Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

For the cube, x represents a positive whole number. Find the value of x such that the volume of the cube and 6 times the area of one of its faces have the same value.

Short Answer

Expert verified

The length of the side of cube is x=6.

Step by step solution

01

Step 1. Volume of cube and area of square.

The volume of cube is V=(side)3and the area of base of the cube isV=(side)3

02

Step 2. Write the equation for the given statement.

The side of cube is x.

It is given that the volume of cube and 6 times the area of one of its faces have the same value.

Therefore, the required equation will be:

x3=6x2.

03

Step 3. Simplify the equation.

x3x2=6x2x2x=6

The length of the side of cube is x=6.

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 Vaia!

One App. One Place for Learning.

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

Get started for free

Study anywhere. Anytime. Across all devices.

Sign-up for free