SOLUTION: A rectangular box has a volume of 4m^3. What is the volume of an identically shaped box whose surface area is four times as big?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A rectangular box has a volume of 4m^3. What is the volume of an identically shaped box whose surface area is four times as big?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1172853: A rectangular box has a volume of 4m^3. What is the volume of an identically shaped box whose surface area is four times as big?
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

If the ratio of the surface areas of the two SIMILAR solids is 4, it means that 
the ratio of their corresponding linear dimensions is 2.


Hence, the larger box has the dimensions two times as that of the smaller box.


It implies that the larger solid has the volume 8 times as that of the smaller solid, i.e. 8*4 = 32 m^3.    ANSWER

Solved, answered, explained and completed.