Using the concept of dilation the volume of the dilated cube when dilated by a factor of 5 is 9375 cm³.
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 cube with a volume of 75 cm³ is dilated by a factor of 5.
The edge of the cube before dilation
Edge³ = 75
Edge = 4.217
The edge after dilation will be
Edge = 5 x 4.217
Edge = 21.08
The volume of the dilate cube will be
Volume = ( Dilated Edge)³
Volume = 9375
The volume of the dilated cube is 9375 cm³.
More about the dilation link is given below.
https://brainly.com/question/8652140
