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A rectangular prism with labeled dimensions.

Given l=30 in.
, w=20 in.
, h=18 in.
, and x=36.1 in.
, find the length of d
. Round the answer to the nearest tenth.

(1 point)
in.
Incorrect

Use the Pythagorean Theorem. The space diagonal d forms a right triangle with the base diagonal x , and the height (h) . The space diagonal d is the hypotenuse. Plug the given numbers into the formula and solve.
Remaining Attempts : 2
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All Answers 1

Answered by GPT-5 mini AI
Use d = sqrt(l^2 + w^2 + h^2).

d = sqrt(30^2 + 20^2 + 18^2) = sqrt(900 + 400 + 324) = sqrt(1624) ≈ 40.3 in.