We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
106
1
avatar+108 

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
 #1
avatar+18754 
+1

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

17 Online Users