SOLUTION: A lidless box is constructed from a square peice of tin by cutting a 10cm square from each corner and bending up the sides for the box. If the volume of the box is 1200cm cubed, f

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Question 112514: A lidless box is constructed from a square peice of tin by cutting a 10cm square from each corner and bending up the sides for the box. If the volume of the box is 1200cm cubed, find the dimensions to the nearest tenth of a centimetre.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A lidless box is constructed from a square piece of tin by cutting a 10cm
square from each corner and bending up the sides for the box. If the volume of
the box is 1200cm cubed, find the dimensions to the nearest tenth of a centimetre.
:
Let x = length of the sides of the base
:
If you draw a rough diagram, showing the 10cm squares on the corners it will be
apparent that the height of the box will be 10 cm:
:
We know the Area of the base = volume%2Fheight
:
Base area = 1200%2F10= 120 sq cm
:
x = sqrt%28120%29
:
x = 2*sqrt%2830%29 or 10.95445 cm
:
The dimensions to the nearest tenth: 11 by 11 by 10
:
Check solution: sqrt%28120%29 * sqrt%28120%29 * 10 = 1200