To find the length of each diagonal, we can use the Pythagorean theorem.
Let's consider the diagonal of the rectangular prism that goes from one top corner to the opposite bottom corner.
The length (L), width (W), and height (H) of the rectangular prism are given as follows:
L = 44 inches
W = 24 inches
H = 14 inches
Using the Pythagorean theorem, we can find the length of the diagonal (D):
D^2 = L^2 + W^2 + H^2
D^2 = 44^2 + 24^2 + 14^2
D^2 = 1936 + 576 + 196
D^2 = 2708
D ≈ √2708
D ≈ 52.082
Therefore, Keysha should make each diagonal approximately 52.1 inches long.
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.
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1 answer