Question

Volume and Surface Area

Math help 100 points

Answer 1

1 - V = Smaller solid=512 cm³

V = Larger solid=2197 cm³

2- 1.625² = 2.64

3 - SA of big solid is found 2535 cm²

Answer 2

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