Answer:
The value of x is 4 in.
Step-by-step explanation:
Since, the surface area of right square pyramid,
[tex]A=2as+a^2[/tex]
Where, a is the base edge of the pyramid,
And, s is the height of each triangular surface,
Here, a = 6 in, s = x in and A = 84 in²,
By substituting these values in the above formula,
[tex]84 = 2\times 6\times x +6^2[/tex]
[tex]84 = 12x+36[/tex]
[tex]48 = 12x[/tex]
[tex]\implies x = 4[/tex]
Thus, the value of x in the given diagram is 4 inches.
