SOLUTION: The box needs to measure 10 cm by 5 cm by 5 cm; 10% of the final product will be wasted in the cutting process. How much cardboard do you need?

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Question 107121: The box needs to measure 10 cm by 5 cm by 5 cm; 10% of the final product will be wasted in the cutting process. How much cardboard do you need?
Found 2 solutions by MathLover1, edjones:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

find the zeros of
(2x-7)^2(x^2-9)




The box needs to measure 10 cm by 5 cm by 5 cm; 10% of the final product will be wasted in the cutting process. How much cardboard do you need?
Length l+=++10cm
Width w+=+5cm
Height h+=5cm
If surface+area+of+box+ is SA
and SA=+2lw+%2B+2lh+%2B+2wh+=+2%28+lw++%2B+lh+%2B+wh%29
and, if cardboard needed is x
then
x+=++SA+%2B+%2810%2F100%29SA
SA=++2+%2810%2A5++%2B+10%2A5+%2B+5%2A5%29
SA=++2%28+50+%2B+50+%2B+25%29cm%5E2+=+2%2A125cm%5E2+=+250cm%5E2
x+=++SA+%2B+%2810%2F100%29SA
x+=++250cm%5E2+%2B+%2810%2F100%29250cm%5E2
x+=+250+cm%5E2+%2B+25+cm%5E2+=+275cm%5E2
x+=+275cm+%5E2 …… cardboard that will be needed

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Let L=10, w=5, h=5
2L*w+2L*h+2w*h=amt. of box material with no wastage.
2*10*5+2*10+5+2*5*5
=100+100+50
=250
Add 250*.1=25 for wastage
=275 cm^2 of cardboard you need.
Ed