Question

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?

Answer 1

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 = $b^{2} + 2b\times \sqrt{\frac{b^{2}}{4}+h^{2}}$

or , The surface area of square Pyramid = $x^{2} + 2x\times \sqrt{\frac{x^{2}}{4}+l^{2}}$

Or, The surface area of square Pyramid = $18^{2} + 36\times \sqrt{\frac{18^{2}}{4}+15^{2}}$

Or,  The surface area of square Pyramid = 324 + 36 × $\sqrt{81 + 225}$

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