The triangular prism has a volume of 27 cubic units. A triangular prism. What will be the volume of the prism if each side is dilated by a factor One-third? 1 cubic unit 3 cubic units 8 cubic units 9 cubic units

Option (2)

Step-by-step explanation:

Volume of a prism A (preimage) = 27 cubic units

Factor of dilation of the sides of this prism (image) =

Volume scale factor of these prisms =

Since, Volume scale factor = (Scale factor of dilation of the sides)³

                                             =

                                             =

Now from the formula of volume scale factor,

Volume of the image prism = = 3 cubic units

Therefore, Option (2) will be the answer.                                                    

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