To find the length of each diagonal, we can use the Pythagorean theorem.
The diagonal of a rectangular prism can be found by taking the square root of the sum of the squares of its three dimensions.
Let's call the length of the coffee table "a", the width "b", and the height "c".
Using the Pythagorean theorem, the diagonal (d) can be found using the formula:
d = √(a^2 + b^2 + c^2)
Plugging in the values:
a = 44 in.
b = 24 in.
c = 14 in.
d = √(44^2 + 24^2 + 14^2)
d = √(1936 + 576 + 196)
d = √2708
d ≈ 52.0
Therefore, Keysha should make each diagonal of the coffee table approximately 52.0 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. (1 point)
1 answer