First we need to find the volume of the prism without the dilated factor:
The volume would be:
Volume of the prism(without dilated) = (area of the base) * (height)
Since,
Area of base = 5
Height of the prism = 10f
Volume(without dilated) = 5*10 = 50
Now let us apply the dilated factor! For that you need to multiply for factor with the volume of the prism without dilation.
Volume of the dilated prism =
* (Volume of the prism without dilation)
Where d = dilated factor. Therefore,
v = 86.4
So the correct answer:
86.4