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**Startbucks** Given a box with coordinates:

BOTTOM:

A $\displaystyle (1,3,4)$

B $\displaystyle (8,3,4)$

C $\displaystyle (8,3,10)$

D $\displaystyle (1,3,10)$

TOP:

E $\displaystyle (1,7,4)$

F $\displaystyle (8,7,4)$

G $\displaystyle (8,7,10)$

H $\displaystyle (1,7,10)$

Determine the width of the box in the $\displaystyle x$ direction, its tallness in the $\displaystyle y$ direction and its depth in the $\displaystyle z$ direction.

I said it'd be 7 units long in the x direction, 4 in the y and 6 in the z. Is this right? I just took the highest of each and subtracted the lowest of each (respective to the coordinates).