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

D

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

Answer 2

Answer: OPTION D

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`