Question

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?

Answer 1

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Answer:

• 
  `\tt{3.5}`

Step-by-step explanation:

How to get the width?

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

Formula:

• 
  `\tt{W = H × L ÷ V}`

Solution:

• 
  `\tt{4.2 × 1.8 = 7.56}`
• 
  `\tt{26.46 ÷ 7.56 = 3.5}`

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

Formula:

• 
  `\tt{V = ( L )( W )( H )}`
• 
  `\tt{V = ( 4.2 )( 3.5 )( 1.8 )}`
• 
  `\tt{V = ( 14.7 )( 1.8 )}`
• 
  `\tt{V = ( 26.46 )}`

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Answer 2

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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.