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

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) (Show Source): You can put this solution on YOUR website!
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 =
:
Base area = = 120 sq cm
:
x =
:
x = 2* or 10.95445 cm
:
The dimensions to the nearest tenth: 11 by 11 by 10
:
Check solution: * * 10 = 1200

RELATED QUESTIONS
A lidless box is constructed from a square piece of tin by cutting a 10cm square from... (answered by solver91311)

1)The hypothenuse of right triangle is 15cm. the sum of the legs is 21cm. Find the legs... (answered by jrfrunner)

a box with a square base and no top is to be made from a square peice of tin by cutting... (answered by macston)

CAn you please help me with this question? An open box is to be constructed from a... (answered by mananth)

If an open box is made from a tin sheet 7 in. square by cutting out identical squares... (answered by Edwin McCravy)

please help me with this problem, Thanks! A box without a top is to be constructed... (answered by Earlsdon)

please help me solve this problem: A lidless box is made from a square piece of metal... (answered by ankor@dixie-net.com)

An open-top box is constructed from a square sheet of tin, 14 inches on each side, by... (answered by mananth)