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Home > PC > Chapter 8 > Lesson 8.1.3 > Problem 8-45

8-45.
  1. Let S be the surface area of a cube with edge length L. Homework Help ✎

    1. Write S as a function of L.

    2. If D is the length of the longest diagonal of the cube, write D as a function of L.

    3. Write D as a function of S.

S = 6L2

Draw a triangle within the cube with the longest diagonal D.

Find the diagonal of the bottom square AC.

Solve for L in your equation from part (a) above. Then substitute that expression for L in your D equation.

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