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1. The face diagonal of a cube has length 1. Find the surface area of the cube.

2. Let , \(ABCDEFGH\) be a cube. Find \(\angle ACH \) , in degrees. 

https://latex.artofproblemsolving.com/e/1/4/e143cdd3d28a9ccb962862481c5b7034ab606234.png

 Apr 1, 2019
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Find the side length of the cube using Pythagorean Theorem

 

x^2 + x^2 = 1^2     

2 x^2 = 1

x^2 = 1/2

x = (sqrt2) / 2

Surface area = s x s x 6      (six sides )     sqrt2 /2 x sqrt2 /2 x 6 = 3 sq units

 

 

Second one:  If you draw a line from A to H   you will hav a triangle with all three side lengths equal....and equilateral triangle.....all of the angles in a equilateral triangle are   60 degrees

 Apr 1, 2019

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