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Home > PC3 > Chapter 3 > Lesson 3.1.3 > Problem 3-48

3-48.

Let represent the surface area of a cube with edge length .     

  1. Write an equation for as a function of

    A cube has six square sides of length . What is the area of each square?

  2. If represents the length of the longest diagonal of the cube, write an equation for as a function of

    Draw a triangle within the cube with the longest diagonal .

    Write an equation for the diagonal of the bottom square .

    Write an equation for the longest diagonal, .

  3. Write an equation for as a function of .

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

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