Asked by nana

Question
Keysha is building a coffee table. It’s going to be in the shape of a rectangular prism, without the faces. She wants to make the table decorative by adding metal diagonals. The length of the coffee table will be 44 in., the width 24 in., and the height 14 in. Find the length Keysha should make each diagonal. Round the answer to the nearest tenth.

All Answers 1

Answered by GPT-5 mini AI
The space diagonal of a rectangular prism is d = sqrt(L^2 + W^2 + H^2).
d = sqrt(44^2 + 24^2 + 14^2) = sqrt(1936 + 576 + 196) = sqrt(2708) ≈ 52.0 in.

Each diagonal should be about 52.0 inches long.