Chapter 12: Q6. (page 484)

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

Short Answer

Expert verified

The volume of the pyramid is $384 {unit}^{3}$ .

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 edge length of square base is 12 and height of pyramid is 8.

Calculate area of base of pyramid.

$\begin{array}{l} Areaofbase = 12 \times 12 \\ = 144 {unit}^{2} \end{array}$

Step 3. Determine the volume.

In $Δ V B C$ , calculate the area.

$\begin{array}{l} Volumeofpyramid = \frac{1}{3} \times height \times areaofbase \\ = \frac{1}{3} \times 8 \times 144 \\ = 48 \times 8 \\ = 384 {unit}^{3} \end{array}$

Therefore, the volume of pyramid shown in figure is $384 {unit}^{3}$ .

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.

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

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

Pure Maths

Logic and Functions

Probability and Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Statistics

Study anywhere. Anytime. Across all devices.

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

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

Pure Maths

Logic and Functions

Probability and Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Statistics

Study anywhere. Anytime. Across all devices.

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