What are the possible expressions for the dimensions of the cuboids whose volumes are given below? I Volume: - 12% I I Volume: 12ky2 + 8ky - 20k I u1 Ui>

(i) Volume = 3%2 - 12.% = 3xC% - 4) Possible dimensions are 3, x and (x •- 4). (ii) Volume = 12ky2 + Bky - 20k = 4k(Sy2 + 2y - 5) = 4k(Sy2 + 5y - Sy - 5) "" 4k { y(3y + 5) - 1(3y + 5)1 = 4k( y - 1)(3y + 5). Poesible dimensions are 4k, y - 1and 3y + 5. CJa