   Chapter 9.1, Problem 46E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# It can be shown that the length of a diagonal of a right rectangular prism with dimensions l , w , and h is given by d = l 2 + w 2 + h 2 . Use this formula to find the length of the diagonal when l = 12   i n . , w = 4   i n ., and h = 3   i n .

To determine

The length of the diagonal using the formula d=l2+w2+h2, when l=12 in., w=4 in., and h=3 in.

Explanation

Given,

The diagonal of a right rectangular prism with dimensions l,w, and h is given by,

d=l2+w2+h2

The dimensions of the right rectangular prism is given as

l=12 in.,

w=4 in., and

h=3 in.

Substitute; the above values in the given formula, to get

d=l2+w2

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