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A factory needs a box that has a volume of 1728 cubic inches. The width should be 4 inches less than the height and the length should be 6 inches greater than the height. Find the dimensions of the box.​

With solution po sana:)​


Sagot :

1

lwh=1728;

w=h-4;

l=h+6;

Determine using information given

2

(h-4)(h+6)(h)=1728

Substitution

3

h3+h2-24h-1728

Simplify

4

(h-12)(h2+14h+144)

Factor

5

h=12; l=18; w=8

Solve and plug back in.

RESULT

h=12; l=18; w=8