Chapter 12: Q7. (page 484)

V- ABCD is a regular square pyramid. Find the following numerical answers.
$V C =___$

Short Answer

Expert verified

The length of VC is $\sqrt{136} unit$ .

Step by step solution

Step 1. Given information.

The given $V - A B C D$ is a regular square pyramid.

Also $A B = 12$ , and $B C = 12$ .

Step 2. Determine the area.

The length ofVC can be determined by using Pythagoras theorem in triangle VOC.

The length of OCcan be calculated as:

$\begin{matrix} O C = \sqrt{O M^{2} + M C^{2}} \\ = \sqrt{6^{2} + 6^{2}} \\ = \sqrt{36 + 36} \\ = 6 \sqrt{2} \end{matrix}$

Step 3. Determine the volume.

In triangle VOC, the length of VC is

$\begin{matrix} V C = \sqrt{O C^{2} + V O^{2}} \\ = \sqrt{{(6 \sqrt{2})}^{2} + 8^{2}} \\ = \sqrt{72 + 64} \\ = \sqrt{136} \end{matrix}$

Therefore, the length of VC is equal to $\sqrt{136}$ unit.

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V- ABCD is a regular square pyramid. Find the following numerical answers.
$V C =___$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the area.

Step 3. Determine the volume.

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V- ABCD is a regular square pyramid. Find the following numerical answers.VC=___

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the area.

Step 3. Determine the volume.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Discrete Mathematics

Logic and Functions

Applied Mathematics

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

V- ABCD is a regular square pyramid. Find the following numerical answers.
$V C =___$