Mathematics

Problem

A solid metal cube A has volume

(64)^{\tfrac{3}{2}}\;\text{cm}^3

. Another cube B is made from the same metal and has edge length

(2)^{\tfrac{5}{2}}\;\text{cm}

. a. (i) Find the length of the edge of cube A. b. (ii) Calculate the volume of cube B. c. (iii) Determine the ratio

\dfrac{\text{Volume of cube B}}{\text{Volume of cube A}}

in its simplest form.