Question

The surface area of a square pyramid is represented by the algebraic expression b² + 2bh, where b represents the base length and h represents the height. What is the surface area of a square pyramid with a base length of 30 inches and a height of 26 inches? O A. 2,460 square inches OB. 1,592 square inches O C. 1,590 square inches OD. 958 square inches​

Answer 1

Explanation:

The surface area (\(A\)) of a square pyramid is given by the formula:

\[ A = b^2 + 2bh \]

where \(b\) is the base length and \(h\) is the height.

Given a base length \(b = 30\) inches and a height \(h = 26\) inches, substitute these values into the formula:

\[ A = (30)^2 + 2 \times 30 \times 26 \]

Now calculate this expression:

\[ A = 900 + 1,560 \]

\[ A = 2,460 \]

So, the surface area of the square pyramid is \(2,460\) square inches. Therefore, the correct option is O A. \(2,460\) square inches.