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

16. 228 sq. ft.

17. 98 sq. yd.

18. 141.37 sq. m.

Step-by-step explanation:

16.

Surface Area is the area of all the surfaces summed up.

In this figure, there are 4 sides (squares) and 1 bottom (square) and the top is 4 triangles.We have to sum up all of them to find total surface area.

Area of Square is side * side

So,

4 sides Area = 4 (6 * 6) = 4 * 36 = 144

Bottom Area = 6 * 6 = 36

Area of Triangle = 0.5 * base * height

So,

4 Triangle Area = 4 (0.5 * 6 * 4) = 4(12) = 48

Total Surface Area = 144 + 36 + 48 = 228 sq. ft.

17.

This figure has:

Bottom Rectangle

Left Side Rectangle

Front Triangle

Back Triangle

Little Rectangle to the Right

Slanted Rectangle Top

We find each area and sum.

Remember:

Area of Triangle = 0.5 * base * height

Area of Rectangle = base * height

So, we have:

Bottom = 8 * 2 = 16

Left Rect = 6 * 2 = 12

Front Triangle = 0.5 * 6 * 8 = 24

Back Triangle = same as front = 24

Little Rectangle to the Right = 2 * 1 = 2

Slanted Rectangle Top = 10 * 2 = 20

Now,

Total Surface Area = 16 + 12 + 24 + 24 + 2 + 20 = 98 sq. yd.

18.

This composite figure has a left side code (smaller one) and a right side cone (larger one).

We need to find "lateral surface area of cone" since we don't need the base.

The formula is:

Lateral Surface Area of Cone = pi * r * l

WHere

r is radius and l is slant height given

Larger Cone:

pi * 3 * 10 = 30 pi

Smaller Cone:

pi * 3 * 5 = 15 pi

Total Surface Area = 30 pi + 15 pi = 45 pi or 141.37 sq. m.

answer: 48

just remember to use pemdas:

parentheses

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