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PolarNik [594]
3 years ago
11

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

Mathematics
2 answers:
Contact [7]3 years ago
5 0

Answer:

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.

  • There are 2 faces with length 3.23 and width 9.08. So,

Area = 2 ( 3.23 * 9.08 ) = 58.6568

  • There are 2 faces with length 11.73 and width 3.23. So,

Area = 2 ( 3.23 * 11.73 ) = 75.7758

  • There are 2 faces with length 11.73 and width 9.08. So,

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

xxTIMURxx [149]3 years ago
3 0

Answer: OPTION D

Step-by-step explanation:

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

SA=2(wh+lw+lh)

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

Based on the rectangular prism shown, you have that:

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

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

SA=2[(9.08cm*3.23cm)+(11.73cm*9.08cm)+(11.73cm*3.23cm)]=347.45cm^2

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