Question

What is the surface area of a square pyramid with a slant height of 6cm and the length of one side of the square base is 5cm

Answer 1

S = 85cm^2

Explanation:

The surface area of a square pyramid is given by the following formula:

`S=2hb+b^2`

where it has taken into account the sum of the area of a square and four triangles:

`4((hb)/(2))+b*b=2bh+b^2`

h: slant height = 6cm

b: base = 5cm

By replacing in the formula you obtain:

`S=2(5cm)(6cm)+(5cm)^2=85cm^2`

hence, the surface area is 85cm^2