Chapter 12: Q10. (page 484)

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

Short Answer

Expert verified

The length of h is $2 \sqrt{6} unit$ .

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 value.

Consider the triangleXOV . Each edge of pyramid XYZ is equal to 6 and the length ofXO is equal to $2 \sqrt{3}$ .

In triangle XOV, use Pythagoras theorem to find the height h as:

$\begin{matrix} h = \sqrt{X V^{2} - X O^{2}} \\ = \sqrt{6^{2} - {(2 \sqrt{3})}^{2}} \\ = \sqrt{36 - 12} \\ = 2 \sqrt{6} \end{matrix}$

Therefore, the height h is equal to $2 \sqrt{6}$ .

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

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the value.

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

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Discrete Mathematics

Logic and Functions

Pure Maths

Study anywhere. Anytime. Across all devices.

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