What is the smallest cube that will hold 9 equal spheres with a radius of 2 ''cm''? One sphere...

Question:

What is the smallest cube that will hold 9 equal spheres with a radius of 2 cm? One sphere goes in each corner of the cube and one sphere is in the middle. The corner sphere touches the three faces of the cube and they are tangent to the center sphere.

Pythagoras Theorem:

Pythagoras theorem states that in a right angled triangle, if the base is of length {eq}a {/eq}, the height is of length {eq}b {/eq} and the hypotenuse is of length {eq}c {/eq} then$$a^2+b^2 = c^2$$

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As the corner sphere touches the cube on three sides, if we make a triangle using the center of the sphere, the corner of the cube and the point at...

The Pythagorean Theorem: Practice and Application

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Chapter 14 / Lesson 6
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Learn what the Pythagorean theorem is. Discover how to prove and use the Pythagorean theorem with examples, and identify how this theorem is used in real life.