Question

What is the approximate length, in centimeters, of the diagonal from point A to point B in the right rectangular prism shown? Round your answer to the nearest whole centimeter.

A.8
B.9
C.10
D.11

Answer 1

11

Explanation:

First, find the diagonal along the base of the prism. Let B be the diagonal along the base.

8^(2)+6^(2)=b^(2)

64+36=b^(2)

100=b^(2)

10=b

Then let d be the diagonal from point A to point B

b^(2)+5^(2)=d^(2)

10^(2)+5^(2)=d^(2)

100+25=d^(2)

125=d^(2)

\sqrt(125)=d

11=d

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