Part 1) we have that volume smaller solid=512 cm³ volume larger solid=2197 cm³
we know that volume larger solid=[scale factor]³*volume smaller solid scale factor=∛[volume larger solid/volume smaller solid] scale factor=∛[2197/512]-----> scale factor=1.625
Part 2) the ratio of the surface areas is equal to [scale factor]² 1.625²-------> 2.64
Part 3) surface area smaller solid=960 cm² then surface area larger solid=scale factor²*surface area smaller solid surface area larger solid=[1.625]²*960-----> 2535 cm² surface area larger solid is 2535 cm²