suzannes box

Question

suzanne designs a rectangular storage box. the cover will overlap more than 10 cm of each side. each face at the bottom of execption , include an thin X of copper wire. How much copper wire will suzanne need to buy if the box is 90 cm long, 70 cm deep and 70 cm high ? do you think she should buy additional wire?

Answer 1

Assumption:  Suzanne is to put a copper X (corner to corner) on each side of the box, except the bottom and the top.  The top will have a cover on it that extends beyond each side of the box by 10cm and it also gets a copper X.

 

Front and back sides:

90 cm X 70 cm

 

Left and right ends:

70 cm X 70 cm

 

Cover:

110 cm X 90 cm  (90 + 10 +10) X (70 + 10 + 10)

 

Front copper X:

90^{^2} + 70^{^}2 = L^{^}2

L = sqrt(90^2 + 70^2) = sqrt(8100 + 4900) = sqrt(13000) = 114.02cm

Need two of these to make an X, so 228.04cm for the Front

 

Back copper X:

same as the front, so another 228.04cm

 

Repeat for the 2 ends using 70 and 70

 

Repeat for the cover using 110 and 90

 

Add up the Front, Back, Left, Right, and Cover amounts

 

Compare that to the amount of wire she has (which you did not provide in your description) and you can answer the 2nd question.