/*! 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} Q39. All nine edges of right triangul... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q39. (page 480)

All nine edges of right triangular prism are congruent. Find the length of these edges if the volume is543鈥夆赌塩尘3.

Short Answer

Expert verified

The length of the edges is6 cm.

Step by step solution

01

Step 1. Given information.

All nine edges of a right triangular prism are congruent.

02

Step 2. Write the concept.

Since nine edges of a right triangular prism are congruent.

To find the edges length, let edges length isx,

So, the base area is:

b=34x2

03

Step 3. Determine the volume.

Now, the volume is:

v=bh543=34x2(x)[substitute]543=34x3[mutliply]

So,

x3=216[simplify]x=6[cuberoot]

Then, the length of the edges is 6 cm when the volume is543鈥夆赌塩尘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.

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

All the edges of a regular triangular pyramid are x units long. Find the volume of the pyramid in terms of x.

A right prism has square bases with edges that are three times as long as the lateral edges. The prism鈥檚 total area is 750 m2. Find the volume.

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.=___

A pyramid has a base area of 16 cm2 and a volume of 32 cm2. Find its height.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

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.