The prism has a volume of 70 mm³. Find the volume of a scaled image with a scale factor of 3.

Solution:

Volume of a prism = 70mm³ (Given)

Scale factor = 3 (Given)

The volume of a prism is the total space which is occupied by the three-dimensional object. It is the product of the area of the base and the length.

Volume of a prism = Base Area × Length

According to the question,

Volume of a prism = 70mm³

Volume of a scaled image with a scale factor of 3 = 70 × 3 = 210 mm³

Therefore, the volume of a scaled image with a scale factor of 3 is 210 mm³

The prism has a volume of 70 mm³. Find the volume of a scaled image with a scale factor of 3.

Summary:

The prism has a volume of 70 mm³. The volume of a scaled image with a scale factor of 3 is 210 mm³.