A right square pyramid is pictured below. if l is 15 cm and x is 18 cm, what is the surface area of the pyramid?
Accepted Solution
A:
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 cmThe base of square pyramid = x = 18 cmNow, 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 × 17.49Or , The surface area of square Pyramid = 324 + 629.64 = 953.64 cm²Hence The surface area of square pyramid is 953.64 cm² . Answer