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If the width of a rectangular prism is doubled, the length is tripled, and the height is doubled, what is the volume of the resulting rectangular prism?

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Answer with explanation:

Let L units be the Length of Original rectangular prism, B units be the Breadth of Original rectangular prism, and H units be the Height of Original rectangular prism.

→Volume of Original Prism =Length ×Breadth× Height

= L B H (units)³

Dimension of New Rectangular Prism

New Length of Prism = 3 L units

New Breadth of Prism = 2 B units

New Height of Prism = 2 H units

Volume of the New Prism = New Length × New Breadth × New Height

= 3 L × 2 B × 2 H

=12 L B H (units )³

=12 × Volume of the Original Prism

Option B.→ twelve times the original volume

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