Analyze the diagram below and complete the instructions that follow. find the surface area of the rectangular prism. round your answer to the nearest hundredth. a. 157.89 cm^2 b. 306.95 cm^2 c. 346.16 cm^2 d. 347.45 cm^2

OPTION D

Step-by-step explanation:

To solve this problem you must apply the formula for calculate  the surface area of the rectangular prism:

Where w is the width, h is the heigh and l is the lenght.

Based on the rectangular prism shown, you have that:

Finally when you substitute values into the formula you obtain the following result:

D

Step-by-step explanation:

The surface area is the area of all the surfaces, together.

A rectangular prism has 6 rectangular surfaces. We need to add those 6 faces and sum it.

Area = 2 ( 3.23 * 9.08 ) = 58.6568

Area = 2 ( 3.23 * 11.73 ) = 75.7758

Area = 2 ( 11.73 * 9.08 ) = 213.0168

Summing all of them up,

Surface area of Rectangular Prism = 58.6568 + 75.7758 + 213.0168

=347.4494

* Rounding to nearest hundredth, 347.45 cm ^2