if i have a cube with a volume of 216, what is the side length?

Question

Megan has a large packing box shaped as a cube with a volume of 216 cubic feet.

(A) What is the side length for the cubical box?

(B) Megan would like to design a box that is a rectangular prism, but not a cube. What are a possible length,width,and height that she could use if she wants this box to have the same volume as the cube? Explain how you found the dimensions.

Answer 1

V = a^3

216 = a^3

a = 3thrt(216)

a = 6

216 = 6^3

216 - 6*6*6

216 = 36*6

216 = 216

a rectangular prizm  8*4*9 = 216

                                  8*2*18 = 216