A rectangular prism has a volume of 10 cubic units. If the length width and height of the prism are all each made 3 times as long what is the new volume?

270 units³

Step-by-step explanation:

l×w×h = 10

lwh = 10

New Volume = (3l)×(3w)×(3h)

= 27×lwh

= 27×10

= 270 units³

Alternately,

Since the sides are increased in the same ratio,

The two prisms are similar figures

For similar figures,

volume1/volume2 = (side1/side2)³

New Volume/10 = (3/1)³ = 27

New Volume = 270 units³

"exterior angles = 360 / number of sides.

60 = 360 / sides

sides = 360 / 60

sides = 6"