Answer:
Area of the composite figure is 130.6 [tex]in^2[/tex]
Step-by-step explanation:
Given:
The composite figure = Area of square pyramid +Area of Cube
height is given as 6 in.
base is given as 4 in.
Now we need to find the Area of the Square pyramid.
Area of Square Pyramid = [tex]base^2+ 2\times base (\sqrt{\frac{base^2} {4}+height^2[/tex]
Substituting the values we get
Area of Square Pyramid = [tex]4^2+ 2\times 4 \sqrt{\frac{4^2} {4}+6^2[/tex]
Area of Square Pyramid ≈ [tex]66.6 in^2[/tex]
Now Area of Cube = [tex]4\times base^2 =4\times 4^2= 64 in^2[/tex]
Area of Composite figure = Area of Square Pyramid + Area of Cube = [tex]66.6+64=130.6 in^2[/tex]
