A prism is completely filled with 72 cubes that have edge lengths of 1/2 in.
What is the volume of the prism?
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in

Respuesta :

The volume of the prism that is completely filled with 72 cubes that have edge lengths of 1/2 in. is 9 in³.

What is a prism?

A prism is a 3-dimensional shape, with two identical shapes facing each other.

To calculate the volume of the prism, we use the formula below.

Formula:

  • The volume of the prism (V) = 72×volume of one cube
  • V = 72L³............. Equation 1

Where:

  • V = Volume of the prism
  • L = Length of the cube

From the question,

Given:

  • L = 1/2 in

Substitute these values into equation 1

  • V = 72(1/2)³
  • V = 72(1/8)
  • V = 9 in³

Hence, the volume of the prism is 9 in³.

Learn more about prisms here: https://brainly.com/question/23741714