Question

A rectangular prism is shown below with edges of 1,6, and 4 units. If a diagonal runs from point A to point B, how many

Answer 1

Answer:

The diagonal AB will 7.280 units long

Step-by-step explanation:

A solid with 3-dimensions with all its six faces rectangular is called a rectangular prism.  It has the same cross-section along a length, which makes it a prism. It is also a "cuboid"

Given the edges of th rectangular prism as 1,6, and 4 units, we can find the length of the diagonal by using the formula

$d=\sqrt{l^2+w^2+h^2}$

where

d is the diagonal AB

l is the length

w is width

h is the height

On Substituting the values

$d=\sqrt{(1)^2+(6)^2+(4)^2}$

$d=\sqrt{1+36+16}$

$d=\sqrt{53}$

$d=7.280$