Answer:
Step-by-step explanation:
When a geometrical figure is dilated by k units, we get area becomes k^2 times and volume k^3 times.
Given that a prism has original volume = 270m^3
Scale factor of dilation =3
Volume new would be = 3^3 (270)
=27(270)
=7290 m^3
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II) A prism has base area = 8 cm^2
Height = 6 cm
Dilated by scale factor = 5/4
New base area = 8(5/4)(5/4) = 25/2 cm^2
New height = 6(5/4) = 15/2
New volume = new base x new height
= 25/2*15/2 =375/4 = 93.75 cubic cm.
