Aprism with a base area of 5 ft² and a height of 10 ft is dilated by a factor of 6/5 .

what is the volume of the dilated prism?

enter your answer, as a decimal, in the box.

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 86.4