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Home > PC > Chapter 8 > Lesson 8.1.3 > Problem 8-45
8-45.
Let
Write
as a function of . A cube has six square sides of length
. What is the area of each square? If
is 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,
. Write
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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