MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems
Problem
A cube has edge length s=532243 metres.
(i) Express s in exponent form without using the radical symbol.
(ii) Using the result of part (i), find expressions for the surface area 6s2 and the volume s3 of the cube in exponent form with positive rational exponents.
(iii) Simplify each exponent in part (ii) so that no radicals remain.
(iv) Calculate the numerical value of the volume correct to two decimal places.