Question

Find the surface area of the composite figure to the nearest hundredth.( do not round until your final calculation).

Answer 1

Given:

$\begin{gathered} Radius,r=3ft \\ Slant\text{ }height,l=7.6ft \\ Length,l_1=12ft \\ Width,b=9ft \\ Height,h=4ft \end{gathered}$

To find:

The surface area of the figure.

Explanation:

The formula of the surface area of the figure is,

$\begin{gathered} A=Surface\text{ a}rea\text{ of cuboid+Surface area of the cone-Area of the circle} \\ A=2(l_1b+bh+l_1h)+\pi rl-\pi r^2 \\ =2(12\times9+9\times4+12\times4)+3.14\times3\times7.6-3.14\times3^2 \\ =384+71.592-28.26 \\ =427.332 \\ \approx427.33ft^2 \end{gathered}$

Final answer:

The surface area of the figure is 427.33 square ft.