1. ## Geometry

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).

2. Originally Posted by 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).
Ok so I tried plotting this in Maple. But, is it with pointplot3d([1,7,4], [8,7,4], ...]) etc? I think my answers are right but I wanted to make sure