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 44in., the width 24 in., and the height 14 in. Find the length Keysha should make each diagonal. Round the answer to the nearest tenth.

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 44in., the width 24 in., and the height 14 in. Find the length Keysha should make each diagonal. Round the answer to the nearest tenth.

Answer 1

To find the length of the diagonal, we can use the Pythagorean theorem.

Let's label the length as "d", the width as "w", and the height as "h".

Using the Pythagorean theorem, we have:

d^2 = w^2 + h^2

Plugging in the given dimensions of the coffee table:

d^2 = 24^2 + 14^2

d^2 = 576 + 196

d^2 = 772

Now, we can solve for d by taking the square root of both sides:

d = √772

d ≈ 27.8

Therefore, Keysha should make each diagonal approximately 27.8 inches long.