Answer:
14. 2384 in²
15. 291.8 in²
Step-by-step explanation:
14. The total surface area consists of the area of two equal triangles and three rectangles.
The area of each triangle is [tex]\frac{1}{2} bh[/tex], which is [tex]\frac{1}{2}(24)(14)=168 in²[/tex]. The area of both triangles combined is 336 in².
The area of each of the slanted rectangles is base x height, which is 25x32=800 in². The area of both rectangles combined is 1600 in².
The area of the base rectangle is 14x32=448 in².
Therefore, to find the total surface area, you add the area of each side together: 336+1600+448=2384 in².
15. The equation for the surface area of a cylinder is [tex]2\pi r^{2} +2\pi rh[/tex].
The radius (r) is 4.6 in and the height (h) is 9.1 in.
Therefore, the surface area is:
[tex]2\pi (4.6)+2\pi (4.6)(9.1)=28.888+262.88=291.8\\[/tex] in²
