Question

What is the total surface area of the drawing?

A. 549 km2
B. 256 km2
C. 564 km2
D. 265 km2

Answer 1

it is 549

Explanation:

Answer 2

Total surface area equals area of 5 rectangular faces + 2 pentagonal faces

Area of 5 rectangular faces

`=5 * 6 * 9 km^2`

`=270 km^2`

Area of 2 pentagonal faces can be found by drawing 5 isosceles triangles with height as shown in the diagram and multiply the result by 2.

`=5 * (1)/(2) * 9 * 6.2 * 2km^2`

`=279km^2`

The toatal surface area is

`=270+279=549 km^2`

The correct answer is A