Question

A Cube and a cylinder have volumes of 64 cm. What could be the dimensions of each figure

 

Answer 1

Cube volume (a^3) = 64

a^3 = 64

Apply cube root on each side.

a = 4

Dimension of cube = 4cm

Cylinder volume  (V =  ∏r^2h) = 64

 *22/7*r^2*h = 64

r^2h = 64*7/22

r^2h = 20.36

If the cylinder and cube have equal height.

h = 4cm.

r^2 =20.36/4

r^2 = 5.09/5

Apply squre root on each side.

r = 2.25cm.