cubes are needed.

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Respuesta :

first solve the volume of the rectangular prism

V = l x w x h

where l is the length

w is the width

h is the height

V = 7 x 4 x 2.5

v = 70 cu cm

then solve the volume of the box

v = e^3

v = 0.5^3

v = 0.125

number of cubes = 70 / 0.125

number of cubes = 560 cubes

Answer:

560 cubes

Step-by-step explanation:

Volume of prism :

  • Volume = length x width x height
  • Volume = 7 x 4 x 2.5
  • Volume = 7 x 10
  • Volume = 70 cmΒ³

Volume of cube :

  • Volume = (Edge length)Β³
  • Volume = (0.5)Β³
  • Volume = 0.125 cmΒ³

Number of cubes :

  • Volume of prism / Volume of cube
  • 70 / 0.125
  • 70 x 8
  • 560 cubes

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