   Chapter 9.1, Problem 48E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

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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