SOLUTION: What is the length of the diagonal of a right rectangular prism with dimensions l = 5cm, w = 4 cm, and h = 3 cm?

Algebra.Com
Question 266431: What is the length of the diagonal of a right rectangular prism with dimensions l = 5cm, w = 4 cm, and h = 3 cm?

Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
this is a 3 dimensional pythagorean theorem and is expressed as

or

which is

or

so,
d = 5sqrt(2)

RELATED QUESTIONS

For the right rectangular prism (or box) shown, the dimensions are = 12 in, w = 4 in,and (answered by stanbon)
a rectangular prism has a volume of 520 cubic cm. what is two possible set of dimensions... (answered by Alan3354)
If Casey removes a cube with the side length of 4 cm from each corner of the solid(... (answered by solver91311)
The base dimensions of a rectangular prism are 4 cm and 6 cm and height 10 cm. What is... (answered by solver91311)
On this problem, my instructor asks that we use the Pythagoreans Theorem. The length... (answered by ptaylor)
I need help in explaining this to my 5th grade daughter. Please illustrate the following (answered by solver91311)
A rectangular box is completely filled with dice. Each die has a volume of 1cm^3. The... (answered by josgarithmetic)
What is the volume of a prism with length 9 cm, width 5 cm, and height 4 cm? 81 cm^3 (answered by Boreal)
what is the surface area in square centimeters of this triangular prism with the given... (answered by solver91311)