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A rectangle prism with a higher of 1.8 inches and a length of 4.2 inches has a volume of 26.46 cubic inches. What is the width of the prism?

Respuesta :

sqdancefan

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Answer:

  3.5 inches

Step-by-step explanation:

The volume is given by the formula ...

  V = LWH

Filling in the given values, we can solve for the remaining dimension.

  26.46 in³ = (4.2 in)(W)(1.8 in)

  W = 26.46 in²/(7.56 in²) = 3.5 in

The width of the prism is 3.5 inches.

PenelopePitstop

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Answer:

  • [tex]\tt{3.5}[/tex]

Explanation:

How to get the width?

Multiply height and length of a rectangle then devide to the volume of rectangular prism.

Formula:

  • [tex]\tt{W = H × L ÷ V}[/tex]

Solution:

  • [tex]\tt{4.2 × 1.8 = 7.56}[/tex]
  • [tex]\tt{26.46 ÷ 7.56 = 3.5}[/tex]

To double check do the solution of finding volume of rectangular prism.

Formula:

  • [tex]\tt{V = ( L )( W )( H )}[/tex]
  • [tex]\tt{V = ( 4.2 )( 3.5 )( 1.8 )}[/tex]
  • [tex]\tt{V = ( 14.7 )( 1.8 )}[/tex]
  • [tex]\tt{V = ( 26.46 )}[/tex]

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