A solid wooden cube has a volume of .

MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A solid wooden cube has a volume of

864\,\text{cm}^3

. (i) Find the length of one edge of the cube, leaving the answer in simplest radical form. (ii) Calculate the total surface area of the cube in

\text{cm}^2

. (Take the exact edge length obtained in part (i).)