Question

Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary.

Answer 1

Answer: surface area = 313.2 cm²

Step-by-step explanation:

The given figure is an hexagonal pyramid. It has a hexagonal base and six triangular lateral faces. The formula for determining the surface area of the pyramid is expressed as

Surface area = 3ab + 3bs

Where

a represents the apotherm which is the distance from each side of the hexagon to the center.

b represents the base length

s represents the slant height of the hexagonal base.

From the information given,

a = 5.2 cm

b = 6 cm

s = 12.2 cm

Surface area = (3 × 5.2 × 6) + (3 × 6 × 12.2) = 93.6 + 219.6 = 313.2 cm²