Question

what is the surface area of a square pyramid if the base has an area of 16cm2 and lateral faces have a slant height of 12cm?

Answer 1

The surface area of this square pyramid is 112 cm^2!
Hope this helps <3

Answer 2

Surface area of a square pyramid is:

112 cm²

Explanation:

The surface area of square pyramid is given by:

S=2bs+b²

Where b is the length of base and s is the slant height.

and Area of base=b²

Here, s=12 cm

and Area of base=b²=16 cm²

⇒ b=4 cm

Hence, Surface Area=2×12×4+4×4

= 112 cm²

Hence, surface area of a square pyramid is:

112 cm²