163k views
5 votes
8

PROBLEM SET 4: Distances in Three Dimensions
Determine the length of the diagonal of each rectangular solid.
8 cm
24 cm
6 cm
cm²

User Tamas Nagy
by
6.7k points

1 Answer

4 votes

Answer:

To find the length of the diagonal of a rectangular solid, you can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the diagonal of the rectangular solid will be the hypotenuse of a right triangle, with the other two sides being the dimensions of the rectangular solid. Therefore, to find the length of the diagonal, we can use the following formula:

diagonal = √(l^2 + w^2 + h^2)

where l, w, and h are the dimensions of the rectangular solid.

Plugging in the given dimensions of 8 cm, 24 cm, and 6 cm, we get:

diagonal = √(8^2 + 24^2 + 6^2) = √(64 + 576 + 36) = √(676) = 26 cm

So the length of the diagonal of the rectangular solid is 26 cm.

User Dazed
by
7.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.