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
(w³+7)/w=(9w²+7)/9
(w³+7)9=(9w²+7)x
9w³+63=9w³+7x
63=7x
x=9
If the total age of both April and Amy are 53
And Amy is 9 years younger than april.
Then to solve for Amy's age you would subtract 9 from 53 and divide by 2
which equals 22
Since amy is 9 years younger than April, then April's age is Amy's age 22 + 9 which gives you 31
April's age is 31 and Amy's age is 22
