SOLUTION: please help me solve this problem: A lidless box is made from a square piece of metal by cutting 3 cm squares from the corners and bending up the sides. If the volume of the box

Question 245216: please help me solve this problem:
A lidless box is made from a square piece of metal by cutting 3 cm squares from the corners and bending up the sides. If the volume of the box is 60 cm^3 find the dimensions of the square piece of metal
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A lidless box is made from a square piece of metal by cutting 3 cm squares from the corners and bending up the sides.
If the volume of the box is 60 cm^3 find the dimensions of the square piece of metal
:
If 3 cm squares are cut, the height of the box is 3 cm
:
Find the area:
= 20 sq/cm is the area of the bottom of the box
:
Since it is square:
= 4.472 cm is the dimension of the side of the square bottom
:
Cutting 3 cm squares subtracts 6 cm from the original square piece of metal dimensions
Therefore
4.472 + 6 = 10.472 cm is the side of the square piece of metal
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