SOLUTION: Solving Problems with Quadratic Equations
21. An open-topped box is to be made from a rectangular piece of tin measuring 50 cm by 40 cm by cutting squares of equal size from each
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21. An open-topped box is to be made from a rectangular piece of tin measuring 50 cm by 40 cm by cutting squares of equal size from each
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Question 198597: Solving Problems with Quadratic Equations
21. An open-topped box is to be made from a rectangular piece of tin measuring 50 cm by 40 cm by cutting squares of equal size from each corner. The base area is to be 875 cm^2.
a) Draw a diagram representing the information.
b) What is the side length of the squares being removed?
c) What is the volume of the box?
Thanks1!! Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! cm2
Let the edge of the corner squares =
After the squares in each corner are cut, the area left is
The areas of the sides of the box will be (times 2) and (times 2)
What is left is the base, so cm2
Use quadratic equation cm
and cm (this is impossible- it's too long)
The side length of a square is 7.5 cm
check answer: cm2
OK
The volume of the box would be: cm3
The volume is 6562.5 cm3
check:
Volume is also
OK
