A school is developing a Cube Garden Project for its annual science exhibition. The students decide to build decorative cube shaped stone blocks. Each block has the same length, breadth and height.
One of the blocks has a volume of \(1728\ cm^3\).
(i) Estimate the length of one edge of the cube - shaped block.
(ii) If a new stone block is designed with an edge length of \(17\ cm\). What will be the unit digit of its volume.
(iii) Express the volume of block with an edge length of \(5\ cm (5^3)\) as the sum of consecutive odd numbers.
(iv) The volume of a third block ends with three zeros \(27000\ cm^3\). What can you conclude about the edge length of the cube?