140k views
0 votes
In a rectangular pyrimid l=30, w=20, and h=28. What is the length of s?

1 Answer

5 votes

Answer: In a rectangular pyramid, the "length of s" usually refers to the slant height (sometimes denoted as "s" or "l_s") of one of the triangular faces of the pyramid. To find the slant height, we can use the Pythagorean theorem.

Given:

Length of the pyramid (l) = 30

Width of the pyramid (w) = 20

Height of the pyramid (h) = 28

Let's consider one of the triangular faces of the pyramid. The slant height (s) is the hypotenuse of a right triangle, with the base and height of the triangle being the dimensions of the rectangular base (l and w).

Using the Pythagorean theorem, we have:

s^2 = l^2 + w^2

Substitute the given values:

s^2 = 30^2 + 20^2

s^2 = 900 + 400

s^2 = 1300

Now, solve for "s":

s = √1300

s ≈ 36.06 (rounded to two decimal places)

The length of the slant height (s) is approximately 36.06 units.

User Hlex
by
8.2k points

Related questions

1 answer
5 votes
140k views
asked Jul 1, 2024 188k views
Jordi Cabot asked Jul 1, 2024
by Jordi Cabot
8.3k points
2 answers
3 votes
188k views
asked Oct 3, 2024 11.5k views
Keeper asked Oct 3, 2024
by Keeper
8.9k points
1 answer
4 votes
11.5k views
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories