Question

What is the surface area of the composite solid?

A rectangular prism with a length of 2 meters, width of 8 meters, and height of 2 meters. A rectangular prism with a length of 2 meters, with of 3 meters, and height of 11 meters.

Answer 1

162 m^2

Explanation:

Tops:

The area of the high top is 3*2 = 6

The area of the lower top is 5*2 = 10

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16

Bottom:

The area of the bottom is 8*2 =16

Back:

The area of the back is 2*11 = 22

Front:

The top front is 9*2 =18

The bottom front is 2*2 =4

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22

Sides

The area of the left side is

vertical piece 11*3 =33

horizontal piece 5*2 = 10

-------------

43

The right side is the same = 33+10 = 43

Add them together

top+bottom+ back+front+left+right

16+16+22+22+43+43 =162 m^2