Question

Here are two rectangular prisms:

K
L
6
5
4
5
5
5
1 Which figure do you think has the longer diagonal? Note that the figures are not drawn to scale
2. Calculate the lengths of both diagonals. Which one is actually longer?

Answer 1

To determine which rectangular prism has the longer diagonal, we need to calculate the lengths of both diagonals. Prism L has a longer diagonal compared to Prism K.

Step-by-step explanation:

To determine which rectangular prism has the longer diagonal, we need to calculate the lengths of both diagonals. Let's refer to the prisms as Prism K and Prism L. Prism K has dimensions of 6, 5, and 4, while Prism L has dimensions of 5, 5, and 5.

Using the Pythagorean theorem, we can find the length of the diagonal of Prism K:

DK = √(6^2 + 5^2 + 4^2) ≈ 9.43

Similarly, we can find the length of the diagonal of Prism L:

DL = √(5^2 + 5^2 + 5^2) ≈ 10.83

Therefore, the diagonal of Prism L is actually longer than the diagonal of Prism K.