Posted by **Nikki ** on Wednesday, January 30, 2013 at 7:11pm.

An open box is made from a square piece of metal by cutting out a 4 inch square from each corner and turning up the sides. Find the area of the original square if the box is to contain:

A) 16 cubic inches

And

B) 400 cubic inches

- Math -
**Reiny**, Wednesday, January 30, 2013 at 8:03pm
let the piece of metal be x inches by x inches

base of box is (x-8) by (x-8) , where x

so

4(x-8)(x-8) = 16

x^2 - 16x + 64 = 4

(x-6)(x-10) = 0

x = 6 or x = 10 , but remember x > 8

so the original piece of metal was 10 inches by 10 inches

You try B

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