A solid metal cube A has volume

MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems

Problem

(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}

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

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

in its simplest form.