Question

Find the surface area of the composite solid. Round your answer to the nearest hundredth.

Answer 1

Answer:

The answer is

A. 529.66 ft²

Step-by-step explanation:

The picture of the composite figure is not given,

But find attached the figure.

The composite consists of two solid shapes

1. Cylinder

2. Rectangular prism

To solve for the total surface area of the composite

Let us solve for the total surface area of the cylinder

Given radius r= 4ft

Height h=5ft

A= πr²+2πrh-πr²

N/B we subtracted the second circular surface since it is joined to the rectangular prism

A= 3.142*4²+2(3.142)*4*5-3.142*4²

A= 50.272+125.68-50.272

A=125.68ft²

We proceed to find the area of the rectangular prism

We know that the prism has 6 sides

Hence area

A= 2(11*6)+ 2(8*6)+2(11*8)

A= 132+96+176

A= 404ft²

Hence total surface area is

404+125.68= 529.68ft²