Answer to Question #302600 in Calculus for armando

Question

When a square metal plate 15 cm long is heated, its side increases by 0.05 cm.

If the plate is cooled and its side decreases by 0.05, how much did its area decrease?

If it is a cubic plate and it is cooled by decreasing its side by 0.05, determine how much its volume decreased?

Answer 1

When heated the sides becomes 15.05 where the area is 15.05²=226.5025

When cooled it becomes 15 whereby the area is 15²=225 so

226.5025-225=1.5025

B)volume becomes 15.05³=3408.862625

Volume of decreased is 15³=3375

So 3408.862625-3375= 33.862625