Consider the square pyramid shown. If each dimension is doubled, how does the surface area change? The surface area doubles. The surface area triples. The surface area increases by 4 times. The surface area increases by 8 times.

Surface area of a square pyramid

A = b² + (2 * b * s)

Where,

b = Base length

s = Slant Height

Assume,

b = x

s = y

A = x² + (2 * x * y)

= x² + 2xy

If all dimensions are doubled

b = 2x

s = 2y

A = (2x) ² + (2 * 2x * 2y)

A = 4x² + 8xy

A = 4 (x² + 2xy)

∴ The surface area increases by 4 times

The correct answer is the third choice

The surface area increases by 4 times