Answer:
720 sq units.
Step-by-step explanation:
Length and width of square prism, w = 12 units
Height of square prism, x = 7 units
Height of square pyramid, y = 8 units
Please have a look at the attached image.
Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.
Here, surface area of the composite figure will be:
<em>Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism</em>
For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.
Let slant height be units.
Using pythagoras theorem, we can find out the value of .
As per theorem:
Lateral surface area of square prism = 4 Area of triangular surface
Surface Area of 5 surfaces of the square prism =
So, total surface area of composite figure:
240 + 480 = 720 sq units.
