The volume of the dilated prism is calculated to be considering scale factor for the area as well as the height is 7558272 cm³.
The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object).
Given that
The base area of prism = 8 cm²
Height of the prism = 6
Scale factor = 54
So enlarged area =( scale factor )² * previous area = 54²* 8 = 23328 cm²
Enlarged height = 54*6= 324 cm
Enlarged volume = enlarged area* enlarged height = 7558272 cm³
Thus, the volume of the dilated prism is 7558272 cm³.
To get more about dilation refer to:
https://brainly.com/question/25722260
