/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q14. Each edge of pyramid V- XYZ is 6... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q14. (page 484)

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

L.A.=___

Short Answer

Expert verified

The lateral area of the pyramidV鈭�XYZis equal to273鈥夆赌塩尘2273鈥夆赌塩尘2.

Step by step solution

01

Step 1. Given information.

The givenV鈭�XYZpyramid:

Each edge of pyramid is equal to 6.

02

Step 2. Write the concept.

The lateral area of the pyramid is the product of number of faces and the area of each face.

L.A.=n脳B

The area of each face is equal to the area of the base.

The base of the pyramid is equilateral triangle with edge of triangle is equal to 6 cm.

The formula for the area of the equilateral triangle is,

B=34a2

03

Step 3. Determine the Lateral Area.

Substitute 6 for a in the formula for area.

B=34a2=34(6)2=34(36)=93

Substitute93for b and 3 for in n the formula for lateral area.

L.A.=n(B)=3(93)=273

L.A.=n(B)=3(93)=273

Therefore, the lateral area of the pyramidV鈭�XYZis equal to 273鈥夆赌塩尘2.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Sketch the following square pyramid described. Then find its lateral area, total area, and volume.

Height=12,鈥�鈥�Slant鈥�鈥�Height=13

Sketch the following pyramid. Then find its lateral area.

A regular triangular pyramid with base edge 4 and slant height 6.

The shaded pyramid in the diagram is cut from a rectangular solid. How does the volume of the pyramid compare with the volume of the rectangular solid?

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

L.A.=___

Facts about the base of a right prism and the height of the prism are given. Sketch each prism and find its lateral area, total area and volume.

Regular hexagon with side 8, h = 12.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.