The surface area of a square pyramid is the sum of the area of the base and the area of the four side squares. The surface area of the square base pyramid is 525 in².
The surface area of a square pyramid is the sum of the area of the base and the area of the four side squares. It is given by the formula,
Surface Area of the Square pyramid = a² + 2al
where a is the length of the side of the base, and l is the length of the slant height of the pyramid.
The length of the base of the square pyramid is 15 inches, while the length of the slant height of the pyramid is 10 inches. Therefore, the surface area of the pyramid is,
[tex]\text{Surface Area of the Square pyramid} = a^2 + 2al[/tex]
[tex]\rm = (15)^2 + (2 \times 15 \times 10)\\\\= 225 + 300\\\\= 525\ in^2[/tex]
Hence, the surface area of the square base pyramid is 525 in².
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