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

units long is diagonal AB?

Answer 1

The diagonal AB will 7.280 units long

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=√(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=√((1)^2+(6)^2+(4)^2)`

`d=√(1+36+16)`

`d=√(53)`

`d=7.280`