What is the surface area of the pyramid to the nearest whole number?

256 cm^2
128 cm^2
64 cm^2
192 cm^2

64 cm²

Step-by-step explanation:

To find the area of the square pyramid:

We use the formula;

Area of the square pyramid =   B +  p . l

Where b = area of the base

p = perimeter

l = slant height

Area of base =  length × breadth

                        =  4 cm  ×   4 cm  

                        =  16 cm²

slant height is given as 6 cm

Perimeter =  4 cm + 4 cm + 4 cm + 4 cm = 16 cm

Now we can plug all our variable into the formula;

Area of the square pyramid =   B +  p . l

                                               =16 cm² +  ×  16 cm  × 6 cm

                                                = 16 cm²  +  48 cm²

                                                  =  64 cm²

(   Note; the value of  ×  16 cm  × 6 cm = 48 cm²)

Therefore the surface area of the pyramid is 64 cm²

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