/*! 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} Q26. Find the volume of a regular hex... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q26. (page 486)

Find the volume of a regular hexagonal pyramid with height 8 cm and base edges 6 cm.

Short Answer

Expert verified

Volume=1443鈥夆赌塩尘3

Step by step solution

01

Step 1. Given information.

The height of the hexagonal pyramid is equal to8cm and the length of base edge is equal to 6cm.

02

Step 2. Explanation.

The formula for the volume of pyramid is the one third of the product of base area and height.

V=13Bh

Simplify the base area of hexagonal triangle with side6cm .

B=332a2=332(6鈥塩尘)2=332(36鈥塩尘2)=543鈥塩尘2

03

Step 3. Determine The volume.

Substitute for B and8 for h in the formula for volume of pyramid.

V=13Bh=13(543)(8)=183脳8=1443

Therefore, the volume of the hexagonal pyramid with height8cm and base edge6cm is equal to1443 .

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

Write the name of the following prism.

The prism is called a right ____ prims.

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

VC=___

How many lateral faces are in the following prism?

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

Base鈥�鈥�edge=6,鈥�鈥�Height=4

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

Base鈥�鈥�edge=16,鈥�鈥�Slant鈥�鈥�Height=10
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Probability and Statistics

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.