Answer:
The surface area of the square pyramid is 40 units².
Step-by-step explanation:
As we know that the total surface area of a square pyramid can be obtained by identifying the length 'b' of its base and its slant height 's' by using the formula:
[tex]A=2bs+b^2[/tex]
From the figure, it is clear that
- length of its base = 'b' = 4
substituting the values in the formula
[tex]A=2bs+b^2[/tex]
[tex]A=2\left(4\right)\left(3\right)+\left(4\right)^2[/tex]
[tex]=2\left(4\right)\left(3\right)+16[/tex]
[tex]=40[/tex]
Therefore, the surface area of the square pyramid is 40 units².
