The volume of the dilated prism when the dimensions are dilated by a factor of 32 is 393,216 m³.
<h3>What is dilation?</h3>
Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
Given
A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32.
The area after the dilation.
Dilated area = (Dilation)² x base area
Dilated area = 32² x 3
Dilated area = 3072 m²
The height after the dilation.
Dilated area = Dilation x base area
Dilated area = 32 x 4
Dilated area = 128 m
The volume of the dilated prism.
Volume = 3072 x 128
Volume = 393216 m³
The volume of the dilated prism is 393,216 m³.
More about the dilation link is given below.
brainly.com/question/8652140
