Analyze the diagram below and complete the instructions that follow.

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Step-by-step explanation:

To find the surface area of the rectangular prism, we need to apply the following formula:

( Length.Height ).2 + ( Width.Height ).2 + ( Length.Width ).2

Answer by this formula:

( 15.4,6 ).2 + ( 6.4,6 ).2 + ( 15.6 ).2

= 69.2 + 27,6.2 + 90.2

= 138 + 55,2 + 180

NOTE: I'm not American. I'm just a Turk who wants to help you. So if my sentences are wrong, please forgive me.

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The surface area of the prism is 373.2 unit².

Step-by-step explanation:

Consider the provided diagram.

It is given that w=15, l=6 and h=4.6

The figure has 6 rectangle.

The surface are of prism can be calculated by adding the area of all 6 rectangles.

There are 2 green, 2 violet and 2 blue rectangle.

First find the area of green rectangle:

The area of green rectangle is = w×h

The area of green rectangle is = 15×4.6 = 69 unit²

There are 2 green rectangle: 2×69 unit² = 138 unit²

Find the area of violet rectangle:

The area of violet rectangle is = h×l

The area of violet rectangle is = 4.6×6 = 27.6 unit²

There are 2 violet rectangle: 2×27.6 unit² = 55.2 unit²

The area of blue rectangle:

The area of blue rectangle is = w×l

The area of blue rectangle is = 15×6 = 90 unit²

There are 2 blue rectangle: 2×90 unit² = 180 unit²

The surface area of the prism is the sum of all rectangle's area:

138  unit² + 55.2 unit²+ 180 unit² = 373.2 unit²

Hence, the surface area of the prism is 373.2 unit².