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ectangular prism is made up of multiple layers with 9 cubes in each layer. Each cube measures 2/3 of an inch on each side. The volume of the rectangular prism is 10 2 /3 cubic inches. How many layers of cubes are in this prism? '

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asuwafohjames

The number of layers of cubes present in the rectangular prism of volume 102/3 in³ is 7.

What is  volume?

Volume is defined as the space occupied within the boundaries of any three-dimensional solid.

To calculate the number of layers of cubes in the prism, we use the formula below.

n = V/9l³............Equation 1

Where:

  • n = Number of layers in the prism
  • V = Volume of the rectangular prism
  • l = Length of each cube.

From the question,

Given:

  • V = 102/3 in³
  • l = 2/3 in³

Substitute these values into equation 1

  • n = 102/3/(9×2/3)
  • n = 102/3/(18/3)
  • n = 5.66
  • n ≈ 7

Hence, there are 7 layers in the rectangular prism.

Learn more about Volume here:  https://brainly.com/question/23935577

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