Answer:
The surface area of square pyramid is 953.64 cm² .
Step-by-step explanation:
Given as for a square pyramid :
The height of pyramid = l = 15 cm
The base of square pyramid = x = 18 cm
Now,
The surface area of square Pyramid = [tex]b^{2} + 2b\times \sqrt{\frac{b^{2}}{4}+h^{2}}[/tex]
or , The surface area of square Pyramid = [tex]x^{2} + 2x\times \sqrt{\frac{x^{2}}{4}+l^{2}}[/tex]
Or, The surface area of square Pyramid = [tex]18^{2} + 36\times \sqrt{\frac{18^{2}}{4}+15^{2}}[/tex]
Or, The surface area of square Pyramid = 324 + 36 × [tex]\sqrt{81 + 225}[/tex]
or, The surface area of square Pyramid = 324 + 36 × 17.49
Or , The surface area of square Pyramid = 324 + 629.64 = 953.64 cm²
Hence The surface area of square pyramid is 953.64 cm² . Answer