Answer:
Step-by-step explanation:
∠AHE + ∠AHK = 180 {linear pair}
6x + 7 + 35 = 180
6x + 42 = 180
6x = 180 - 42
6x = 138
x = 138/6
x = 23
HI, I drew & explained it below. I used the sine trig function to find the diagonal length and then used the pythagorean to find the missing length. Hope this helps :)
Remark
A cube has six sides, all of them equal. The formula for 1 side is s^2. The formula for all six = 6s^2.
Step One
Find the surface area of the larger cube.
Area = 6 *s^2
s = 15
Area = 6 *15^2
Area = 6 * 225
Area = 1350
Step Two
Find the area of the smaller cube
Area = 6s^2
Area = 6 * 12^2
Area = 6 * 144
Area = 864
Step Three
Find the difference
Area1 - Area2 = difference
1350 - 864 = 486
The difference is area = 486 units^2 <<<<< Answer
There is a slightly shorter way. Take out the common factor of 6
Difference = 6 * (15^2 - 12^2)
Difference = 6 * (225 - 144)
Difference = 6 * (81)
Difference = 486
Answer:
Please see the attached picture ! :D
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