Question

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

Answer 1

Answer: OPTION D.

Step-by-step explanation:

The missing figure is attached.

For this exercise you need to use the formula to find the surface area of a Rectangular prism. This is:

$SA = 2wl + 2lh + 2hw$

Where "w" is the width, "l" is the length, and "h" is the height.

In this case you can identify in the figure given in the exercise that the length, the width and the height of this rectangular prism are the following:

$l=11.73\ cm\\w=9.08\ cm\\h=3.23\ cm$

Then, knowing these values you can substitute them into the formula given above and then evaluate, in order to calculate the surface area of this Rectangular prism.

You get that this is:

$SA = 2(9.08\ cm)(11.73\ cm) + 2(11.73\ cm)(3.23\ cm) + 2(3.23\ cm)(9.08\ cm)\\\\SA=347.45\ cm^2$