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

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
RELATED QUESTIONS
Solving Problems with Quadratic Equations 21. An open-topped box is to be made from a... (answered by mananth)

An open-topped box is made from a piece of cardboard measuring 20cm by 25cm. The sides of (answered by josgarithmetic)

An open box is to be made from a rectangular piece of tin by cutting 2-inch squares out... (answered by josgarithmetic)

an open topped box is made from a rectangular piece of cardboard, with the dimensions 24... (answered by checkley77,ankor@dixie-net.com)

An open box is to be made from a rectangular piece of tin by cutting two inch squares out (answered by ankor@dixie-net.com)

An open box is to be made from a rectangular piece of tin by cutting two inch squares out (answered by 303795)

An open box is to be made from a rectangular piece of tin by cutting two inch squares out (answered by checkley77)

Please help! I have been struggling with this question all morning! An open topped... (answered by josgarithmetic)

An open tin box is constructed from a rectangular piece of tin measuring 64 cm by 36 cm.... (answered by josgarithmetic)