Chapter 12: Q13. (page 484)

Each edge of pyramid V- XYZ is 6 cm. Find the following numerical answers.
$Slant Height =___$

Short Answer

Expert verified

The slant height of the pyramid $V - X Y Z$ is equal to $3 \sqrt{3} cm$ .

Step by step solution

Step 1. Given information.

The given $V - X Y Z$ pyramid:

Each edge of pyramid is equal to 6.

Step 2. Determine the slant height.

Use the Pythagorean theorem in $Δ V M Z$ for the slant height l of the pyramid.

$\begin{matrix} {(V Z)}^{2} = {(V M)}^{2} + {(M Z)}^{2} \\ 6^{2} = l^{2} + 3^{2} \\ l = \sqrt{36 - 9} \\ l = 3 \sqrt{3} \end{matrix}$

Therefore, the slant height of the pyramid $V - X Y Z$ is equal to $3 \sqrt{3}$ cm.

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.

Each edge of pyramid V- XYZ is 6 cm. Find the following numerical answers.
$Slant Height =___$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the slant height.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Logic and Functions

Mechanics Maths

Pure Maths

Geometry

Decision Maths

Study anywhere. Anytime. Across all devices.

Each edge of pyramid V- XYZ is 6 cm. Find the following numerical answers.Slant Height=___

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the slant height.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Logic and Functions

Mechanics Maths

Pure Maths

Geometry

Decision Maths

Study anywhere. Anytime. Across all devices.

Each edge of pyramid V- XYZ is 6 cm. Find the following numerical answers.
$Slant Height =___$