Chapter 12: Q16. (page 485)

A regular octagonal pyramid has base edge 3 m and lateral area 60 m². Find its slant height.

Short Answer

Expert verified

The slant height of the pyramid is5 m.

Step by step solution

Step 1. Given information.

Base edge of pyramid is 3 m and lateral area is 60 m².

Step 2. Write the concept.

The volume of the pyramid is given by the following formula:

$L.A. = \frac{1}{2} p l$

Step 3. Determine the height.

Substitute the given values in the formula.

$\begin{matrix} L.A. = \frac{1}{2} p l \\ 60 = \frac{1}{2} (8 (3)) (l) [substituteand p = n b] \\ 60 = 12 l [multiplyanddivide] \\ l = 5 [divide] \end{matrix}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

A regular octagonal pyramid has base edge 3 m and lateral area 60 m². Find its slant height.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Determine the height.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

Logic and Functions

Probability and Statistics

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

A regular octagonal pyramid has base edge 3 m and lateral area 60 m2. Find its slant height.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Determine the height.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

Logic and Functions

Probability and Statistics

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

A regular octagonal pyramid has base edge 3 m and lateral area 60 m². Find its slant height.