building a shop

Question

If you have a circle that is  100 feet around how many feet across would it be?  If you could put a cube in it how many square feet would it be?

Answer 1

C = πd

100 = πd      divide both sides by π

31.83 ≈ d

 

The circle is approximately 31.83 feet across.

 

The largest square that would fit in the circle has a diagonal of 31.83 ft.

 

d = s√2, where d = diagonal, s = side

 

31.83 ≈ s√2    divide both sides by √2

22.5 ≈ s

 

The side is approximately 22.5 ft.

 

The volume of a cube is the edge cubed.

 

V ≈ 22.5³

V ≈ 11390.6

 

The volume of the cube is approximately 11,390.6 ft³.