Ani010
contestada

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?

Respuesta :

jbmow
Since each of these length is directly used to determine the volume, it will be increased by 2x3x2 = 8 times the original volume.

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