Answer:
x = 23
Step-by-step explanation:
surface area of a cube = 6s²
Side length, s = x - 5
Surface area of the cube = 1944 units²
What is the value of x?
surface area of a cube = 6s²
1944 = 6(x - 5)²
1944/6 = (x - 5)²
324 = (x - 5)²
324 = x² - 10x + 25
x² - 10x + 25 - 324 = 0
x² - 10x - 299 = 0
Solve quadratic equation using factorization
(x + 13) (x - 23) = 0
x + 13 = 0 or x - 23 = 0
x = -13 or x = 23
The side length can not be negative
Therefore, x = 23
change it to 5 4/16 then change it to 20/16 then subtract 7 and 13/16 so 5 13/16
15-4 = 11
11 x 2 = 22
22 + 2/3 = 68/3
