Question

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Answer 1

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 $\frac{1}{2} bh$, which is $\frac{1}{2}(24)(14)=168 in²$. 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 $2\pi r^{2} +2\pi rh$.

The radius (r) is 4.6 in and the height (h) is 9.1 in.

Therefore, the surface area is:

$2\pi (4.6)+2\pi (4.6)(9.1)=28.888+262.88=291.8$ in²