Question

The surface area of a square pyramid is 84 square inches. The side length of the base is 6 inches. What is the value of x?

Answer 1

The value of x is 4 in.

Explanation:

Since, the surface area of right square pyramid,

`A=2as+a^2`

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,

`84 = 2* 6* x +6^2`

`84 = 12x+36`

`48 = 12x`

`\implies x = 4`

Thus, the value of x in the given diagram is 4 inches.