Consider the point.

(3, 5, 6)
Draw a rectangular box with the origin and
(3, 5, 6)
as opposite vertices and with its faces parallel to the coordinate planes. Label all vertices of the box.
Find the length of the diagonal of the box

Respuesta :

Answer:

L = 8.366

Step-by-step explanation:

Given

A(0,0,0)

H(3,5,6)

we can apply the equation

L = √((xH-xA)²+(yH-yA)²+(zH-zA)²)

where L is the length of the diagonal of the box

then

L = √((3-0)²+(5-0)²+(6-0)²)

⇒   L = √(9+25+36) = √70

⇒   L = 8.366

We can see the box in the pic shown.

Ver imagen jolis1796